A diesel engine has a compression ratio of 20:1 with an inlet of 95 kPa, 290 K, state 1, with volume 0.5 L. The maximum cycle temperature is 1800 K. Find the maximum pressure, the net specific work and the thermal efficiency.

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11.108
I
A diesel engine has a compression ratio of 20:1 with an inlet of 95 kPa, 290 K,
state 1, with volume 0.5 L. The maximum cycle temperature is 1800 K. Find the
maximum pressure, the net specific work and the thermal efficiency.
Solution:
Compression process (isentropic) from Eqs.8.33-34
T₂ T₁(v₁/v₂)k-1-290 x 2004-961 K
1.4.
P₂=95x(20)
-1W2U₂-U₁ Co( T₂-T₁)-0.717 (961-290)-481.1 kJ/kg
Combustion at constant P which is the maximum presssure
=
6297.5 kPa; V₂v₁/20=RT₁/(20 P₁) = 0.043805
P3-P₂-6298 kPa; V3 V₂ T3/T2-0.043805 x 1800/961 -0.08205
2W3 P (V3-V₂) 6298 x (0.08215-0.043805)-241.5 kJ/kg
293
U3-U2+2W3=h3-h2=Cpo(T3-T₂)-1.004(1800-961)=842.4
Expansion process (isentropic) from Eq.8.33
T4 T3(V3/V4)04-1800 (0.08205/0.8761) 0.4-698 K
AP
3W4 U3-U4 Co(T3-T4)=0.717 (1800-698)-790.1 kJ/kg
Cycle net work and efficiency
W,
net 2W3+3W4+ 1W2=241.5 +790.1-481.1=550.5 kJ/kg
n-Wnet/9H-550.5/842.4-0.653
AT
NA
Transcribed Image Text:11.108 I A diesel engine has a compression ratio of 20:1 with an inlet of 95 kPa, 290 K, state 1, with volume 0.5 L. The maximum cycle temperature is 1800 K. Find the maximum pressure, the net specific work and the thermal efficiency. Solution: Compression process (isentropic) from Eqs.8.33-34 T₂ T₁(v₁/v₂)k-1-290 x 2004-961 K 1.4. P₂=95x(20) -1W2U₂-U₁ Co( T₂-T₁)-0.717 (961-290)-481.1 kJ/kg Combustion at constant P which is the maximum presssure = 6297.5 kPa; V₂v₁/20=RT₁/(20 P₁) = 0.043805 P3-P₂-6298 kPa; V3 V₂ T3/T2-0.043805 x 1800/961 -0.08205 2W3 P (V3-V₂) 6298 x (0.08215-0.043805)-241.5 kJ/kg 293 U3-U2+2W3=h3-h2=Cpo(T3-T₂)-1.004(1800-961)=842.4 Expansion process (isentropic) from Eq.8.33 T4 T3(V3/V4)04-1800 (0.08205/0.8761) 0.4-698 K AP 3W4 U3-U4 Co(T3-T4)=0.717 (1800-698)-790.1 kJ/kg Cycle net work and efficiency W, net 2W3+3W4+ 1W2=241.5 +790.1-481.1=550.5 kJ/kg n-Wnet/9H-550.5/842.4-0.653 AT NA
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