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by: Darian Metz


Darian Metz
GPA 3.87

Graig Spolek

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Graig Spolek
Class Notes
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This 78 page Class Notes was uploaded by Darian Metz on Wednesday September 2, 2015. The Class Notes belongs to ME 323 at Portland State University taught by Graig Spolek in Fall. Since its upload, it has received 24 views. For similar materials see /class/168305/me-323-portland-state-university in Mechanical Engineering at Portland State University.

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Date Created: 09/02/15
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ow allows l calculation of the total heat transfer From that the overall heat transfer coefficient U will be determined Hot In THi 210 F Cold Out quotquot Taquot 145 F ColdIn TCi70F QC m CF ATC mpV i HotOut For the cold water THO 154 F T T T c 2 C0 702145 112F From steam tables for saturated water at 112 F 619 lbmft 099 Btulbm lbm gay ft3 lbr mC pV 619 3175 minj 75gal 144 min Solving for the total heat transfer Q for the cold water lbr Btu o Btu QC m CF ATS 144 min 099 lbm OF 145 70 F 10700 Am For the LMTD analysis QUAFLMTD or 2 Q AFLMTD For a tube and shell heat exchanger with two tube passes with T T T T R H1 H0 and P C0 C1 Too Tc Tm Tcz sz 2075 145 70 z 2053 210 70 gives for the tube and shell chart F 087 By de nition 1n Tm TC0 TH0 T0 MD 2 In 210 145 154 70 74lF So 100 ff i087741F Ar ftz F Part b When fouling occurs with a fouling coefficient 0001 find the total heat transfer and the outlet temperature of both streams Fouling will reduce the value of U which will decrease the total heat transfer Hence the outlet temperatures of both streams will change so only the inlet temperatures are known In that case the s NTU method is suggested 1 1 l l Btu UM Um RM 996 0001 906 y F The total heat transferred is predicted by the equation Q g CminTH1 T01 Cmin is the lesser of Cc or CH Cc can be determined from the data in part a lbr Btu Btu CC me 144 minj099 lbm F 143 Am CH must also be calculated This can be done from the data in part a 10700Btu CH Q mn 1913inF Tm 4H 210 154F So Cmin is Cc Next the ratio CR is calculated C CR quot quot 075 me 191 By definition 906 3r F 100 f NTUg 106 min Btu 143 Am F From the chart for one shell and two tube passes the effectiveness can be read 8 050 Now the total heat transfer can be calculated Q g Cm Tm To 05 143 3in F 210 70F 10000 Etymin So the fouling causes a drop in the total heat transfer from 10700 to 10000 Btumin or a 7 drop in performance The outlet temperature of each stream can now be calculated Q 100003n TC TC 70F mm 140F 0 C 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orfds te r04 drx QV ifs 0 0960s same rofvvhmx 0 ow oiap w I k Pb t N021 VJ damdlfm MEmSnmplsznhhnH Evzpun le mulling welhuh dqnm39nn Canada an apenpsn afwatex wah a steady mum uf m blawmg aver The water sleace The pm ufwaur 15 in ated 5a um me mayheezbemgmsreuems a rm Lhzwat xsbycanvemm mm was Wat115 canvemvely mpantedfmm The water sleace The latmt has uf evspanum 15 m camchan Wemmpeume mus decrease m m mm palms AT accammadatesthz mpm39aum T1115 15 emeawemmb depresam Mans me magnlude armsumpeume depresaar Gwen me fv awmg seam Salve far The esmeneve caef uem h and The mass