上游充通大学 SHANGHAI JIAO TONG UNIVERSITY Engineering Thermodynamics I Lecture 46 Chapter 9 Gas Power Cycles Spring,5/9/2019 Prof.,Dr.Yonghua HUANG 强 目e http://cc.sjtu.edu.cn/G2S/site/thermo.html 1日G
Engineering Thermodynamics I Lecture 46 Spring, 5/9/2019 Prof., Dr. Yonghua HUANG Chapter 9 Gas Power Cycles http://cc.sjtu.edu.cn/G2S/site/thermo.html
Diesel and Dual Cycles ns Exbaud Air Standard Diesel Cycle for CI Engines: Top dead p 2 3 s=const p const 4 const V s=const I 1 1 1 Qout V3 V1=V4 S1=S2 S3=S4 Define: r三 ="cutoff ratio"compression ratio r= -=- 上降文通大学 May9,2019 2 SHANGHAI JIAO TONG UNIVERSITY
May 9, 2019 2 Diesel and Dual Cycles Air Standard Diesel Cycle for CI Engines: qout s T 1 2 4 3 s1=s2 s3=s4 qin qout V p 1 2 4 3 V1=V4 qin V2 V3 3 BDC 1 c 2 2 TDC V V V Define : r " " compression ratio r V V cutoff ratio V
Continue Diesel Cycle s=const Diesel Cycle Energy Balances: const Assuming: V3 V1=V4 ·w=0 only during heat transfer4→l;△KE=△PE=0 Air is ideal gas,constant specific heats du=0 Wnet W23+W34-lw121=qin -lqoutl ·during process2→3,wist0(change in volume) qin-W23=(u3-u2) →qin=(u3-u2)+W23=(u3-u2)+P23(V3-V2) =h3-h2 dout u4 -U1 上游通大学 May9,2019 3 SHANGHAI JIAO TONG UNIVERSITY
May 9, 2019 3 Continue Diesel Cycle Diesel Cycle Energy Balances: • Assuming: • w = 0 only during heat transfer 4 1; DKE = DPE = 0 • Air is ideal gas, constant specific heats wnet = w23 + w34 – |w12| = qin – |qout| • during process 2 3, w is ≠0 (change in volume) qin – w23= (u3 – u2 ) qin = (u3 – u2 ) + w23 = (u3 – u2 ) + p23 (v3 – v2 ) = h3 – h2 qout = u4 – u1 d 0 u V p 1 2 4 3 V1=V4 qin V2 V3
Continue Diesel Cycle T p=const Diesel cycle efficiency: v=const For m-constant:.=V3 and r=V I V2 Qout Wret=m-l9oul=1-9ou=1-u-UL=1-C(T,-T) S1=S2 S3= A Qin Qin h3-h2 cp(T3-T2) …减 k(T3-T2) k-1 For is-→2是-/ For a constant pressure process2→3:p2=P3→ RT2 RT T → V2 V3 V2 上游充通大 May9,2019 4 SHANGHAI JIAO TONG UNIVERSITY
May 9, 2019 4 Continue Diesel Cycle Diesel cycle efficiency: 3 1 c 2 2 v v For m=constant: r and r v v s T 1 2 4 3 s1=s2 s3=s4 qin qout net v 4 1 in out out 4 1 th in in in 3 2 p 3 2 w c (T T ) q q q u u 1 1 1 q q q h h c (T T ) 4 1 3 2 4 1 1 th 3 2 2 T T T T 1 (T T ) T 1 1 k(T T ) T k 1 k 1 2 1 k 1 1 2 T v For isentropic process 1 2: r T v 2 3 3 3 2 3 c 2 3 2 2 RT RT T v For a constant pressure process 2 3: p p r v v T v
Continue Diesel Cycle s const Continue Diesel cycle efficiency: S const For isentropic process3→4: V2 V3 V1=V4 K- Then,r 1 =1- 1-1 (const.k) T k(。-) Thus,for a given r:mth.Dieselnth.outo! 上游通大学 May9,2019 5 SHANGHAI JLAO TONG UNIVERSITY
May 9, 2019 5 Continue Diesel Cycle Continue Diesel cycle efficiency: k 1 k 1 k 1 k 1 2 k 1 2 3 4 1 1 1 2 2 k 1 k 1 4 3 3 3 3 1 3 k 1 k 1 k 4 3 3 3 3 3 k c 1 2 2 2 2 2 For isentropic process 3 4: T V T V V V T T V T V V V V T V T T V V V V r T T V V V V k 1 2 1 1 2 T v T v (const. k) 4 1 3 2 k c k 1 th 2 1 c 1 T T T T 1 T Then, 1 T k 1 1 r 1 1 r k(r 1) V p 1 2 4 3 V1=V4 qin V2 V3 Thus, for a given r : ! th,Diesel th,Otto