NUMERICAL SIMULATION OF ANISOTROPIC ABLATION OF SILICEOUS CONCRETE ANALYSIS OF CCI-3 MCCI EXPERIMENT BY MPS METHOD

Size: px
Start display at page:

Download "NUMERICAL SIMULATION OF ANISOTROPIC ABLATION OF SILICEOUS CONCRETE ANALYSIS OF CCI-3 MCCI EXPERIMENT BY MPS METHOD"

Transcription

1 NUMERICAL SIMULATION OF ANISOTROPIC ABLATION OF SILICEOUS CONCRETE ANALYSIS OF CCI-3 MCCI EXPERIMENT BY MPS METHOD Xn L and Akfum Yamaj Waeda Unvety Okubo, Snjuku-ku, Tokyo , Japan lxn@fuj.waeda.jp; akfum.yamaj@waeda.jp ABSTRACT Te molten coum-concete nteacton (MCCI) penomenon wa analyzed wt te Movng Patcle Sem-mplct (MPS) metod by cayng out a numecal mulaton of CCI-3 expement. Te nteacton of te fully oxdzed PWR coe melt wt a pecally-degned two-dmenonal lceou concete tet ecton wa analyzed, focung on nvetgatng te anotopy n cavty ablaton wt lceou concete. Te pae tanton of te melt and te concete wa modeled baed on a pae tanton model fo mxtue. Te effect of aggegate on te lateal and axal ablaton wee nvetgated by mulatng two pecally degned cae: one wt aggegate n concete and te ote wtout aggegate n concete. Te mulaton eult by MPS metod epoduced te anotopc cavty ablaton pofle and te oveall axal and lateal ablaton ate ageed well wt te expemental meaue. Te expemental and MPS eult bot ndcated tat te cut on te nteface between te baemat and melt pool played an mpotant pat n axal concete ablaton poce by ndeng te axal ablaton. Te mulaton eult by MPS metod alo povded an evdence to uppot te teoy tat aggegate wee te caue of anotopc ablaton pofle n cavty wt lceou concete becaue aggegate could delay te axal baemat ablaton moe gnfcantly tan te lateal one and nfluence te powe plt n te melt pool. KEYWORDS MCCI; MPS metod; Slceou concete ablaton; Aggegate 1. INTRODUCTION In a evee accdent, te late contanment falue may be caued by te temal attack of coe melt on te eacto pt o concete baemat. Te coe melt o molten coum wc dcaged fom te faled eacto veel could dop on and nteact wt te concete baemat. T o-called Molten Coum Concete Inteacton (MCCI) penomenon could lead to gadual ablaton of te baemat and dewall of te eacto pt and jeopadze te ntegty of contanment f t not temnated, namely wen coum cooled down to te tempeatue below tat fo concete ablaton. Te conequence can be ate catatopc nce tee potental k tat a lage amount of fon poduct wll eleae to te envonment. In te lgt of t conequence, te tgge and development of MCCI ould be nvetgated ntenvely to mtgate and pevent t conequence. In MCCI, te man ue tat need to be addeed wen and ow te molten coum wll melt toug te baemat. Tu concete beavo unde g tempeatue and t ablaton ould be nvetgated and NURETH-16, Ccago, IL, Augut 3-Septembe 4,

2 tuded. A numbe of MCCI expement ave been caed out nce 198. Te ealy lage cale expement, uc a SURC [1][], SWISS [3], ACE [4], and MACE [5], ae all one-dmenonal MCCI expement, manly amng at analyzng one-dmenonal ablaton beavo of oxdc coum o metal wt concete, te effect of Z oxdaton on MCCI, and te effect of an ovelyng wate pool. Moe ecent MCCI expement began to focu on te two-dmenonal concete ablaton patten wt epect to te axal veu adal ablaton ato and melt coolablty nduced by late wate njecton. In a ee of CCI expement pefomed by OECD/NEA [6], one of te majo fndng wa tat te ablaton n lceou concete tended to peent an anotopc patten, n wc te adal ablaton wa moe gnfcant tan te axal ablaton. On te ote and, te tet wt lmetone concete owed a moe otopc ablaton patten, n wc te adal and axal ablaton tended to be mla. Snce te ablaton dept n te concete cavty an mpotant paamete egadng concete ntegty, t neceay to undetand te mecanm of te ablaton patten n dffeent type of concete n ode to mantan te contanment ntegty n cae of MCCI. A to te otopc and anotopc ablaton patten egadng lmetone-c a nd lca-c concete, one explanaton tat tee two type of concete ue dffeent aggegate a con ttuent mateal. Geneally, concete a mxtue of mota (a mxtue of cement, wate and fne aggega te) and gavel (lage aggegate), o a mxtue of cement pate and aggegate (and and gavel). Lmeto ne concete compoed of lmetone aggegate (CaCO 3 ) wc would decompoe nto CaO and CO at a tempeatue of K. On te ote and, te lceou concete compoed of lca aggegate, w c temally table at K. Due to te appaently dffeent beavo of aggegate at g tempeat ue, one explanaton to te anotopc ablaton n lceou concete tat t penomenon may be caued by te extence of elatvely table aggegate (lca) tat tll eman old and table at concete melt tempeatue on te axal cavty bottom, wc act a cold ouce n te coum pool tu contbutn g local cut on te baemat uface peventng downwad/axal ablaton and leadng to a tendency of muc eae and ponounced lateal dewall ablaton. Howeve, addtonal expement and analy ae needed to uppot t teoy. Meanwle, eveal compute code ave alo been developed and valdated agant te expemental eult, uc a CORCON [7], WECHSL [8], CORQUENCH [9], COSACO [1], ASTEC/MEDICIS [11] and TOLBIAC-ICB [1]. Tee code wee developed n te am of modelng te pycal and cemcal penomena dung MCCI. In tee code, te coum pool decbed wt dffeent eat tanfe coelaton, te pool tatfcaton model, te cavty ablaton model and te pool/concete nteface model. Pevou code valdaton agant expement and bencmak calculaton ave own dcepance on te axal and lateal ablaton among tee code, and tll uncetante eman n te pedcton of te ape of te ablated cavty [13][14]. Te lage dcepance ndcate te lmtaton of pecfc coelaton and model tat ae ued n te code, wc ugget a necety to develop a multdmenonal code baed on fundamental govenng equaton to fute mpove te accuacy and elablty of numecal analy. Te MPS metod, wc known a te Movng Patcle Sem-mplct metod, wa ft popoed by Kozuka and Oka n 199. In te MPS metod, te bac govenng equaton ae dcetzed baed on patcle nteacton. Lage defomaton of nteface and pae cange pocee can be ealy mulated nce no gd ae needed [15]. Toug te pat yea, te MPS metod a been appled n a wde ange of engneeng applcaton ncludng nuclea engneeng [16][17][18], cemcal engneeng [19] and ocean engneeng []. Epecally n nuclea engneeng, te MPS metod a been valdated and poved effectve to analyze a numbe of penomena n a evee accdent cenao, epecally te analy tat nvolve pae cange n melt beavo, uc a molten coe peadng [1], tatfcaton and oldfcaton/meltng beavo [], melt penetaton and feezng beavo n an ntument tube [3][ 4]. Moeove, MPS metod a alo been uccefully appled to analyze one-dmenonal MCCI expement SURC- and SURC-4 [5]. Smulaton by MPS metod employ bac pycal model uc a eat conducton, meltng, oldfcaton, vcoty, uface tenon, wc povde a moe fundamental NURETH-16, Ccago, IL, Augut 3-Septembe 4,

3 appoac to undetand pycal poce. In te lgt of tee ucceful mplementaton, applcablty of MPS metod fo te evee accdent analy vey feable and effectve. In t pape, numecal mulaton of two-dmenonal MCCI expement CCI-3 wa pefomed by a twodmenonal compute code developed n te fame of MPS metod, povdng a dect numecal modelng of te nteacton of te fully oxdzed PWR coe melt wt a two-dmenonal lceou concete tet ecton dung CCI-3. Te caactetc moment of te dy cavty ablaton poce and te axal/adal ablaton font/ate wee peented. Te effect of te aggegate wc wee beleved to be te caue of anotopc ablaton patten n lceou concete wa alo dcued n detal.. NUMERICAL METHOD.1. MPS Metod Te ma, momentum and enegy conevaton equaton appled n MPS metod ae: D Dt Du P u g Dt H t k T Q (1) () (3) In MPS metod, all te dffeental opeato ae ubttuted accodng to te followng patcle nteacton model. Te common kenel functon ued to dcetze te dffeental opeato defned a: e -1 e w( ) (4) e wee te dtance between patcle, and e te effectve nteacton adu fo naowng down te cope of nteacton. Te patcle numbe denty n at te poton, wc defned a te ummaton of te wegt functon value and popotonal to te flud denty, defned a: n w( j - ) (5) j Te gadent model and Laplacan model tat ae ued to dcetze te gadent and Laplacan opeato ae own n Eq. (6) and (7). Gadent model: d j w j e, j j, n j j (6) NURETH-16, Ccago, IL, Augut 3-Septembe 4,

4 4 Laplacan model:, ( ), j j e j j d w n (7) wee v v j j j j j dv w dv w w w ) ( ) ( ) ( ) (.. Pae Tanton Model Snce meltng and oldfcaton pocee of mateal ae te man concen dung MCCI, pae tanton modeled wt epect to te tate of cange of eac patcle n MPS metod. Eac patcle caactezed by tempeatue T, entalpy and old facton. Te tempeatue of te patcle calculated a a functon of entalpy, wc : C T T T T C T T l pl l l l l p 1 (8) Te old facton of te patcle defned a: (9) Wen =, te patcle n a completely flud tate; wen =1, te patcle n a completely old tate; wen < <1, te patcle n a patally flud and patally old tate. Analy of melt peadng expement fo tanle teel SPREAD uggeted tat about 55% of eat of fuon need to be emoved fom te melt (.e. contanng 55% old facton) to top te peadng poce [6]. T ndcated tat a ctcal value of old facton to detemne wen molten mateal cange fom te flud to old mpotant..3. Vcoty Model fo Coum Mxtue Te vcoty of molten coum and concete mxtue an mpotant paamete to pedct t eologcal beavo dung MCCI. Snce te vcoty of molten coum and concete mxtue a tong dependence on tempeatue, epecally between te oldu and lqudu tempeatue of coum, a tempeatue dependent model wa ued n cuent MPS code. Te vcoty meauement wa conducted wt 7.5 wegt-% lceou concete and analyzed by Epten [7], and could be coelated a follow: 736 NURETH-16, Ccago, IL, Augut 3-Septembe 4, NURETH-16, Ccago, IL, Augut 3-Septembe 4, 15

