Question 1. Cold air standard assumptions:
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1 Qestn (a A 4-stke 8-yde 3. lte tb-aged spak gntn ang engne as a mpessn at 0, and s n at 6000 pm. e a dawn nt te engne bee mpessn as a tempeate 5 C, and a pesse kpa. e tempeate te a at te end te expansn stke s 800 C. Emplyng an Ott yle analyss, and assmng ld a standad assmptns, detemne: ( te gest tempeate aeed dng te yle, [5 maks] ( te pwe tpt te engne. [3 maks] Cld a standad assmptns: k R R a p kJ/kg J/mle.K 87J/kg.K C A smple deal Baytn yle wt a as te wkng ld as a pesse at 6. e a entes te mpess at 300 K, and te tbne at 400 K. Antng te aatn spe eats wt tempeate, detemne: ( te spe entalpy te a at te mpess ext, [0 maks] ( te at mpess wk t tbne wk (bak wk at. [ maks] Page 8 ME08 Appled emdynams Exam - May 006.d
2 Qestn (a A 700 MW steam pwe plant emplyng te Rankne yle peates between 0 kpa and 7.5 MPa pesse. e satated wate-steam mxte as a qalty 0.80 n ext m te tbne. Detemne: ( te mass lw ate steam tg te yle, [4 maks] ( te ate eat tanse t te wate and steam n te ble, [6 maks] ( te temal eeny te yle. [ maks] A 4-stke 4-yde desel engne was tested at a speed 3000 pm. e analyss te dy exast pdts by lme was nd t be.5 % CO, 0.3 % CO, 5.0 % O, and 83. % N. ee was n nbnt ydgen abn n te exast. Detemne: ( te a/el at te mxte, [ maks] ( te peentages abn and ydgen n te el by mass. [6 maks] Relate atm mass (M(O 6, M(N 4, M(C, M(H Page 8 ME08 Appled emdynams Exam - May 006.d
3 Qestn 3 (a A mxte ang a lmet mpstn 0% H, 3.3% O, and 66.7% N s ntaned n a eat essel lme 30 ltes at a pesse ba, and a tempeate 5 C. Wen te mxte s explded by a spak, detemne: ( te lmet mpstn te pdts, [0 maks] ( te adabat lame tempeate (.e. te nal tempeate te pdts, assmng sentp mbstn, and n pdt dssatn. [4 maks] Relate atm mass (M(O 6, M(N 4, M(H. Intenal Enegy Cmbstn H at 5 C s 40 kj/mle. ake ales as : H O N H O (kj/mle.k A blk lats emplys a ap mpessn egeatn yle eat pmp eatng dng te wnte mnts. e maxmm eatng eqement te ente blk s 50 kw. e eat pmp emplys egeant R-34a peatng between 0.4 MPa and.0 MPa. e egeant entes te mpess wt a tempeate 0 C, and leaes te mpess wt a tempeate 60 C. e egeant leaes te ndense as a sb-led lqd wt a tempeate 38 C. Detemne: ( te mass lw ate te egeant, [7 maks] ( te net ate wk dne n te egeant n te mpess, [7 maks] ( te eent pemane te eat pmp. [ maks] Page 3 8 ME08 Appled emdynams Exam - May 006.d
4 Qestn 4 (a A entes te mpess a 0 kw deal-gas egeatn yle at 80 K and 70 kpa and te tbne at 30 K and 80 kpa. Assmng aable spe eats a, detemne: ( te mass lw ate a tg te egeat, [0 maks] ( te net pwe npt, [ maks] A dble glazed wndw aea m s made p tw 7 mm tk layes glass (k glass 0.70 W/m C, wt an a gap spang 4 m between te plate glass layes (k a 0.0 W/m C. e nte a tempeate s 5 C, te exte a tempeate s 0 C, and te nete eat tanse eent s 5 W/m K eat tanse m te wam nte a t te nne glass ae, and m te te glass ae t te ld a tsde. Wat s te net ate eat ndted tg te dble glazed wndw? [0 maks] ( Sw tat te steady state ate eat ndtn q& tg a llw spee nne ads and tempeate and espetely, te ads and tempeate and espetely, and temal ndtty k s gen by k q& 4π ( [8 maks] Page 4 8 ME08 Appled emdynams Exam - May 006.d
