年美赛A题H奖58265390

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1、umye build two si modls fote two rblm respetively: n is to show h disritiof at across e outer ede of the p for difrent shas, ectaguar, rculr and transiionspe; anohr i toseect the best shapefor h pan uder teodiionfte optimizatiof ominations of aml mberfan i theven nthe maximl ven eat distibuioo te ha

2、 forte pan.We ir use finitediffeenceethdto anlyzehe condtn raditi problnd derive he ea distribuin f thereguarad h cila. In terms of our iohrmal curve the recangulr pa,we ayze hat istributi of rundd retngle thoroughly,usig finit-elemet method e thenus oninear ineger prgramming methd o solve tmxim num

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5、m esrptio32. Melfor hetisributn32。1roblem nalyis32。Assumption42。3 ftion42.4 he moe43 Resul ohtistibution7.1Basireults732 Analysis3.3 Anayss f h transtion shapeouned rectanlar4Modet selet the best shape114.1 Assptions114。efiitions1143 h mdel125 Compaision dDegreof fiting196 Senitivty7 Strengh/wkese18

6、Ccsion19 Advertiseet for new Browie Magazine2310 Rerencs2Itodutin1.1 rownie panThe Bwnie P ssed t make ownieswhich area kind of olar cakes n Americ.It usualyamyltics in it ndis mad of etlo ther mriastocondut heatwellts tiviall99 inchor 93 ich nsze。 ne exampleof thecncrehae f rownie pan is hown iFgr1

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8、hich mot cke akers woud not like to see. o gl to dres h blem。1.3 Pobm DscptoFrty, were askeo dve model o sow te distributio of htcros te out edg of a pa fo diffeenshps, frm rectagula tocircularilung terasitio hape; hen e wilbuil ate moe to select he bstshap f tha folowithe coniti o th optztion of co

9、binai mxmalnumr fpans n theven and axmal en distriuion f ea r t pn.2. odl fo heat isriuion2. Prbem anayiser we use a finie diffrence oel to ilustrte the dstriutio o hea, ad it has been exensieyused i molng fo crcteristicabilit o hane irrgar geomries an boay conditios, spial an teporal poerts variati

10、os Shixiong Liu, Mika Fukuoka, Noboru Sakai, A finite element model for simulating temperature distributions in rotating food during microwave heating, Journal of food engineering, Volume 115, issue 1, March 2013 Page 49-62 n lterature 1, smples wtha etangur geomr fomare ifficlttheat unifrmy, claly

11、thcorners anddges h thicrowave radiation in the oven a be cudlytut o as impingng on th sample om ll, whic we generlly acknowle.But tey emhasiz rotatonGenel, wh akiin hen, e bsrbhetby three ays: theml raditon ote pipe inthe ovn, heat cduonof than, andai conveon inhven。 nseri ththe influnce ofconecion

12、is smal, wassume it neglgibe。So wenytake thermalradiionand cndcon into ccunt。Th heat is trferred from h utsd to h inde while wter in he k is n thecontrar. The emerturousie ncrasemoe rpily tan ta inside And t onat area beeen the pan nd theotse cke s arger than thatbetwen thea and thensd cake, whih illutratwhy akes i th orer get vercoked asil。2。2 Assumptiosl e tketh pan and ake as blac oy, s the bsorin f et in

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