5 -17 83/T e, K T 84K (1) -5 /T e, 84K T 6K Te vcote fo ove 6K and le tan K wee deemed a contant value calculated fom te above coelaton at K and 6K, epectvely..4. Numecal Calculaton Pocedue In MPS metod, a em-mplct algotm employed. Te vcoty tem and gavty tem fom Equ. and te tempeatue ae explctly calculated, wle te peue gadent tem mplctly calculated. In eac tme tep, te momentum equaton ft explctly olved to obtan te tempoal velocte and poton except te peue gadent tem. Ten te peue calculated mplctly wt te followng Poon equaton of peue (Eq. 11) deduced fom te ma conevaton equaton to mantan te ncompeblty of te flud. Ten te poton and velocte of te patcle ae coected by te peue gadent a own n Eq A calculaton flowcat fo te MPS algotm own n Fg.1. 1 P k t * n n n (11) k1 * t u u - P (1) k1 * t - P (13) 3. TEST AND SIMULATION CONDITIONS 3.1. CCI-3 Expement Decpton Coe-Concete Inteacton (CCI) expement conted of a ee of lage cale eacto mateal expement pefomed wtn te OECD/MCCI pogam n ode to adde emanng uncetante elated to long-tem two-dmenonal coum-concete nteacton unde bot wet and dy cavty condton [6]. CCI-3 expement wa degned to nvetgate te nteacton of a fully oxdzed Peuzed Wate Reacto (PWR) coe melt, ntally contanng 15 wegt-% lceou concete, wt a pecally degned two-dmenonal lceou concete tet ecton. Te lceou concete fo t tet wa Euopean type. Te compoton of coe melt and concete ae own n Table 1 and, epectvely. Te appaatu fo contanment of te coe mateal cont of a tet ecton tat about 3.4 m tall wt a quae ntenal co-ecton wc ntally meaue 5 cm x 5 cm. Te pncpal component of te tet ecton cont of a bottom uppot plate, two dewall ecton, one baemat ecton and an uppe encloue ld. A de vew and top vew of te lowe pat of te tet ecton ae own n Fg. and 3, epectvely. Te concete baemat ntally 55 cm deep and eac of te two concete dewall 56. cm tck, wc povde cm of emanng dewall tckne once te 35 cm axal and lateal ablaton lmt ave been eaced. A vdeo camea wa ntalled on te uppe ld of te tet ecton to ecod te vual nfomaton egadng te coum-concete nteacton and melt quencng beavo. Type K and Type C temocouple aemble wee ntumented nto te concete dewall and baemat to ecod te tempeatue data egadng te two-dmenonal ablaton pofle and melt a a functon of tme. Te man tet condton and pocedue ae lted n Table 3. NURETH-16, Ccago, IL, Augut 3-Septembe 4,

6 Explct calculaton Implct calculaton Fgue 1. MPS algotm flowcat Fgue. Te lowe pat of CCI-3 tet ecton: de vew [6] 6 NURETH-16, Ccago, IL, Augut 3-Septembe 4,

7 Fgue 3. Top vew of te tet ecton of CCI-3 [6] Table I. Melt compoton n CCI-3 [6] Compoton UO ZO Wegt pecent (%) Calcned Concete* *Calcned concete: 79./.9/15.6/4.5 wegt-% SO /MgO/CaO/Al O 3 Table II. Man cemcal compoton of te lceou concete ued n CCI-3 [6] C Compoton SO CaO Al O 3 Fe O 3 MgO K O Na O SO 3 TO Wegt pecent (%) Table III. Tet pocedue of CCI-3 [6] Tme(mnute) Majo event of CCI Temte bun ntated.. Melt geneaton completed; ntal tempeatue ~195 C.-.8 Onet of baemat ablaton detected n te SE baemat quadant, and at., +1., +., and +3. cm elevaton on bot concete dewall. 1.6 Taget nput powe of 1 kw eaced Onet of utaned baemat ablaton detected at all ntument locaton Sdewall ablaton eace 9. cm n Sout wall at +1. cm elevaton; wate njecton ntated; end of dy cavty ablaton 14.3 Lance ued to beac te cut. No notceable nceae n te deb coolng ate Ablaton eace 34.3cm lmt at te +1 cm elevaton n te Sout dewall Powe upply opeaton temnated Data loggng temnated. NURETH-16, Ccago, IL, Augut 3-Septembe 4,

8 3.. Smulaton Condton of CCI-3 expement In ode to model CCI-3 expement, two cae wee caed out wt two lgtly dffeent ntal patcle confguaton a own n Fg. 4. Tee two patcle confguaton wt te ame geomety wee almot te ame wt te only dffeence lyng n wete tee exted aggegate n te concete. Te pupoe of buldng tee two dffeent patcle confguaton and cayng out two mulaton cae wa to dentfy te effect of aggegate on MCCI nce aggegate wee beleved to account fo te anotopc ablaton pofle n cavty fo MCCI expement wt lceou concete. Snce te geomety of te tet ecton n CCI-3 ymmetcal, only alf of te eal tet ecton geomety wa bult n condeaton of computatonal cot. Fve type of patcle wee ued to epeent dffeent mateal n te geomety, namely te melt, te concete, te aggegate and two type of wall patcle. Te aggegate patcle wee condeed to dtbute evenly wtn te concete. Addtonally, anote two type of patcle wee et to epeent te oldfed melt (cut) and te molten concete fo pae tanton mulaton. Te bulk of MgO dewall wee decbed wt dummy wall patcle, and wall patcle wee appled on te laye tat mmedately contacted wt te melt and concete. Te dffeence between tee two type of wall patcle tat te peue wa et to be and not calculated fo dummy wall patcle, wle te peue of wall patcle wa calculated n eac tme tep. Meanwle, nonlp bounday condton wa appled on t laye of wall patcle. Te left dewall wa deemed a adabatc dung mulaton. A detaled decpton of te ntal pycal popete of te mateal lted n Table 4. Te pycal popete of te melt, concete and lca aggegate efeenced eveal lteatue on pycal popete fo tee mateal [8] [9], and tempeatue dependence wa taken nto condeaton dung mulaton. Hee te ame pycal popete fo concete wee appled n bot cae condeng concete a a mxtue n geneal. In t way, te nfluence of te aggegate could be bette peented altoug n te eal tuaton te concete ould be condeed a a mxtue of mota and aggegate. Te ntal condton of mulaton fo CCI-3 wee lted n Table 5. Snce te MPS mulaton only condeed dy cavty ablaton, te mulaton tme 17.6 mnute (646. econd). Cae 1: Wt aggegate Cae : Wtout aggegate Fg.4 Intal patcle confguaton fo CCI-3 mulaton 8 NURETH-16, Ccago, IL, Augut 3-Septembe 4,

9 Popety Table IV. Intal pycal popety of te mateal Coum (PWR coe melt, wt 15 wt-% lceou concete) Concete (lceou, 3K) Aggegate (lca, 3K) MgO (3K) Denty (kg/m 3 ) Specfc eat (J/kg ) Heat conducton coeffcent 4..5 (<173K) (W/m K) 1.3 (173K) Soldu tempeatue (K) Lqudu tempeatue (K) Latent fuon eat o decompoton eat (kj/kg) Table V. Intal condton fo CCI-3 mulaton Paamete CCI-3 Patcle ze (Intal aveage dtance between patcle) (m).8 Smulaton tme () 646. Total patcle numbe 89 Intal melt tempeatue (K) 3. Intal concete tempeatue (K) 3. Input powe (kw) RESULTS AND DISCUSSIONS Fgue 4 ow a ee of epeentatve fgue depctng te mulated pogeon of MCCI n te CCI- 3 expement. Two et of fgue ae own fo Cae 1 (wt aggegate) and Cae (wtout aggegate). Fom te fgue, t can be een tat bot cae peented an anotopc pofle n te cavty at te end of mulaton, n wc te lateal dewall ablaton wa muc moe gnfcant tan te axal baemat ablaton. T ageed wt te pot-tet vew of fnal cavty ape n CCI-3 expement. Te dewall ablaton occued at 5 and 6 fo Cae 1 and Cae, epectvely wle te baemat ablaton dd not occu untl at 35 and 31 fo Cae 1 and Cae, epectvely. Te delay of te baemat ablaton wa caued by te tck cut tat fomed on te nteface between te melt pool and te baemat at te vey ft begnnng of te mulaton. In te mulaton, t wa aumed tat cut fomed only on te nteface between te melt pool and te baemat, namely no cut would develop along te dewall. T aumpton wa made baed on te obevaton tat CCI-3 expement owed evdence of ntal cut fomaton on te concete baemat, but tee wa no evdence of ntal dewall cut fomaton fo t tet. Fo bot cae, te cut dd not beak untl te late pae of te expement. T o-called ncubaton peod dung wc te ablaton ate vey low play an mpotant pat n MCCI. It noted tat te cut boke only due to eat tanfe wle tee ould be ome lgt cemcal doluton caued by molten concete. T wa neglected n cuent mulaton nce te cut doluton wa muc le apd fo lceou concete tan lmetone concete [3]. Te duaton of te ncubaton peod wa longe n Cae 1 tan tat n Cae. T pobably one of te effect tat aggegate ave on MCCI becaue aggegate ae moe temally table tan concete. Altoug te concete tat wa n ntemedate contact wt te cut could tll be ablated by te cut of g tempeatue, tee wa an obvou delay on te concete ablaton pogeon becaue te eat conducton between cut and concete wa muc malle tan tat between te flud coum melt and concete. Te flud coum melt could ceate a convectve effect on te concete tat contacted wt t, wc could NURETH-16, Ccago, IL, Augut 3-Septembe 4,

