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HW_18_Solution - .Pelélm 11” C’ ’ At the beginning...

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Unformatted text preview: .Pelélm 11” C’ ’ At the beginning of compression in a diesel cycle T = 300 K, P = 200 kPa and after combustion (heat addition) is complete T = 1500 K and P = 7.0 MPa. Find the compression ratio, the thermal efficiency and the mean effective pressure. Solution: Standard Diesel cycle. See P—V and T-s diagrams for state numbers. Compression process (isentropic) P2 =P3= 7000 kPa => v1 /v2= (132/13 )1/1<—(7000/200)0-—7143 ~ 12. 67 = T1(P2 / 1301101) / 1‘ = 300(7000 / 200) ”-2857: 828.4 K Expansion process (isentropic) first get the volume ratios v3 / v2 = T3 / T2 = 1500 / 828.4 = 1.81 v4/v3= Vl/V3=(V] /V2)(V2/V3)=12.67/ 1. 81 =7 The exhaust temperature , 7" -, ,. T4 = T3(v3/V4)k'1 41500701121 = 688.7 K qL = CVO(T4 — T1) = 0.717(688.7 - 300) = 278.5 kJ/kg qH = h3 - h2 z Cp0(T3 - T2) = 1.004(1500 — 828.4) = 674 kJ/kg Overall performance n=1-qL/qH=l—278.5/674=0.587 wnet ==qnet qH - qL = 674 - 278.5 = 395.5 kJ/kg max = = R T1 /P1 = 0 287x300 / 200 = 0.4305 m3/kg me= vmax / (v1 /v2)= 0 4305/ 12 67: 0.034 m3/kg V Wnet = 395.5 /(0.4305 - 0.034) = 997 kPa P = meff _ . Vmax Vmin Remark: This is a too low compression ratio for a practical diesel cycle. W: kn air-fiawdanl 'Dicsd Oriole has a. known compressnbn radio MA a swath“. 5+oulze. M- m bcgcnnxmg as: compmuou. The. mmuimum 01:1: nwm-C'uxv. u swag. 11mm; :De’rervnMe. (o) +hz ud— wovk do) Mi-kermd eH-icien (c) flu. macaw cH-uJ-we Pressure, and (d) 'Hne cu+oFP m. (e. we 'c. 00 AT -. I air } l V./V,_= l"! '4 ”/56: = 520°R q T W= S - ‘ L ea Ex¢w~ple ‘I 7. V. =2“; W1 Beam b3 iix‘kfl cad». pn‘mclpax s+a+e of Hu- uade. CTYH: A— 7.25). M: T.=520°R =£> u,. 68.67. 5mm» .14.: ($8.58 3m: For 'HM. {sumpic compressfow 'U‘r,,= ‘3‘)11'r| = -|-)15858 = 13282. Thu 123.1539 5 W: J k = 318. 32. 5+“le 5mg. ¢.§-. T3=HOOO°R =|> L. =:oae.a 3mm lax“: H5I8 sink 4‘- For Mac ism-hook exmeo-w \IJ: =- V| T1 ‘53445 v; fi¥§ _v"? =Q'1) 19.522. 1 a HOOD and V Va. = 7: Um = 2.41be TM; ‘1-M 57.7.53 '1 “R J km: 92.1. 7.5 awn/lb (a) For Meade, chuo. = chm. “M5 ' we‘d; '-‘ Qrs‘ QM = m [(h3—kzy—(uq~u.)] Evaluad-n'na WI av. _ (wMMh )(IW) tq-n'n‘. RT. ‘ .sus .myszom) H‘+‘ 3‘1 “0 °fl :- o.wsq \L Thus wuode. =(.w-s-1 \b) [@083 s 313 31.)..(H2L 7.5 88.51)]WBM 5'12 8'1 3MP Wench (5) The. erv'ml efimmua LC K‘ Nada: WEEI'A‘ Q13 m0“:“"=—\ ___ “.81 BM ) ( ms» “9) (mass —318.37.)Bwu, - o.ssn (53.1%) n. “7-3 5 ‘W 04 MAP“ °P¢;é%'n9 dad-a. are Provided «For an ink-"1.1 Combos-HAM engine Modded cu av! air—shnar-l Dies-«(cycle FHUD: Dekrmne. +1» nu- wpfl‘ pef‘yc‘g +5“ [Power- developed, and “I'M Hum—AA Cfil'dvenc;1 scutMA-nc 86mm ”DA-re: Ammo-nous: M _______ 130° «flu/M"? -v- :l..a 12.1w so. figwle a-L '- " vv 2:5“?311 “Vim-=2"! ADALTSIS: 03..., Sun... is“! +‘au. p f24rKP¢~ “fin-rutnw rah‘ o lo abhuurd as Follows: V 11:300K v.-.v‘ ~s.e= (mD‘ 3.4,: MM" 27 1a-... <- 0 , Vi. - o «:15' U. Hark, iofia are ooh—cued on.“ lock [VB-““1,“ “‘11.. SELL- filth—.70.“! A'IL d Tl =3w k) “I: lube-I ”all: I vr. ._. blL‘L . SE: Form-Wenfruprc Co mutan— w...;{.wn= “f5?" amt-w haw: ram, H=EH3K Sh-CJ: ‘5le punt-«.4 u‘: wash-V" firmuul-Jl ”7y; 1;, =(2.q)(2«3)=zost 1* '43: 22808523 , W3: 2.0m; T——L W), SW4: FDI' W :an45-me “Faraway, W , YH= L-fl —. (mg— )4. 2.5, e, m- - (max: om)-u,.1¢q Vr3 ‘5 V2. V; 3; u+= 88%.wa16 TM Mr: u'. “Hume-L Its-'5‘: 4““ 4w 3:: mm Hyuuhak 1 111-40. 1m: P_.__V :I’Gswo flu. A G'OLhn) \ ‘° “‘1 ._.(,,(pL;<103l_1 ‘1'. g; \I N"- 11.1w '1 (-3.541 a1)(3°°‘) 5" “'“x 91“: V’C‘zcle = Qcyclc. pmuI‘S-o: I-‘L mul 3-v n'hvalwuo And-- 5"““441; 90; Qtydg : Q13 -- Q4.“ WM (bur-ML'M—hg],Q4.’-h~(u¢-U.) w, “1131.14 -. (64.134011)K1280.8$~9M.03)—(8‘a‘f.% ~2M°7>J 5; - qROl F3 W mele— wojcle. Thugwm- deal-qua 5; ‘21 93W ‘Pa—W Wt‘me '- (60° ask-00”!” 5%.)I'L so: I'll: _T}= I T‘M mwufipdanq ‘4' ‘4 qOI $31614; qqq Vt ‘ N - .5 S2: *\ ' 1162?? mm W; -so :4 7.)+— \097.3 947 KPH)» 0‘4 “Wk 77 7 ‘ (a) TM. meauA ef—Fed-{Ne Gamma-e is W d1 W w. = __"a_ -_ ___ugc_\e_—_ °" (V. - M v, a- Vdv.) _ (54.91 an) 116 “45+ ' n+7- ’ (2. 8+3)(|— Vm) 13M 'I‘H a: = [51.5 Luhkf' , WP U!) The Cad-OFF rad-lb]; Ae’mrmn'ncd as follows: v — r = 3 = u = ‘1000 = " v1. T7. ISSH-S 2'6““ I“ 4‘34: -(I/ ...
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