transfer cae cxznl mg aw acmss a nl pme mp sleace ufwatzr men mlve q andset equalta a men nd T withmal and em salmmn Tremngwnl wpm as anxdeal gas men R T 5a The partial denslyafwnlexwpm cmbe delen39mnzdfmm me me pzesme PW mam umpexmxe T Anhz water Macs wme mm eemesm me 49 F Ta ndthz cmvecuve es ems Nuk NufRePr 3 h L NumfReSc 3 hm Note Num is also called the Sherwood number Sh Numerical solution Properties of air water k ID I Pr I v 1561039 mZs 2610393 WmK 02610394 mZs 072 10 M V L g 643 105 Re 7 v ll56 quot 10395 lmZs Which puts the boundary layer primarily laminar Using the laminar boundary layer correlation Nu 0664 Re 13 066464310 5 072 477 3 W hNuk 4772610 nK 124W L lm 39 nzK For convective mass transfer the Schmidt number Sc is de ned as v 156105m7 Sc 2 7 23 060 D 02610 4m1 and by analogy between heat transfer and mass transfer Sh 0664 Re Sc 066464310 5 060 448 Notice that this is very close to the value for the Nusselt number Solving for hm Z 448 026 10quotm hm 7ShD g 00117 V L lm S At steady state qmnv qzvap or hTw TVi lhfg hm wv7pwvoohfg P Usin 7 in this e uation g P R T q hToo T MT Pva Pwv ohfg We now have a nonlinear equation in T which is confounded by the fact that both PWV and hfg are both strong lnctions of T Reasonable approximations for those lnctions are PWV2337eXp 6789 i 503lln i TisinKPinNm2 29315 T 29315 hfg 2501 236 T T is in C hfg in kJkg Solving for T by trial amp error yields T 286K 13C 42 latinnal lrand 3359 MESZB IZO I i JenIL E FMMdev s 147 Dance 9 HWJmemU W 0L m Hm o ma moi PM Spa399 quot 39 301 r e39lmpt as 1 5 00 gm em 39 5quot 6 Cole Wan quot VIEw 392 ijfsaa lOlC fluiaps 80W 2J9 rlo 971 g aft MLij D We I EffLara thb s r CMaVav p 7393fe v 10 Viiaux flui 39 140 FPOWWNJ ii 7 quot SHE SEY 42381 50 ET G 2492 005 EETS th Brand 4243 msflsn 9 auder Wm 1 H M 1d 4r 7710 ATxm 7231 PM Nree MMle P ewum A 42 I 42452 100 SHEEFS EVEEAS 5 SQUARES EASE 5 SDUAEES 38 50 SHEETS EYEEASE 5 SQUARES 42369 200 SHEETS EVE Uatinnal lrand Tube mantel Emma 74 l rpfryorvwavve 04 HX395 I gift 39 Mumb4r J Pabes 12 rppbes W94quot d a yw 2 v wlumawe 946 mm W mg doemkw M 62 M A TM73 Cl 1 040094 0 H1 T Tc m I w 375 ARES ARES ES vEJtS EA a 4mm 50 SHEET vs o 424a mo SHEETS EYE National Bland 42399 200 swans EVE L 4 l L gt X M 39 EW D gthhA 1 hut COV L Abes AM k A La Quizo AT gr A0 A 0r QCA 5 AT I 1 D V D if hoplhwr u 0 t V 0 quot Or I 7 L39 n TI r39a 0 Vquot m ihiMs x Y Vr V a Hawm Lake A z 14 Wmcap my 69 hi 1A0 Dram NM IE P3 0 ew eowe rvj ARES 42382 100 SHEETS EYE EASE39 lt 5 SQUARES 4266 50 SHEETS EVEwEASE lt 5 SDU 423389 200 SHEEVS EYEEASE lt 5 SQUARES I National Lquot luuul Foodsx Pm L HY a F V39I fdiuce3 Pergrwxmce I 39 l Mahala peot IMO 1200 E wl39 L63 v x 75050quot I SeaKay Fatiguep T 7 COL J J M 21 MC W guess M 1 c9an r mil 2 90091 539 9quot l w Mg QM 51 253 mm MF 73 7670 M 444 A I wswe Hi 0391 7070 2 PUM MaCnl Mce cLumQuje Desi tgkr acces oaul t ng 0fal lra cowx v 7 Erlewl 39o Me 4933 1L0 can 0 E E lt 5 SQUARES SO SHEEI S EY AS SHEETS EYEElks S SQUARES ETS EYEEASE S UAHES azam 50 42382 100 42699 200 SHE 395 National Brand FCws avmm 0 L CJltI J wxw w Cowleyec39ve Howkos Ter h da hmxkOP 601 q q Pfgws 4D m fwwase wag 1 J wa mgr MBOL 7 ouem surf 7o Kquot gt A A FI A egpf a c 4 W7 I MJ f amplquot 5 b 7 IC M c eu1 ea 7 Q 1 Thu Tax 4305 B JB 3quot PIS 42381 50 SHEETS EYEEASE 5 SQUARES SQUARES 2 382 100 