10 enance te eat tanfe between te melt and concete, and lead to fate ablaton tan fo te cut and concete. Cae 1 Cae Mel Concete Aggegat g Wal Dummy Molten Cut Fgue 5. Repeentatve moment of mulated MCCI poce n CCI-3 expement Fo te fnal melt pool, tatfcaton beavo wa obeved n bot cae. Two zone can be clealy ecognzed: a coum melt pae mmedately ove te baemat and an ovelyng molten concete pae. Fo Cae 1, tee wa anote pae comped of aggegate between te coum melt pae and te molten concete pae. T penomenon agee wt te pot-tet obevaton of CCI-3 expement. Te pot-tet obevaton ndcated tat two zone appeaed to be peent: a eavy monoltc oxde pae mmedately ove te baemat tat wa enced n coe oxde, wt a econd ovelyng poou, lgt oxde pae tat wa enced n concete oxde fo lceou concete tet. T tatfcaton beavo wa caued by te denty dffeence between te mateal. Afte meltng, te molten concete and aggegate patcle wt lowe denty compaed to coum melt gadually oe, meged nto te melt pool, floated and occuped te uppe pat of te melt pool. Te mulated axal and lateal ablaton font of Cae 1 and Cae ae compaed wt expemental meauement n CCI-3 a peented n Fg.5. Te lateal ablaton font pogeed muc moe quckly tan te axal ablaton font. Fo lateal ablaton, Cae 1 and Cae peented ate mla tend wt Cae avng a lgtly fate ablaton ate. Te ablaton ate wa qute teady befoe baemat cut boke wle deceaed gnfcantly afte baemat cut boke. Te baemat cut beak gave e to a udden nceae n axal ablaton ate, wc eulted n te deceae n te lateal ablaton dung te lat 1 econd of te mulaton. Te fnal lateal ablaton font (dept) of Cae 1 and Cae wee almot te ame, wc wee 3cm eac and lgtly ge tan te expemental meauement 9.cm at te end of te dy cavty ablaton. On te ote and, te axal ablaton ate emaned elatve low compaed to te lateal one. Te axal ablaton ate of Cae 1 and Cae emaned teadly low and came to a gnfcant e afte 6 and 58, epectvely. T wa exactly wen baemat cut boke fo bot cae. In bot cae, te baemat cut neve fomed agan afte te beak. Te fnal axal ablaton font (dept) of Cae eaced 1cm and wa twce a muc a tat of Cae 1. T ndcated tat te aggegate dd ave 1 NURETH-16, Ccago, IL, Augut 3-Septembe 4,

11 an effect of lowng down te axal ablaton, wc povde evdence to uppot te teoy tat te aggegate ave an effect on te anotopc ablaton pofle wt lceou concete condeng tat tey could low down te axal ablaton. Te eaon wy tee uc delay n baemat cut beak and lgt delay n dewall ablaton could be peceved a tat te aggegate ave a ge temal conductvty tan concete, wc could nfluence te powe plt n te melt pool. A aggegate of ge temal conductvty could gan moe eat fom te coum mateal tan concete, te eat tat wa dtbuted to te cut and concete wa le n Cae 1 tan Cae, wc eulted n late cut beak and lowe lateal ablaton n Cae 1. Fgue 6. Axal and lateal ablaton font of MPS mulaton and CCI-3 expemental meaue Te MPS pedcted and expemental aveage ablaton ate of CCI-3 ae own n Table 6. Fo lateal ablaton, te dy cavty ablaton poce can be dvded nto two pae, wc maked by te tme aound 8 wen axal baemat ablaton began. Te lateal ablaton ate afte axal baemat ablaton began (afte 8) wa lowed down by te commencement of nceae n axal baemat ablaton ate. Te lateal ablaton ate befoe 8 pedcted by MPS metod fo Cae 1 and Cae ae lowe tan tat of te expemental meauement, wle te lateal ablaton ate afte 8 pedcted by MPS metod fo bot cae ae ge tan tat of te expemental meauement. In geneal, condeng te wole dy cavty ablaton poce, namely dung ft 646 of CCI-3 expement, te oveall aveage ablaton ate pedcted by MPS metod agee well wt te value calculated fom expemental meauement. Fo axal ablaton ate, te oveall aveage lateal ablaton ate about 6 tme of te oveall aveage axal ablaton ate. Te axal ablaton ate of Cae 1 wa cloe to te expemental meauement wle tat of Cae wa twce a muc a te expemental meauement. T ndcated tat aggegate could nde te axal baemat ablaton, wc beleved to be te man caue of te anotopc ablaton pofle wt lceou concete. Meanwle, due to te lgt dffeence of lateal ablaton ate befoe and afte 8, te aggegate alo ave an nfluence on lateal ablaton ate. Howeve, te effect not a obvou a tat on te axal ablaton ate. A pevouly dcued, t caued by te dffeence n temal conductvte of aggegate and concete. Te dffeence of nfluence on axal and adal ablaton ate due to te dffeent amount of aggegate tat wa embedded n eac laye of te concete block and tat wa gadually accumulated n te melt pool. Wt moe aggegate beng gadually eleaed nto te melt pool a ablaton pogeed, te dffeence of adal ablaton ate of Cae 1 and gadually nceaed, wc ndcated moe eat wa dpated to aggegate floatng n te melt pool ate tan dewall and baemat cut n Cae 1 tan n Cae. T agan demontated te nfluence of aggegate on powe plt n MCCI. NURETH-16, Ccago, IL, Augut 3-Septembe 4,

12 Table VI. Expemental and MPS pedcted concete ablaton ate fo CCI-3 Aveage ablaton ate MPS MPS Expement (cm/) (Cae1-Wt aggegate) (Cae-Wtout aggegate) Lateal (befoe 8) Lateal (afte 8) Lateal (n oveall) Axal CONCLUSION In t pape, a two-dmenonal code fo MCCI analy wa developed n te fame of MPS metod. Baed on bac govenng equaton and le ue of empcal coelaton compaed to ote conventonal MCCI code, te developed code wa uccefully appled to te numecal mulaton of CCI-3 expement ntended to nvetgate te nteacton of fully oxdzed PWR coe melt wt twodmenonal lceou concete tet ecton. Te followng concluon can be dawn fom te peent tudy: 1. Te MPS mulaton eult peented an anotopc pofle n cavty at te end of mulaton, wc epoduced and ageed well wt te pot-tet obevaton of cavty ape n CCI-3 tet. Te oveall lateal and axal ablaton ate evaluated fom te MPS mulaton eult matced well wt te expemental meauement, but te detaled ablaton font toy by MPS mulaton ad ome devaton fom te expemental meauement. Te MPS mulaton eult owed tat te oveall aveage lateal ablaton ate wa about 6 tme tat of te aveage lateal ablaton ate, wc wa alo content wt te expemental obevaton.. Cut on te nteface between te baemat and melt pool play an mpotant pat n axal concete ablaton poce. Accodng to MPS mulaton, te majo delay of axal ablaton wa caued by te cut fomaton on te nteface between te baemat and melt pool. Once te cut boke, te axal ablaton ate began to nceae damatcally and te lateal ablaton ate coepondngly deceaed becaue of te cange n lateal and axal powe plt. Moe tudy needed to extapolate cuent concluon to plant cale. In eal plant-cale MCCI, cut fomaton and beak alo cucal to detemne te pogeon of MCCI. Howeve, te cut tablty and beak mecanm fo eal plant cavty need moe eeac and tudy. 3. Aggegate ave an nfluence on bot te axal and lateal ablaton ate accodng to te analy of te dffeent MPS eult fo CCI-3 expement: te cae wt and wtout aggegate. Te dffeence n aveage axal ablaton ate between tee two cae ndcated tat aggegate could nde te axal ablaton, wle te nfluence on lateal ablaton ate wa not a obvou a on te axal one. Te nfluence of te aggegate on powe plt n MCCI wa alo peented. Due to te ge temal conductvty and denty, aggegate could count fo moe powe conumpton tan concete. NOMENCLATURE Cp d g 1 pecfc eat, J/( kg K) dmenon numbe gavty acceleaton, m/ entalpy, J/ kg entalpy wen meltng begn, J/ kg entalpy wen meltng completely end, H m n P Q J/ kg temal enegy, J/ m3 ma, kg patcle numbe denty peue, Pa eat ouce, W/m3 patcle locaton vecto 1 NURETH-16, Ccago, IL, Augut 3-Septembe 4,