5 Qestn 5 (a Wate lws tg a 0 m g ppe ppe (k s 400 W/m.K wt a mass lw ate 5 kg/s and a tempeate 80 C. e ppe as a be 5 m, a wall tkness mm, and s eed wt a m tk laye temal nslatn (k 0. W/m.K. e tempeate and te netn eat tanse eent n te tsde ae 5 C and W/m.K espetely. Detemne: ( te netn eat tanse eent eat tanse m te wate t te ppe ppe, [ maks] ( te eall eat-tanse eent U, [6 maks] ( te net ate eat lss m te wate t te tsde ennment. [4 maks] Hnt: Use N d (Re d / (P /3. Re d ρd/µ, P µ p /k e mean spe eat, mean temal ndtty and te mean ssty wate n te temal bnday laye s 400J/kg.K, W/m.K, and 3.55 x 0-4 kg/m.s espetely. An l eate n an engne test ell nssts a ppe -axal ydal lw eat exange (nne damete 3 m, wall tkness mm. Wate lws tg te nne ppe yde wt a mass lw ate kg/s, enteng te eat exange wt an ntal tempeate 95 C, and leang wt a tempeate 80 C. Ol lws tg te annls dened by te nne yde and te te yde, enteng te eat exange wt a tempeate 0 C, and leang wt a tempeate 70 C. Detemne: ( te eat exange eeteness, [4 maks] ( te mass lw ate l, [4 maks] ( te ttal lengt te -axal tbng. [0 maks] e netn eat tanse eent m wate t ppe s 4000 W/m.K, and m ppe t l s 000 W/m.K. e mean spe eat wate s 400 J/kg.K, and te mean spe eat te l s 675 J/kg.K. Intenal Examne: D R. D. Lkett Extenal Examne: Pess M. Imegn Page 5 8 ME08 Appled emdynams Exam - May 006.d
6 Fmla Seet Dentn Qalty y g s s s g Fst Law emdynams U Q W Fst Law Appled t Cemally Reatng Systems Q W U U U n U ( n U ( P P j Rj Rj j Steady Flw Enegy Eqatn q w Q& W& ext m& ext ext gz ext ext ext gz nlet ext nlet m& gz nlet nlet nlet nlet gz nlet Regeat COP egeat qn W q& n W& e emal Eeny a Heat Engne η t w q net n e mpstn atmspe a s % O, 79 % N by mle and by lme Page 6 8 ME08 Appled emdynams Exam - May 006.d
7 Fe s Law Heat Cndtn dq J n k A dt Retangla -dnates (ne dmensn J x dq d k A dt dx Cydal -dnates (adal detn J dq dq d k A dt πl dt d Speal pla -dnates (adal detn J dq dq d k A dt 4π dt d Steady-state ate eat tanse tg a mlt-laye wall q& U ( ( ( R x x R... R n n... A k A k A A n Steady-state ate eat tanse tg a mlt-laye ydal sell q& U l ( ( ( R R... R n n... π πk πk π n Page 7 8 ME08 Appled emdynams Exam - May 006.d
8 Page 8 8 ME08 Appled emdynams Exam - May 006.d Steady-state ate eat tanse tg a -axal ydal eat exange Ideal Gas Law PV nr PVmR R J/mle.K Isentp mpessn an deal gas Spe ntenal enegy a emal spees at tempeate Spe entalpy a emal spees at tempeate l kl l UA m m q π π π & & & k k k k V V p V p V ( ( 98.5 ( ( 98.5 d U ( ( 98.5 ( ( 98.5 d H p p
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