SHEETS EYEEABE 6 42489 200 SHEETS NEW A 5 SQUARES latltml o11139qu C2 HAQTWTA 5 39 D 9102 W a Walgr 1LTICO F a M CF ATBah ATUJ W LWQ 3 mm th 0 Ms quot 9 r S L f Z A r C V 1 CWOAH 39 0 20 O 53 c gtquot a O quot a 613 lmw 6 I gtZO lt3 py5 Co ZeML D ZgO a 3E Lg i 3L0 V 13 3992 39 he D 39 7quot 3 Z TWPquot 739 m 005 c 0339 I s D S EVEAEASE39 A 5 SQUARES EETS EYEEASE 5 SQUARES 42381 50 SHEEY S EYEEASE 5 SQUARES 12689 200 SHEETS 42362 1 00 SH r llatinnalalrand Nu C39 quotng 0 gtb2oao039sg lm 39 2 w L 39 A4974 NH mac NM 6 239 TEL 53 r I 37 4a 3 Z kr zF Miler gnu 39 C r 39 H l aj 5 0 a 1 f r f 1 AQLWJ9LLEL ii hJo s 15 kis ww A aiX n 1 Mn 393 f l yg ATM it f 0 l 5 39 a 5 2 912 tilQE39CQ i 920 I e v 433x0 b Hzs 39 Lamim WPNWMO 0497M 34 quot AU 1 40amp 4 f3 39 D E 03an N14 4390 M 40D39 SRI234quot T E M a M A N O o Nye L P A 33 k 23 wwgw mm i2 4 M I 23 1 J39 0 39 Mo D m 382 h 34 a ISC 39I 1 Co 239 SHEEYS EYEEASE 5 SWMES EA SHEETS EYE SE v 5 SOUA 4235 Ilatinnalalrand 232 33 MESZE xso l rzwewrzm wWavmawom Phier emevJ bq w anc mobw s EMJW Ist I L2p1wjnw7 wt h39w 1 4 Z WM J 7414 r x39 K lt E 4 x V 39 gt v vv 39 quot cm ITTOVJCJH V quot A p bnc JAMquot X 4 8 gs n yvx 4243 50 a quot432 mu quotH39i n l Brand 2333 200 SH YSE EAS E Awfl A Z 03 M W I n 2 7900 97 g r s I d 6012 Mje E I21 pig InkoPJ 4353wa JC 0 Q W a In WA39 as ght PWS JW Pr J reogujer Or A We As O L A 005 C0 3 a w L MawK 9vquot 90a03 39C0 33 1 Q3 m 25 9403 W 0 1 A214 In I 95 quot 3 Y L K Hf 0 3W zmyO VJO 39 15 Aidas A 3 In Ammo 20 W 42381 50 SHEETS EYEEASP 5 SQUARES gt352 00 SHEETS EYEEASE39 A 5 SQUARES 52385 200 SHEETS EVEEASE 5 SQUARES 5 National Brand I Proge p fete a I M 0 P n9 3 90ij swim a a E i a 9dwx v Pampers h I Le 39ltW W Ff LWMVQ bm a FOLVQAR LAQ A hp f V 5 U Que gig kes gugte 39OosQ cos FULI I AeSA 22 QMJM rm aOSQ e xr r 3 3963 g j g H421 0 4238 50 SHEEYS EYEEASE 5 SQUARES 0 2332 00 swam EYEEASE s SQUARES National Blind 2239 00 SHEEI39S EVEEASE s SQUARES l I ZeotfmgiH 29J ML t AF L anMJv39Gn 5 gay WA malosuv J ar pice c Mu d 9W gnf am5 flew 4o ad 53 I TQM 7 QMFLS Z Iu t y e w 3 5MJUMlt a a gmdnw raww sg a KVWMW SW66 5 SQUARES EVEEns 5 SQUARES gc 42389 200 SHEEYS EYEgtEASE39 5 SQUARES 42381 50 SHEETS 42382 I00 SHEETS EYE EAS af National gllrzmd pm FF somme a quot V rH 0 I 39 piwf F s 93911 F32F3l rmng F3 3Z 5 F39s l 39 z Zeal39Pr cJv A 31 439 P393 p a 0 3 4mm 50 Ilatinnal nrand 2222 323 PM sz upwa qCIv B 2 3 3 1 EkaOvlZ A 3 F32 3 a g wr s39m39quot RugM QI i3 Fi 1amp7 8 sz I A m PMs z 43 F3 MSW MFR ta 4 H sgt7 0 74 F ez 1 7102Q 03By1g 392 a UAHES I SHE VElt 5 SD 369 200 SHEETS EYEEASE39 39 5 SQUARES 4238 50 SHEETS EVEEASP 5 SQUARES 382 DO ETS E EASE IiIlanimmlwnrami 2 glacklpo ampAklo39em 1 absodos a FwdLA roaptquota0 w 2 lawman was WW WW My 2 mum em M awwwb MCL 5 54 91 Ea EiCRV13 E T 7 J RWMCR K 299964 MM Wifns KmJ ma T N WK39 E m f139w5 5 Wv WT 604 W dov WA1L Mewpxsa wI WT TngaqL d c 7 IZMQF lo9L L rw BOHZIWA L6 Eta quotl q T 9931750quot TSMM k 3ma x wa ML WW3 and WW 5 33 233 um 424m so swans EV a A2392 ma sHEErs EVE Natlanal 39l l d 42499 zoosuem EVE Eb g 507341 x120 Ea EMBsstew La RES ARES ARES lt 42351 50 swears EVEEASE 0 mm mo SHEETS EVEEASEL UIHWMI IIIquot 2393 200 SHEETS EVEEns l I l on Qwea a t d w 5mm T3 Ex T3 m wan w 4 Hamel P I 7 a L 9W s MJ9 00 T Emfs sNu Hi 1 9H 1 FAG War Y 0 MJQFV S j jg Q MM 0K PI Wwww S 6 d r L InsJNQW5 NO Mo