13 T t patcle dtance, m tempeatue, K tme, u w patcle velocty vecto wegt functon Geek lette Scala vaable λ coeffcent ρ denty, kg/m3 vcoty, Pa Supecpt/ubcpt e effectve,j patcle numbe l lqudu * tempoal n, n-1 degnaton of tme tep ntal condton oldu ACKNOWLEDGMENTS Te pofeonal gudance and elp fom D. Yoak Oka, Emetu Pofeo of te Unvety of Tokyo, gly appecated. Te MPS code of te peent tudy wa developed baed on te ognal code, MPS-SW-Man-Ve. tat wa kndly povded by S. Kozuka and K. Sbata (Kozuka, S and Sbata, K, 6). Te fnancal uppot fom Cna Scolap Councl toug offeng colap to te ft auto gatefully acknowledged. REFERENCES 1. E.R. Copu et al., Coe-Concete Inteacton Ung Molten Steel wt Zconum on a Baaltc Baemat: Te SURC-4 Expement, NUREG/CR-4994, Sanda Natonal Laboatoe, Albuqueque, NM (1989).. E.R. Copu, R.E. Bloe, J.E. Bockmann et al., Coe-Concete Inteacton Ung Molten UO wt Zconum on a Baaltc Baemat, Te SURC- Expement, Sanda Natonal Laboatoe, Repot NUREG/CR-5564, SAND9-1 (199). 3. R.E. Bloe, J. E. Gonage, A. J. Suo-Anttla et al., SWISS: Sutaned Heated Metallc Melt/Concete Inteacton wt Ovelyng Wate Pool, NUREG/CR-477, SAND (1987). 4. D.H. Tompon et al., Temal Hydaulc Apect of te Lage-cale Integal MCCI Tet n te ACE Pogam, Poceedng of Second OECD (NEA) CSNI Specalt Meetng on Molten Coe Deb- Concete Inteacton, Kalue, Gemany, Apl 1-3, 199 pp (199). 5. B.R. Spence et al., Reult of MACE Tet M and M1, Second OECD-CSNI Specalt Meetng on Molten Coe Deb-Concete Inteacton, Poceedng of Second OECD (NEA) CSNI Specalt Meetng on Molten Coe Deb-Concete Inteacton, Kalue, Gemany, Apl pp (199). 6. M. T. Fame, S. Lompek, D. J. Kldonk, and R. W. Aeclmann, OECD MCCI Poject -D Coe Concete Inteacton (CCI) Tet: Fnal Repot, OECD/MCCI-5-TR5 (6). 7. V. Stzov, V. Kanukova, T. Vnogadova et al., An Aement of te CORCON-MOD3 Code Pat I: Temal-Hydaulc Calculaton, NUREG/IA-19, Offce of Nuclea Regulatoy Reeac U.S. Nuclea Regulatoy Common Wangton, DC (1996). 8. J.J. Fot, B. Remann, G. Adogue et al., Te WECHSL-Mod3 Code: A Compute Pogam fo te Inteacton of a Coe Melt wt Concete Includng te Long Tem Beavo - Model Decpton and Ue Manual,, Focungzentum Kalue, Tecnk und Umwelt, FZKA 55 (1995). 9. M.T. Fame, Modelng of Ex-veel Coum Coolablty wt te CORQUENCH Code, Poceedng of 9t Intenatonal Confeence on Nuclea Enegy, Nce, Fance, Apl 8-1, 1 (1). 1. M. Ne, M. Fce and G. Lonet, Advanced MCCI Modelng Baed on Stngent Couplng of NURETH-16, Ccago, IL, Augut 3-Septembe 4,

14 Temal Hydaulc and Real Soluton Temocemty n COSACO, Poceedng of 1t Intenatonal Confeence on Nuclea Enegy, Alngton, Vgna, USA, Apl 11-1, pp (). 11. M. Canga, C. Mun, B. Mcel et al., Statu of te Intepetaton of Real Mateal D MCCI Expement wt te ASTEC/MEDICIS Code, MCCI-OECD emna, Cadaace, St-Paul lez Duance, Fance, Octobe 1-11, 7 (7). 1. B. Spndle, B. Tounae, and J. M. Sele, Smulaton of MCCI wt te TOLBIAC-ICB Code Baed on te Pae Segegaton Model, Nucl. Eng. De. 36(19-1), pp (6). 13. M. Canga, L. Fey, J.F. Haquet et al., MCCI n An Oxde/Metal Pool: Leon Leant fom VULCANO, Geene, ABI and BALISE Expement and Remanng Uncetante, 4t Euopean Revew Meetng on Sevee Accdent Reeac (ERMSAR-1), Bologna, Italy, May 11-1, 1 (1). 14. M. Canga, B. Spndle, E. Dufou et al., Smulaton of Coum Concete Inteacton n D Geomety, Pog. n Nucl. Enegy 5, pp (1). 15. S. Kozuka and Y. Oka, Movng-Patcle Sem-mplct Metod fo Fagmentaton of Incompeble Flud, Nucl. Sc. Eng.13, pp (1996). 16. W.X. Tan, Y. Iwata, S. Ikej et al. Numecal Computaton of Temally Contolled Steam Bubble Condenaton Ung Movng Patcle Sem-mplct (MPS) Metod, Ann. Nucl. Enegy 37, pp (1). 17. R.H. Cen, W.X. Tan, G.H. Su et al., Numecal Invetgaton on Bubble Dynamc dung Flow Bolng Ung Movng Patcle Sem-mplct Metod, Nucl. Sc. Eng. 4(11), pp (1). 18. G. L, Y. Oka, M. Fuuya, M. Kondo, Expement and MPS Analy of Statfcaton Beavo of Two Immcble Flud, Nucl. Eng. De. 65, pp. 1-1 (13). 19. R.H. Cen, W.X. Tan, G.H. Su et al., Numecal Invetgaton on Bubble Condenaton and Coalecence of Bubble Pa Ung Movng Patcle Sem-mplct Metod, Cem. Eng. Sc. 66(1), pp (11).. K. Sbata S. Kozuka, M. Saka, K. Tanzawa, Lagangan Smulaton of Sp-wave Inteacton n Roug Sea, Ocean Eng. 4(3), pp (1). 1. T. Matuua and Y. Oka, MPS Smulaton of Speadng Beavo of Molten Mateal, Poc. of III Intenatonal Confeence on Patcle-baed Metod-Fundamental and Applcaton Patcle (13).. X. L, W.X. Tan, R.H. Cen et al., Numecal Smulaton on Sngle Taylo Bubble Rng n LBE Ung Movng Patcle Metod, Nucl. Eng. De. 65, pp.7-34 (13). 3. R.H. Cen and Y. Oka, Numecal Analy of Feezng Contolled Penetaton Beavo of te Molten Coe Deb n an Intument Tube wt MPS, Ann. Nucl. Enegy 71, pp.3 33 (14). 4. R.H. Cen and Y. Oka, Numecal Invetgaton on Melt Feezng Beavo n a Tube by MPS Metod, Nucl. Eng. De. 73, pp (14). 5. X. L and Y. Oka, Numecal Smulaton of te SURC- and SURC-4 MCCI Expement by MPS Metod, Ann. Nucl. Enegy 73, pp (14). 6. T.N. Dn, M.J. Konovalkn, and B.R. Segal, Coe Melt Speadng on a Reacto Contanment Floo, Pog. n Nucl. Enegy 36 (4), pp (). 7. M. Epten, Temal Hydaulc of Molten Coe Concete Inteacton: a Revew and Compaon of Heat Tanfe Model wt Data, Intepetaton of Reologcal Data, and a Teoy fo te Onet of Concete Spallaton, Palo Alto: Electc Powe Reeac Inttute (ACEX-TR-1) (1998). 8. T. Sevón, Molten Coe Concete Inteacton n nuclea accdent - teoy and degn of an expemental faclty, VTT Tedotteta. Reeac Note 311 (5). 9. P. Bamfot, D. Colm, J. Gbb, T. Haon, Popete of Concete fo ue n Euocode, ttp:// 135.pdf (8). 3. L. Caenn, J.F. Haquet, C. Jouneau, Cut Fomaton and Doluton dung Coum Concete Inteacton, Poceedng of ICAPP, Nce, Fance, May 13-18, 7 (7). 14 NURETH-16, Ccago, IL, Augut 3-Septembe 4,

Work and Energy. A Force F will do work on a particle only when the particle undergoes a displacement in the direction of the force.

Work and Energy. A Force F will do work on a particle only when the particle undergoes a displacement in the direction of the force. The wok of a oce Wok and Enegy A oce wll do wok on a patcle only when the patcle undegoe a dplacement n the decton of the foce. d d coθ d d nt of wok: N m o Joule (J) oce Dplacement Wok xed pont (zeo dp.)

More information

Perimeter, Area, and Circumference

Perimeter, Area, and Circumference 51 CHAPTER 9 Geomety B C E A 5x x M x D F To contuct a golden ectangle, one in wic te atio of te lengt to te widt i equal to te atio of te lengt plu te widt to te lengt, egin wit a quae ABCD. Wit te point

More information

Essential Question How can you find the surface area and the volume of a cone? 3 in. π

Essential Question How can you find the surface area and the volume of a cone? 3 in. π 11.7 Suface Aeas and Volumes of Cones Essential Question How can you find te suface aea and te volume of a cone? Finding te Suface Aea of a Cone Wok wit a patne. Constuct a cicle wit a adius of 3 inces.

More information

Total surface area: the area of the lateral faces combined with the area of both bases

Total surface area: the area of the lateral faces combined with the area of both bases Capte 9: Measuement and te Metic System Section 9.: Volume and Suface Aea Total Suface Aea of a Cylinde and a Pism Lateal aea: te aea of te egions bounded by te lateal faces of a pism Total suface aea:

More information

An Indian Journal. Full Paper. Trade Science Inc.

An Indian Journal. Full Paper. Trade Science Inc. Tade Science Inc. July 006 Volume 1 Iue 1 CTAIJ, 1(1), 006 [8-1] Specific Heat Capacity Of Some Mineal, Syntetic And Semi-Syntetic Automotive Lubicant Oil Afte Temal Degadation Coeponding Auto Joé Calo

More information

Geometry Supplement for Math 60 Perimeter, Area, and Volume

Geometry Supplement for Math 60 Perimeter, Area, and Volume Geomety Suppement fo Mat 60 Peimete, Aea, and Voume Geomety comes fom te Geek wods geo meaning eat and meton meaning measue. Today we wi ean about ow to measue cetain featues of two- and tee-dimensiona

More information

5.10. Area and Perimeter INSERT

5.10. Area and Perimeter INSERT 5.10 Aea and Peimete INSERT A Peimete We egin tis section y eviewing te definition of a polygon, and te definition of peimete. Definition A polygon is a closed geometic figue, wit at least tee sides, in

More information

Passive Cooling of Glazing Surfaces Using Solar Chimneys

Passive Cooling of Glazing Surfaces Using Solar Chimneys Intenational Confeence on Renewable Enegies and Powe Quality (ICREPQ 16 Madid (Spain, 4 t to 6 t May, 2016 Renewable Enegy and Powe Quality Jounal (RE&PQJ ISSN 2172-038 X, No.14 May 2016 Passive Cooling

More information

COMPARATIVE STUDY OF SPECIFIC HEAT CAPACITIES OF SOME VEGETABLE OILS OBTAINED BY DSC AND MICROWAVE OVEN

COMPARATIVE STUDY OF SPECIFIC HEAT CAPACITIES OF SOME VEGETABLE OILS OBTAINED BY DSC AND MICROWAVE OVEN Jounal of Temal Analysis and Caloimety, Vol. 79 (2005) 283 287 COMPARATIVE TUDY OF PECIFIC HEAT CAPACITIE OF OME VEGETABLE OIL OBTAINED BY DC AND MICROWAVE OVEN J. C. O. antos 1*, M. G. O. antos 2, J.

More information

Research Article The Vertebral Column, Ribs, and Sternum of the African Giant Rat (Cricetomys gambianus Waterhouse)

Research Article The Vertebral Column, Ribs, and Sternum of the African Giant Rat (Cricetomys gambianus Waterhouse) Te Scentfc Wold Jounal Volume 2013, Atcle ID 973537, 5 pae ttp://dx.do.o/10.1155/2013/973537 Reeac Atcle Te Vetebal Column, Rb, and Stenum of te Afcan Gant Rat (Ccetomy ambanu Wateoue) Mattew Ayokunle

More information

Reflections on the drinking bowl 'Balance'

Reflections on the drinking bowl 'Balance' Supplement to Fun wit oueold object and centre of ma, originally publied in te German journal Pyik in unerer Zeit, 9-96 eflection on te drinking bowl Balance I te bowl made of maive tainle teel? No: ma

More information

A snapshot of SO 2 concentrations in Australian wines

A snapshot of SO 2 concentrations in Australian wines A snapshot of SO 2 concentations in Austalian ines Sulfu dioxide (SO 2 ) is a pesevative idely used in foods and beveages. In inemaking, SO 2 is a vey common additive, due to its antioxidant and antimicobial

More information

Estimation of Vapor Quality at Compressor Suction of Air Conditioner

Estimation of Vapor Quality at Compressor Suction of Air Conditioner uue Univeity uue e-ub Intenational Refigeation an Ai Conitioning Confeene Sool of Meanial Engineeing 2014 Etimation of Vapo Quality at Compeo Sution of Ai Conitione Kazuio Eno Hitai, Lt., Japan, kazuio.eno.un@itai.om

More information

Surface Roughness Measurement on a Wing Aircraft by Speckle Correlation

Surface Roughness Measurement on a Wing Aircraft by Speckle Correlation Senor 13, 13, 1177-11781; do:1.339/1391177 Artcle OPEN ACCESS enor ISSN 144-8 www.mdp.com/journal/enor Surface Rougne Meaurement on a Wng Arcraft by Speckle Correlaton Félx Salazar * and Alberto Barrento

More information

The Study of Creating an Operational Performance Model for Restaurants Serving Afternoon Tea in Taiwan

The Study of Creating an Operational Performance Model for Restaurants Serving Afternoon Tea in Taiwan The Study of Ceatng an Opeatonal Pefoance Model fo Retauant Sevng Aftenoon Tea n Tawan D. Jung-Bn Chn, Depatent of Hoptalty Manageent, Hungkuang Unvety, Tachung, Tawan ABSTRACT In ecent yea, etauant evng

More information

The collision avoidance control algorithm of the UAV formation flight

The collision avoidance control algorithm of the UAV formation flight e collson avodance control algortm of te UA formaton flgt Jalong Zang Janguo Yan Xaoun Xng Dongl Yuan Xaole Hou Xaoqao Q 2 Pu Zang 3 Scool of Automaton Control, ortwest Polytecncal Unversty, X an {zl07@mal.nwpu.edu.cn;

More information

Investigation of a hydraulic impact. a technology in rock breaking

Investigation of a hydraulic impact. a technology in rock breaking Investigation of a ydaulic imact a tecnology in ock beaking Matin Genet * Laboatoie de Mécanique et de Tecnologie, 61 av. du Pésident Wilson, 94235 Cacan Cedex, Fance D. Wenyi Yan Senio Lectue Deatment

More information

Planck + Einstein on -Day Fundamental Physical Constants in a Relativistic Perspective and The Design of a Black Hole Gun!

Planck + Einstein on -Day Fundamental Physical Constants in a Relativistic Perspective and The Design of a Black Hole Gun! Plank + Einstein on -Day Fundamental Pysial Constants in a Relatiisti Pesetie and Te Design of a Blak Hole Gun! Esen Gaade Haug Nowegian Uniesity of Life Sienes Ma 7, 06 Abstat Tis ae sow ow we an maniulate

More information

16.1 Volume of Prisms and Cylinders

16.1 Volume of Prisms and Cylinders Name Class Date 16.1 Volume of Prisms and Cylinders Essential Question: How do te formulas for te volume of a prism and cylinder relate to area formulas tat you already know? Explore G.11.D Apply te formulas

More information

Optimization Model of Oil-Volume Marking with Tilted Oil Tank

Optimization Model of Oil-Volume Marking with Tilted Oil Tank Open Journal of Optimization 1 1 - ttp://.doi.org/1.36/ojop.1.1 Publised Online December 1 (ttp://www.scirp.org/journal/ojop) Optimization Model of Oil-olume Marking wit Tilted Oil Tank Wei Xie 1 Xiaojing

More information

OD DVOSTRUKO ZASTAKLJENOG PROZORA DO DVOSTRUKE FASADE INDIKATORI PRENOSA TOPLOTE STACIONARNOG STANJA

OD DVOSTRUKO ZASTAKLJENOG PROZORA DO DVOSTRUKE FASADE INDIKATORI PRENOSA TOPLOTE STACIONARNOG STANJA OD DVOSTRUKO ZASTAKLJENOG PROZORA DO DVOSTRUKE FASADE INDIKATORI PRENOSA TOPLOTE STACIONARNOG STANJA FROM DOUBLE-GLAZED WINDOW TO DOUBLE-SKIN FACADE STEADY STATE HEAT TRANSFER INDICATORS Gabriel NĂSTASE

More information

Heat Spreading Revisited Effective Heat Spreading Angle

Heat Spreading Revisited Effective Heat Spreading Angle Heat Spreadng Revsted Effectve Heat Spreadng Angle Drk Schwetzer and Lu Chen Infneon Technologes AG Am Campeon -, 85579 Neubberg, Germany drk.schwetzer@nfneon.com Abstract There s probably no thermal engneer

More information

Prediction of steel plate deformation due to triangle heating using the inherent strain method

Prediction of steel plate deformation due to triangle heating using the inherent strain method J Mar Sci Tecnol (005) 10:11 16 DOI 10.1007/s00773-005-00-5 Prediction of steel plate deformation due to triangle eating using te inerent strain metod Cang Doo Jang 1, Tae Hoon Kim, Dae Eun Ko 3, Tomas

More information

Prestack considerations for the migration of oblique reflectors

Prestack considerations for the migration of oblique reflectors Petack igation of obique efecto Petack conideation fo te igation of obique efecto Jon C. Bancoft and Cae P. Uenbac ABSTRACT A eo-offet tacked ection tat contain an obique efecto can be igated uccefuy by

More information

Experimental and Numerical Studies on Flocculation of Sand-Mud Suspensions

Experimental and Numerical Studies on Flocculation of Sand-Mud Suspensions MASTS Numercal & Expermental Hydrodynamc Modellng Forum Workshop Grassmarket Centre Ednburgh 9th Aprl 208 Expermental and Numercal Studes on Flocculaton of Sand-Mud Suspensons Dr Alan Cuthbertson Senor

More information

A-Priori Accuracy ff 1D Coordinates in the Network of Combined Levelling

A-Priori Accuracy ff 1D Coordinates in the Network of Combined Levelling 13 A-Po Accuacy ff 1D Coodnates n te Netwok of Combned Leveng Tuckeš, S. 1 and Guev, J. 1 Unvesty of Banja Luka, Facuty of Actectua and Cv Engneeng, Depatment of Geodesy, Vojvode Stepe Stepanova 77/3,

More information

Modeling Fracture and Cracking Resistance of Palm Nuts (Dura Variety)

Modeling Fracture and Cracking Resistance of Palm Nuts (Dura Variety) Modeling Factue and Cacking Resistance of Palm Nuts (Dua Vaiety) S.I. Manuwa Depatment of Agicultual Engineeing, Fedeal Univesity of Technology Akue, Nigeia Abstact Compessive stength of palm nuts (dua

More information

The Extension of Weight Determining Method for Weighted Zone Scoring in Information Retrieval

The Extension of Weight Determining Method for Weighted Zone Scoring in Information Retrieval Te Extenon of Wegt Determnng Metod for Wegted Zone Scorng n nformaton Retreval Sergey Sauln *, Alexander Alfmtev 2,2 Bauman Mocow State Tecncal Unverty, 2 Baumanaya t., 5-, Mocow, 05005, Ruan Federaton

More information

Structural Changes in Household Income Inequality in Korea: A New Decomposition Including Labor Supply Changes * Chulhee Lee

Structural Changes in Household Income Inequality in Korea: A New Decomposition Including Labor Supply Changes * Chulhee Lee Structural Cange in Houeold Income Inequality in Korea: A New Decompoition Including Labor Supply Cange Culee Lee Scool of Economic Seoul National Univerity San 56-1, Sillim-dong, Kwanak-gu Seoul, Korea

More information

Actinidiaceae. Actinidiaceae. Number of species, worldwide and in Europe. Analyzed species:

Actinidiaceae. Actinidiaceae. Number of species, worldwide and in Europe. Analyzed species: 7 Numbe o species, woldwide and in Euope The noth tempeate amily includes 3 genea with 355 species. Endemic species ae absent in Euope. Actinidia deliciosa is equently cultiated in Euope. Analyzed species:

More information

Practical design approach for trapezoidal modulation of a radio-frequency quadrupole

Practical design approach for trapezoidal modulation of a radio-frequency quadrupole PHYSICAL REVIEW ACCELERATORS AND BEAMS 1, 03010 (018) Practcal desgn approac for trapezodal modulaton of a rado-frequency quadrupole A. S. Plastun * and P. N. Ostroumov Faclty for Rare Isotope Beams, Mcgan

More information

Calculation of Theoretical Torque and Displacement in an Internal Gear Pump

Calculation of Theoretical Torque and Displacement in an Internal Gear Pump TECHNICAL REPORT Calculation of Teoretical Torque and Displacement in an Internal Gear Pump Y. INAGUMA Tis paper describes numerical determination of teoretical torque (ideal torque) and teoretical stroke

More information

Can Survey Bootstrap Replicates Be Used for Cross-Validation?