sz lags br oa5 caQ 366 C a eld Pad A 421 42 389 200 SHEEYS EYEE 5E A 5 SQUARES National G nrzuul ZeP eypc J f Wmebn k Awfww or5 y smw r famp 08LQI akgarks IQ Dt Cste PqJJ vx ppiv39o t ms 2 Ab ohP L s73L 0g Cj s 6 WKwg Aha Vatu LOW QV 0IJQOP r5 Traw zmt s hu Al A F ravxs 39 15w er Orva uc 3injlv waw w3W01efww H Uv v usvgtall d Xx L QII i r N UsSNAdngLe orlr m U1 g m6 3st J WV W l fth u ltsiww s V m3ka1 lt 3 JFK wL wa y aw n5le kaOJJQ WM wwJOQpg 9amp1 5lt ve2 QgLJA vgd mi 955 4 d UC r 0 451 mm W u a m 3 H PXth i w 397 National Brand 124389 ZDO SHEETS EVE Design a heating system for a small factory in Portland OR This problem will be a multipart problem which will require making reasonable assumptions making engineering decisions and then checking the reasonableness of the design Part 1 Determine the heating load on the building In this first part estimate the maximum amount of heat that the building will require to maintain the inside temperature at 20 C in the winter A subsequent part of the problem will ask you to design a heater to generate enough thermal energy to satisfy this heat loss Use the included schematic drawings of the building and the construction details for the ceiling and walls As a starting point use the following information Factor Value Comments Outside Air 5 C Based on ASHRAE weather data for Portland Temperature Airport 97 of the time the temperature is 2 this temperature Infiltration 02 ACH ACH 2 Air Change per Hour which is the volume of air leakage from the outside through doors and windows that must heated Inside Convective Table 11 Free convection for air Coefficient 1ampD Outside Convective Table 11 Forced convection for air Coefficient 1ampD Deliverables 1 Initial estimate of total heat loss 2 Table of major surfaces e g wall windows with total area Rvalue and Q for each 3 Discussion of areas of high heat loss with suggestions to improve the thermal performance References 1 ASHRAE Handbook of Fundamentals 2 Fundamentals of Heat and Mass Transfer lncropera amp DeWitt 15 cm thick plwmd 4 cm thick pine stud 2 cm gypsum plaster Corrugated sheet metal gypsum plaster Wall cross section r14 fm Fiberglass I insulation 40 cm 12 cm hardboard siding 2 cm 4 cm thick pine stud g wi Loaf quotpawl A 5 Wolm 440w V I V Jg o pl v QMCxt cfujs M 4 M 0 wllm l A A 00 WM L L Lu Doors r5wme a ownMS 39 ZoeC arm 551434 2L8 b aw arm y quot wrmjaws l et 5140 11 sI AALL D vML W mm m dieamam j 019amll hampg sl C39oors bade U rth 661MpnZ MS i 7N 20v 299 M1 39 W dws 4 Albanian Z M1 waH339 ZQ OMK7 SW Z M 2 quot 2 m4msdw 3 M1 Uome ZKM 6 mm zgm l v i H I 47 I 39Jys 7 p p0 fix723049 007 77709 77 7773147 i 1 7 w 7 7 i 71 I 77g7 77i 7 7 7 717115 J7J47777 1727 77 7 77 77 777 M27m s 77 Azllu 7M 77LI5030 39 E7T04J97HJAQQQW 7 i A w 39i an 77 7 I 7 I I hJ quot4 I 741 7 Vaif 5 moi 7 014 am 7 77 071177 777 570 7 VH2 7 7739729207577377 77 175quot5 f9 LZL3 i quota 7 7 7 7 7 019 5 F7776 Ilewo ffKB 7 7 7 77 7 77 7 7v 7777 77 77 77 Iw27wQaZ 107L0o 125033o4 7 Z lt 7 12May re 37 7 7 7 7 7 Wr aw7777 CLZJA77I S777777 ho 00 2 W 2 3lt o Ia 117 77e7777777 77772gt 7 717 735 7 7 7EI 774707y 7I7mHvJm mQAr we M 711730 W77 7 19237W7777 7 777176750799 7 7777 0393 7 7 7 7 7 7 77 777 777q77 777 A 7 777777 77 77 7 5479072145 2 my 77 7771719 0735727ch 365039 rqeq7em OOSOW C9 4403


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