Can Survey Bootstrap Replicates Be Used for Cross-Validation? Secton on Survey Researc Metods JSM 2008 Can Survey Bootstrap Replcates Be Used for Cross-Valdaton? Geoff Rowe 1 and Davd Bnder 2 1 Geoff Rowe, Statstcs Canada, Tunney's Pasture, Ottawa, ON, K1A 0T6, Canada;

More information

MODELING OF VENTILATION AIR HEAT RECOVERY AND ITS IMPACT IN HIGH-PERFORMANCE GREEN BUILDINGS

MODELING OF VENTILATION AIR HEAT RECOVERY AND ITS IMPACT IN HIGH-PERFORMANCE GREEN BUILDINGS MODELING OF VENTILATION AIR HEAT RECOVERY AND ITS IMPACT IN HIGH-PERFORMANCE GREEN BUILDINGS Sa Nuenbege and Andew Lau College of Engineeing, Te Pennylvania State Univeity, Univeity Pak, PA ABSTRACT A

More information

RELIABILITY ASSESSMENT OF DEREGULATED GENERATING SYSTEMS USING RELIABILITY NETWORK EQUIVALENT AND PSEUDO-SEQUENTIAL SIMULATION TECHNIQUES

RELIABILITY ASSESSMENT OF DEREGULATED GENERATING SYSTEMS USING RELIABILITY NETWORK EQUIVALENT AND PSEUDO-SEQUENTIAL SIMULATION TECHNIQUES RELIABILITY ASSESSMET OF DEREGULATED GEERATIG SYSTEMS USIG RELIABILITY ETWORK EQUIVALET AD PSEUDO-SEQUETIAL SIMULATIO TECHIQUES Y D, Pe Wa, Lalt Goel ad Quwe Wu Scool of Electcal ad Electoc Eee aya Tecolocal

More information

Overall stability of multi-span portal sheds at right-angles to the portal spans

Overall stability of multi-span portal sheds at right-angles to the portal spans Overall stability of multi-span portal seds at rigt-angles to te portal spans SCI s Senior Manager for Standards, Carles M King, explains te approac for design of long-span portal seds. 1. Introduction

More information

ALTERNATIVE MODELS OF THE DOUBLY-FED INDUCTION MACHINE FOR POWER SYSTEM DYNAMIC ANALYSIS

ALTERNATIVE MODELS OF THE DOUBLY-FED INDUCTION MACHINE FOR POWER SYSTEM DYNAMIC ANALYSIS ALENAIVE MODEL OF HE DOUBLY-FED INDUCION MACHINE FO POWE YEM DYNAMIC ANALYI oc, F., ewaega, F. an Ec, I. Unvety of Dbg-Een, Inttte of Eectca Powe Engneeng an Atomaton, D-4757 Dbg, Gemany Abtact e pape

More information

ANALYSIS OF WORK ROLL THERMAL BEHAVIOR FOR 1450MM HOT STRIP MILL WITH GENETIC ALGORITHM

ANALYSIS OF WORK ROLL THERMAL BEHAVIOR FOR 1450MM HOT STRIP MILL WITH GENETIC ALGORITHM Journal of Teoretical and Applied Information Tecnology 3 t September 2. Vol. 43 No.2 5-2 JATIT & LLS. All rigts reserved. ANALYSIS OF WORK ROLL THERMAL BEHAVIOR FOR 45MM HOT STRIP MILL WITH GENETIC ALGORITHM

More information

High Directivity Microstrip Coupler Using Variable Width Structure

High Directivity Microstrip Coupler Using Variable Width Structure IOS Jounal of Eletonis and Communiation Engineeing IOS-JECE e-issn: 78-834,p- ISSN: 78-8735.Volume 9, Issue 4, Ve. V Jul - Aug. 04, PP 4-8.iosjounals.og Hig Dietivity Miostip Couple Using Vaiable Widt

More information

Paddy McGinty's Goat

Paddy McGinty's Goat 2 Paddy McGinty's Goat Taditional olk song a. Leslie Helett 5 q 15 4 J â ä he, sue o goat's milk, I mean to have me ill he ound it as a Bill. 9 A & # # no live all oh They â 1 Mis - te Pa - tick - ty,

More information

Concentric Dual-tubing Steam Injection: A New Model for Predicting Steam Pressure in the Annulus

Concentric Dual-tubing Steam Injection: A New Model for Predicting Steam Pressure in the Annulus Jounal of Industial Intelligent Infomation Vol., No. 4, ecembe 014 Concentic ual-g Steam Injection: A New Model fo Pedictg Steam Pessue te Hao Gu, Lsong Ceng, Sijun Huang, Suang Ai, Saolei Wei epatment

More information

Heat production by sacred lotus flowers depends on ambient temperature, not light cycle

Heat production by sacred lotus flowers depends on ambient temperature, not light cycle Jounal of Expeimental Botany, Vol. 49, No. 324, pp. 1213 1217, July 1998 Heat poduction by saced lotus flowes depends on ambient tempeatue, not ligt cycle Roge S. Seymou1,3, Paul Scultze-Motel1 and I.

More information

Analysing the energy consumption of air handling units by Hungarian and international methods

Analysing the energy consumption of air handling units by Hungarian and international methods Analysing te energy consumption of air andling units by Hungarian and international metods László Kajtár 1, Miklós Kassai 2,* 1,2 Budapest University of Tecnology and Economics (BUTE), Budapest, Hungary

More information

6 λk 0gh 3 þ 1 6 k. þ 1. z ¼ ð1 z ÞH p þ b qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi

6 λk 0gh 3 þ 1 6 k. þ 1. z ¼ ð1 z ÞH p þ b qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi Dscussons and Closures Closure to Lmt-Equlbrum Metod for enforced Sloe Stablty and Otmum Desgn of ntslde Mcrole Parameters by Deng Dong-ng, L Lang, and Zao Lan-eng DOI:.6/(SCE)GM.94-622.722 Deng Dong-ng

More information

Oil spill forecasting in the Mediterranean Sea

Oil spill forecasting in the Mediterranean Sea Ol spll forecastng n te Medterranean Sea M. De Domncs *1, N. Pnard 2, N. Fabbron 2, G. Coppn 1, G. Zodats 3 and. Lardner 3 1 Isttuto Nazonale d Geofsca e Vulcanologa, Bologna, Italy 2 Corso d Scenze Ambental,

More information

A Simple Additive Re-weighting Strategy for Improving Margins

A Simple Additive Re-weighting Strategy for Improving Margins A Simple Additive Re-weigting Stategy fo Impoving Magins abio Aiolli and Alessando Spedti Depatment of Compte Science, Coso Italia 4, Pisa, Italy e-mail: aiolli, peso @dinipiit Abstact We pesent a sample

More information

Study of microrelief influence on optical output coefficient of GaN-based LED

Study of microrelief influence on optical output coefficient of GaN-based LED Study of microrelief influence on optical output coefficient of GaN-based LED Danilina T.I., Cistoyedova I.A. and Popov A.A. Tomsk State University of Control Systems and Radioelectronics, Lenina prospect

More information

Numerical Simulation of Stresses in Thin-rimmed Spur Gears with Keyway B. Brůžek, E. Leidich

Numerical Simulation of Stresses in Thin-rimmed Spur Gears with Keyway B. Brůžek, E. Leidich Numerical Simulation of Stresses in Tin-rimmed Spur Gears wit Keyway B. Brůžek, E. Leidic Tis paper contains an investigation of te key on a stress distribution in a tin-rimmed spur gear. A stress analysis

More information

Physics Engineering PC 1431 Experiment P2 Heat Engine. Section B: Brief Theory (condensed from Serway & Jewett)

Physics Engineering PC 1431 Experiment P2 Heat Engine. Section B: Brief Theory (condensed from Serway & Jewett) Pysics Engineering PC 1431 Experiment P2 Heat Engine Section A: Introduction Te invention of steam engine played a very significant role in te Industrial Revolution from te late 1700s to early 1800s. Te

More information

Balanced Binary Trees

Balanced Binary Trees Balanced Binary Trees 1 Binary searc trees provide O(log N) searc times provided tat te nodes are distributed in a reasonably balanced manner. Unfortunately, tat is not always te case and performing a

More information

Quality and pricing of delivery services in the e-commerce sector 1

Quality and pricing of delivery services in the e-commerce sector 1 Quality and icing of delivey sevices in te e-commece secto Claie Bosenbege 2, Helmut Ceme 3, Pilie De Donde 4 and Denis Joam 5 INTRODUCTION In most uoean counties, te national univesal ostal sevice ovides

More information

Russell James Department of Scientific and Industrial Research Taupo-ldairakei, New Zealand

Russell James Department of Scientific and Industrial Research Taupo-ldairakei, New Zealand MEASUREMENT OF STEAM-TJATER FLOWS FOR THE TOTAL FLOW TURBIlJE Russell James Department of Scientific and Industrial Researc Taupo-ldairakei, New Zealand Hot water geotermal fields discarge steam-water

More information

To find the volume of a pyramid and of a cone

To find the volume of a pyramid and of a cone - Volumes of Pyramids and Cones Common Core State Standards G-GMD.A. Use volume formulas for... pyramids, cones... to solve problems. G-MG.A. Use geometric sapes, teir measures, and teir properties to

More information

RISING FAMILY INCOME INEQUALITY IN THE UNITED STATES, : IMPACTS OF CHANGING LABOR SUPPLY, WAGES, AND FAMILY STRUCTURE.

RISING FAMILY INCOME INEQUALITY IN THE UNITED STATES, : IMPACTS OF CHANGING LABOR SUPPLY, WAGES, AND FAMILY STRUCTURE. RISING FAMILY INCOME INEQUALITY IN THE UNITED STATES, 1968-2000: IMPACTS OF CHANGING LABOR SUPPLY, WAGES, AND FAMILY STRUCTURE Culee Lee Working Paper 11836 NBER WORKING PAPER SERIES RISING FAMILY INCOME

More information

Math GPS. 2. Art projects include structures made with straws this week.

Math GPS. 2. Art projects include structures made with straws this week. Number of Plants Mat GPS. List te measurements in order from greatest to least., inces,5 feet mile 75 yards Greatest. Art projects include structures made wit straws tis week. Number of Projects, p Total

More information

arxiv: v1 [q-bio.pe] 14 Sep 2016

arxiv: v1 [q-bio.pe] 14 Sep 2016 Feuay 7, 8 :4 Poceedings Tim Size: 9in x 6in axiv:69.434v [q-io.pe] 4 Sep 6 A EPIDEIOLOGICAL ODEL OF VIRAL IFECTIOS I A VARROA-IFESTED EE COLOY: THE CASE OF A EE-DEPEDET ITE POPULATIO SIZE SARA ERARDI,

More information

Inventory Decision Model of Single-echelon and Two-indenture Repairable Spares

Inventory Decision Model of Single-echelon and Two-indenture Repairable Spares Te nd nternatonal Conference on Computer Applcaton and System Modelng (0 nventory Decson Model of Sngle-ecelon and Two-ndenture Reparable Spares Lu Cenyu Naval Aeronautcal and Astronautcal Unversty Qngdao

More information

A centralized/decentralized control approach for periodic systems with application to chromatographic separation processes

A centralized/decentralized control approach for periodic systems with application to chromatographic separation processes Preprnt, 11t IFAC Symposum on Dynamcs and Control of Process Systems, ncludng Bosystems June 6-8, 16. NTNU, Trondem, Norway A centralzed/decentralzed control approac for perodc systems wt applcaton to

More information

A DEA Based MODM Model for Designing X Control Chart

A DEA Based MODM Model for Designing X Control Chart IANG Iteatoal Joal of Appled Mateatc, 38:3, IJAM_38_3_06 A A Baed MOM Model fo egg X Cotol Cat Sev Aadade, Fad Koala Abtact Cotol cat ae wdely pleeted f to etabl ad ata tattcal cotol of a poce wc lead

More information

Study of Steam Export Transients in a Combined Cycle Power Plant

Study of Steam Export Transients in a Combined Cycle Power Plant Study of Steam Export Transients in a Combined Cycle ower lant Alfonso Junquera Delgado Departamento Mecánico, Empresarios Agrupados c\ Magallanes 3 Madrid 8003 ajd@empre.es Almudena Travesí de los Santos

More information

Consumer Price Indices

Consumer Price Indices Consumer Prce ndces Metodologcal note Te Consumer Prce ndex for te wole naton (NC) s based on te consumpton of te entre present populaton. Te Harmonsed ndex of Consumer Prces (HCP), calculated accordng

More information

Coffeemar. Installation and maintenance guide. Contents: Ctra, Marcilla, Km PERALTA, Navarra SPAIN

Coffeemar. Installation and maintenance guide. Contents: Ctra, Marcilla, Km PERALTA, Navarra SPAIN Installaton and mantenance gude Coffeemar Contents: b l u e t e c 335 Caracterstcs and macne Layout Installaton revew Programmng mode Functon of te buttons on programmng mode Water nput Macne start up

More information

234 The National Strategies Secondary Mathematics exemplification: Y7

234 The National Strategies Secondary Mathematics exemplification: Y7 234 Te National Strategies Secondary Matematics exemplification: Y7 Pupils sould learn to: Deduce and use formulae to calculate lengts, perimeters, areas and volumes in 2-D and 3-D sapes As outcomes, Year

More information

Revision Topic 12: Area and Volume Area of simple shapes

Revision Topic 12: Area and Volume Area of simple shapes Revision Topic : Area and Volume Area of simple sapes You need to learn ALL of te following area formulae: Rectangle Triangle W L b Area = lengt widt Area = base eigt = ½ b Parallelogram Trapezium a b

More information

The Iskandar Regional Development Authority. would like to have the pleasure to invite you for a briefing session on

The Iskandar Regional Development Authority. would like to have the pleasure to invite you for a briefing session on Te Ikanda Regional Development Autoity would like to ave te pleaue to invite you fo a biefing eion on ISKANDAR MALAYSIA: THE NEXT REGIONAL HUB IN ASEAN (Focuing on Logitic, Manufactuing, and Buine Sevice

More information

NEW PROCESS FOR PRODUCTION OF HIGH PURITY ADN - DEVELOPMENT AND SCALE-UP. Henrik SKIFS, Helen STENMARK Eurenco Bofors AB Peter THORMÄHLEN ECAPS AB

NEW PROCESS FOR PRODUCTION OF HIGH PURITY ADN - DEVELOPMENT AND SCALE-UP. Henrik SKIFS, Helen STENMARK Eurenco Bofors AB Peter THORMÄHLEN ECAPS AB NEW PROCESS FOR PRODUCTION OF HIGH PURITY ADN - DEVELOPMENT AND SCALE-UP Henrik SKIFS, Helen STENMARK Eurenco Bofors AB Peter THORMÄHLEN ECAPS AB ADN Explosive and oxidizer with extraordinary properties

More information

4.2 Using Similar Shapes

4.2 Using Similar Shapes LESSON 4.2 Using Similar Sapes Proportionalit 7.5. Generalize te critical attributes of similarit, including ratios witin and between similar sapes. ESSENTIL QUESTION How can ou use similar sapes to find

More information

Installation the DELTABEAM Frame

Installation the DELTABEAM Frame Tese installation instructions are intended to be used togeter wit te project s erection metod statement were te instructions may be complemented. If tere are differences between te erection metod statement

More information

Welcome to Echo Lake Lodge! Start your day on Mt. Evans with a hearty breakfast served until 11 a.m.

Welcome to Echo Lake Lodge! Start your day on Mt. Evans with a hearty breakfast served until 11 a.m. Welcome to Echo Lake Lodge! Start your day on Mt. Evans with a hearty breakfast served until 11 a.m. Denver Scramble or Omelet Ham, green peppers, onions, mushrooms, tomatoes and cheddar cheese served

More information

Reinforcement in concrete piles embedded in sand

Reinforcement in concrete piles embedded in sand International Journal of te Pyical Science Vol. 5(15), pp. 2259-2271, 18 November, 2010 Available online at ttp://www.academicjournal.org/ijps ISSN 1992-1950 2010 Academic Journal Full Lengt Reearc Paper

More information

CALIBRATION ALGORITHM FOR CURRENT-OUTPUT R-2R LADDERS

CALIBRATION ALGORITHM FOR CURRENT-OUTPUT R-2R LADDERS X MEKO World Congress Measurement - upports cence - mproves Tecnology - Protects Envronment... and Provdes Employment - ow and n te Future enna, AUTA, 000, eptember 5-8 CALBATO ALGOTHM FO CUET-PUT - LADDE

More information

青藜苑教育 Example : Find te area of te following trapezium. 7cm 4.5cm cm To find te area, you add te parallel sides 7

青藜苑教育 Example : Find te area of te following trapezium. 7cm 4.5cm cm To find te area, you add te parallel sides 7 青藜苑教育 www.tetopedu.com 00-6895997 3095457 Area of simple sapes Revision Topic : Area and Volume You need to learn ALL of te following area formulae: Rectangle Triangle W L Area = lengt widt Area = b base

More information

EECS 556, 2003, Noll Exam #1: 4

EECS 556, 2003, Noll Exam #1: 4 EECS 556 003 o Exa #: 4 3. Fite esig: a. Si tae te oute ouct *. b. Use δ [ δ ]'*[ δ ]. c. Hee we foow te fo of fequec saig escibe i sectio 4.3. of te text. We sae at te x 7 x7 ocatios a ivese DFT to get

More information

Spatiotemporal Analysis of Marriage and Marital Fertility in Japan: Using Geographically Weighted Regression

Spatiotemporal Analysis of Marriage and Marital Fertility in Japan: Using Geographically Weighted Regression Spatotemporal Analyss of Marrage and Martal ertlty n Japan: Usng Geographcally Weghted Regresson 1980-2010 Kenj Kamata (Natonal Insttute of Populaton and Socal Securty Research) Abstract (125) Ths study

More information

The Policy Performance of NFSF and Slippage in Futures Markets

The Policy Performance of NFSF and Slippage in Futures Markets Po-Ka Huang The Polcy Performance of NFSF and Slppage n Futures Markets (Receved Apr 28, 2011; Frst Revson Jun 8, 2012; Second Revson Dec 12, 2013; Accepted Jan 16, 2014) Introducton * Government nterventons

More information

LOUISVILLE PECAN COMPANY

LOUISVILLE PECAN COMPANY 2016 LOUISVILLE PECAN COMPANY Greetings from the Henson Family Enjoy We d like to thank our friends and customers for their loyalty and support throughout the years. We look forward to hearing from you

More information

Ice Age Special Pastes.

Ice Age Special Pastes. 1 Ice Age Special Pastes. Ice Age paste is a concentration substance extract from natural fruits, excellent for ice and bakery making. Our pastes can be replaced or used together with real fruits to enhance

More information

University of Maribor. Faculty of Electrical Engineering and Computer Science. Aleš Holobar

University of Maribor. Faculty of Electrical Engineering and Computer Science. Aleš Holobar Uvety of Mabo Faculty of Electcal Eee ad Copute Scece Aleš Holoba BLIND DECOMPOSIION OF CONVOLUIVE MIXURES OF CLOSE-O-ORHOGONAL PULSE SOURCES APPLIED O SURFACE ELECROMYOGRAMS SLEPA DEKOMPOZICIJA KONVOLUIVNIH

More information

Equation of State for the Lennard-Jones Truncated and Shifted Model Fluid. Bochum, Germany. Strasse 100, D Paderborn, Germany

Equation of State for the Lennard-Jones Truncated and Shifted Model Fluid. Bochum, Germany. Strasse 100, D Paderborn, Germany Equation of State fo the Lennad-Jones Tuncated and Shifted Model Fluid Monika Thol 1, Gabo Rutkai 2, Roland Span 1*, Jadan Vabec 2, Rolf Lustig 3 1 Themodynamics, Ruh-Univesitaet Bochum, Univesitaetsstasse

More information

Ph.D. Thesis - Abstract

Ph.D. Thesis - Abstract Inveteşte în oameni! FONDUL SOCIAL UROPAN Pogamul Opeaţional Sectoial Dezvoltaea Reuelo Umane 7 1 ng. Maiu-Citian SUCIU P.D. Tei - Atact CONTRIBUTIONS TO TH DVLOPMNT OF A NW ACTIV PARALLL ROBOT FOR MINIMALLY

More information

Homer and Rhonda Henson

Homer and Rhonda Henson 2013 LOUISVILLE PECAN COMPANY Greetings from the Henson Family Enjoy We d like to thank our friends and customers for their loyalty and support throughout the years. We look forward to hearing from you

More information

Thermal Hydraulic Analysis of 49-2 Swimming Pool Reactor with a. Passive Siphon Breaker

Thermal Hydraulic Analysis of 49-2 Swimming Pool Reactor with a. Passive Siphon Breaker Thermal Hydraulic Analysis of 49-2 Swimming Pool Reactor with a Passive Siphon Breaker Zhiting Yue 1, Songtao Ji 1 1) China Institute of Atomic Energy(CIAE), Beijing 102413, China Corresponding author:

More information

DESIGN OF MACHINES AND STRUCTURES

DESIGN OF MACHINES AND STRUCTURES HU ISSN 785-689 n rnt HU ISSN 064-75 onlne DESIGN OF MACHINES AND SRUCURES A Publcaton of te Unverty of Mkolc Volume 5, Number (05) Mkolc Unverty Pre 05 EDIORIAL BOARD Á. DÖBRÖCZÖNI Inttute of Macne and

More information

Eugene O'Neill

Eugene O'Neill Euge O'Neill 1888-1953 te ead squ for Buo ull mo i n te trades: Te old ooke I lay te bow sprit facing tern wit te water foam me: Te mts wit every sail wite in te mo ligt towering ig above me: I became

More information

Effect of user fee on patient s welfare and efficiency in a two tier health care market

Effect of user fee on patient s welfare and efficiency in a two tier health care market Vol., No.9, 1110-1119 (010) doi:10.436/ealt.010.9164 Healt Effect of uer fee on atient welfare and efficiency in a two tier ealt care market Eugenia Amorfu Kwame Nkruma Univerity of Science and Tecnology,

More information

Math Practice Use a Formula

Math Practice Use a Formula 9.4 Volumes of Prisms How can you find te volume of a prism? ACTIVITY: Pearls in a Treasure Cest Work wit a partner. A treasure cest is filled wit valuable pearls. Eac pearl is about centimeter in diameter

More information

EVALUATION OF THE CHEMICO-OSMOTIC BEHAVIOUR OF A NATURAL BENTONITE

EVALUATION OF THE CHEMICO-OSMOTIC BEHAVIOUR OF A NATURAL BENTONITE EVALUATION OF THE CHEMICO-OSMOTIC BEHAVIOUR OF A NATURAL BENTONITE Andrea Dominijanni POLITECNICO DI TORINO, Dipartimento di Ingegneria per l Ambiente, il Territorio e le Geotecnologie. C.o Duca Degli

More information

MORNING FARE EARLY RISER THE CLASSIC CONTINENTAL COLLEGE OF DUPAGE BREAKFAST BUFFET. Pastry Basket, Assorted Juice & Coffee

MORNING FARE EARLY RISER THE CLASSIC CONTINENTAL COLLEGE OF DUPAGE BREAKFAST BUFFET. Pastry Basket, Assorted Juice & Coffee MORNING FARE n n er or e e er e 12 EARLY RISER $.29 per per on Pastry Basket, Assorted Juice & Coffee THE CLASSIC CONTINENTAL $7. 9 per per on Seasonal Cubed Fresh Fruit Tray tr B t Baker s Choice of Two:

More information

SLOPE STABILITY ANALYSIS IN SEISMIC AREAS BY A RELIABILITY APPROACH

SLOPE STABILITY ANALYSIS IN SEISMIC AREAS BY A RELIABILITY APPROACH 4 t Internatonal Conferene on Eartquake Geotenal Engneerng June 25-28, 2007 Paper No. 25 SLOPE STABILITY ANALYSIS IN SEISMIC AREAS BY A RELIABILITY APPROACH Dala YOUSSE ABDEL MASSIH, Abdul-Hamd SOUBRA

More information

DIRECT AND INDIRECT LOW TEMPERATURE GEOTHERMAL DISTRICT HEATING SYSTEMS

DIRECT AND INDIRECT LOW TEMPERATURE GEOTHERMAL DISTRICT HEATING SYSTEMS DIRECT AND INDIRECT LOW TEMPERATURE GEOTHERMAL DISTRICT HEATING SYSTEMS Cuansan Dai and Jun Liang Tianjin Geoteal Reseac and Taining Cente, Tianjin Univesity, 30007, Tianjin, P.R.Cina Key Wods: low teeatue

More information

20.1 Heights and distances

20.1 Heights and distances 20 Heigts an istances INTROUTION In tis capter, we will learn te practical use of trigonometry in our ay-to-ay life. We will see ow trigonometry is use for fining te eigts an istances of various objects,

More information

The coin-through-the-rubber trick: an elastically stabilized invagination

The coin-through-the-rubber trick: an elastically stabilized invagination Te oin-toug-te-ubbe tik: an elastially stabilized invagination Fanlong Meng Institute of Teoetial Pysis, Cinese Aademy of Sienes Pone: 86-15001345869 flm@itp.a.n Masao Doi Cente fo Soft Matte Pysis and

More information

2 2D 2F. 1pc for each 20 m of wire. h (min. 45) h (min. 45) 3AC. see details J, E

2 2D 2F. 1pc for each 20 m of wire. h (min. 45) h (min. 45) 3AC. see details J, E TEXTILE AIR DIFFUSERS - - INSTRUCTIONS AIR FOR MOUNTING 1 1D 1F see details A, B, C 2 2D 2F see details A, B, C (min. 32) min. every 0 mm 1pc for eac 20 m of wire min. every 0 mm 1pc for eac 20 m of wire

More information

SUBJECT Temecula Valley Wine Country Community Plan GPA01077 Ord Amd No Charge your time to these case numbers

SUBJECT Temecula Valley Wine Country Community Plan GPA01077 Ord Amd No Charge your time to these case numbers RVERSDE COUNTY PLANNNG DEPARTMENT Caolyn Syms Luna Diecto DATE August 29 203 TO Clek of the Boad of Supevisos FROM Planning Depatment Riveside Office SUBJECT Temecula Valley Wine County Community Plan

More information

Christmas Shopping Blues

Christmas Shopping Blues 35027773 SSA, Opt. Trumpet U.S. $2.50 Chrstmas Shoppng Blues Words and Musc by RUTH MORRS GRAY P R O P E R ; Avalable: 35027773 ^ 35027774 SSA, Opt. Trumpet StudoTrax CD Theatre Anr?>sfer Shawnee Press

More information

A Note on Software Protection and Social Welfare

A Note on Software Protection and Social Welfare A Note on Software Protection and Social Welfare Yi Sin Lin, P D Candidate, Deartment of Tecnology Management, Cung Hua Univerity, Hincu, Taiwan Dr Yao Hien Lee, Aociate Profeor, Deartment of Finance,

More information

HCR OF HEAT PUMP ROOM AIR CONDITIONER IN CHINA. Beijing , China

HCR OF HEAT PUMP ROOM AIR CONDITIONER IN CHINA. Beijing , China OF HEA PUMP ROOM AIR CONDIIONER IN CHINA Baolong Wang 1, Wenxing Si 1, uan Cen 1 1 Department of Building Sciencesingua University, Beijing 100084, Cina ABSRAC Definition of eating/cooling capacity ratio

More information

Status, Caste, and the Time Allocation of Women in Rural India

Status, Caste, and the Time Allocation of Women in Rural India Status, Caste, and te Time Allocation of Women in Rual India By Mukes Esaan, Baat Ramasami, and Wilima Wada * June 9 ABSTRACT We ague tat omen may be disinclined to paticipate in maket ok in te ual aeas

More information

NN-A883 / NN-A873 / NN-A813. Operating Instructions Bedienungsanleitung Gebruiksaanwijzing Mode d emploi Manuale di istruzioni Instrukcja obsługi

NN-A883 / NN-A873 / NN-A813. Operating Instructions Bedienungsanleitung Gebruiksaanwijzing Mode d emploi Manuale di istruzioni Instrukcja obsługi Operating Intruction Bedienunganleitung Gebruikaanwijzing Mode d emploi Manuale di itruzioni Intrukcja obługi Deutc Nederland Microwave/Grill/Convection Oven Mikrowellengerät mit Grill / Heißluft De Panaonic

More information

Inclined Plane Problems

Inclined Plane Problems Inclined Plane Proble Lyzinki Phyic riction puh/pull perp Intead o an x-y coordinate yte, inclined plane proble ue a coordinate yte. There i a Geoetric explanation o the why the angle aboe are both theta..

More information