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Presented By:
Hamid Ali 2013-ME-326
Mehmood-Ul-Hassan 2013-ME-305
Ahsan Ali Hanif 2013-ME-327
Waseem Sarwar 2013-ME-344
Tahseen Kanwal 2013-ME-322
Presented To:
Dr. Shahid Imran
1
Contents:2
• Ideal cycles
• Fuel air cycle
• Factors in fuel air cycles
• Cycle comparisons
• Actual cycles
• Problem statement
Otto Cycle
1-2 isentropic compression
2-3 constant volume heat addition
3-4 isentropic expansion
4-1 constant volume heat rejection 3
4
2
1
v
v
v
v
r 1
1
1 
 k
rVconst c
th
Diesel Cycle
1-2 isentropic compression
2-3 constant pressure heat addition
3-4 isentropic expansion
4-1 constant volume heat rejection
Dual Cycle
1-2 isentropic compression
2-3 constant volume heat addition
3-4 constant pressure heat addition k= p3/p2
4-5 isentropic expansion
5-1 constant volume heat rejection
Fuel-air cycle analysis:6
 In the Fuel-Air Cycle, the engine processes are still modelled as ideal but the
properties of the working fluid (residual gas mixture before combustion, and
burned gases after combustion) are described accurately.
 The Fuel-Air cycle Assumptions :
a. No change in the fuel or air chemical composition before combustion.
b. The process is frictionless and adiabatic.
c. Charge is in chemical equilibrium after combustion.
d. Combustion process is instantaneous.
e. Fuel is completely vaporized and perfectly mixed with the air (for SI only).
Factors in fuel air cycle:7
I. Actual composition of cylinder gases
II. The variation of Specific heat
III.Dissociation Effect
IV.Variation of No. of moles
Composition of cylinder gas:8
 (Fuel +Air + Water vapour + residual gas)
 The fuel air ratio changes during the engine operation
 The amount of exhaust gases changes with speed and load on the engine.
 The effect of cylinder composition on the performance of the engine can easily
computed by means of suitable numerical techniques.
Composition of cylinder gas:9
All gases except mono-atomic gases, show an
increase in specific heat with temperature.
However between the temperature range 300 K – 1500
K the specific heat curve is nearly a straight line which
may be approximately expressed in form
Above 1500 K the specific heat increases is much more rapid
and may be expressed in the form
The variation of specific heat
The variation of specific heat
Dissociation
Variation of no. of moles
The number of molecules in the cylinder varies as the pressure and
temperature change
The number of molecule presented after combustion depend upon
I. Fuel-Air ratio
II.Pressure and temperature
The number of mole does a direct effect on the amount of work that the
cylinder gas impact on the piston .
Cycle comparisons:14
• Equal compression ratio and equal heat added
Cycle comparisons:15
• Equal compression ratio and equal heat rejected
Cycle comparisons:16
• Equal maximum pressure and equal heat added
Cycle comparisons:17
• Equal maximum pressure and maximum temperature
Air Standard
Cycle
Air Fuel
Cycle
Actual
Cycle
Corrected for
characteristics
of air-fuel
mixture
Corrected for
losses
Actual cycle:18
Factors affecting thermodynamic cycles:19
Heat transfer
Finite combustion time
Exhaust blowdown loss
Crevice effects and leakage
Friction loss
Heat transfer loss:20
• Losses which occur due to heat transfer through water jackets and
cylinder walls
• Loss occur in compression and expansion stroke
Finite Combustion time:
• Combustion process is actual cycles is not instantaneous but is
spread over time
• Combustion process spread over 30-40° crank revolutions
Exhaust Blowdown loss:21
• Loss which occur due to early opening of exhaust valve
• Best Compromise is 40-60° bBDC
Friction loss:
• Loss which occur due to friction between piston and chamber
walls
• Loss due to energy spent in operating auxiliary equipments
Crevice effects and leakage:22
• Leaking of gas flow through crevices/gaps between piston, piston rings
and cylinder walls
Leakage
Compression stroke Expansion stroke
The NOX emission from automobiles is a mixture of NO and NO2. At high
temperatures, the mixture is mostly NO, and at low temperatures, mostly NO2.
Consider a mixture with elemental composition of 1 mole of nitrogen atom and 2
moles of oxygen atoms at a fixed pressure of 1 atmosphere. Plot the equilibrium mole
fraction of NO as a function of temperature in the 600 to 1000 K range. (The actual
exhaust gas is not in equilibrium; therefore, the equilibrium value of NO is a lower
bound.) Note that at equilibrium above 1000 K, most of the gas is NO.
The equilibrium
constants from the
JANAF table are:
T(K)
Log10Kp for NO Log10Kp for NO2
600 -7.210 -6.111
700 -6.086 -5.714
800 -5.243 -5.417
900 -4.587 -5.185
1000 -4.062 -5.000
Problem statement:
2N+ 3/2 O2 → NO+NO2
Kp = (PNo * PNO2)/(P2
N * P3/2
O2 )
Px= x∗Pt
𝒙 =
𝐍𝐨 𝐨𝐟 𝐦𝐨𝐥𝐞𝐬 𝐨𝐟 𝐚 𝐠𝐚𝐬 𝐢𝐧 𝒎𝒊𝒙𝒕𝒖𝒓𝒆
𝐭𝐨𝐭𝐚𝐥 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐦𝐨𝐥𝐞𝐬 𝐨𝐟 𝒎𝒊𝒙𝒕𝒖𝒓𝒆
Formulas:
0
1
2
3
4
5
6
7
8
9
10
600 700 800 900 1000 1100
MoleFractionofNO
Temperature (k)
Temperature Vs Mole fraction of NO
Temperatur
e
Mole
fraction of
NO
600 0.02835
700 0.199
800 0.887
900 3.16
1000 9.344
Crevice effects and leakage:
0
1
2
3
4
5
6
7
8
9
10
600 700 800 900 1000 1100
AxisTitle
Axis Title
Mole fraction of NO2
Temperature
Mole fraction
of NO2
600 9.34
700 3.16
800 0.97
900 0.2
1000 0.028
Crevice effects and leakage:

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Ideal Models of Engine Cycles

  • 1. * Presented By: Hamid Ali 2013-ME-326 Mehmood-Ul-Hassan 2013-ME-305 Ahsan Ali Hanif 2013-ME-327 Waseem Sarwar 2013-ME-344 Tahseen Kanwal 2013-ME-322 Presented To: Dr. Shahid Imran 1
  • 2. Contents:2 • Ideal cycles • Fuel air cycle • Factors in fuel air cycles • Cycle comparisons • Actual cycles • Problem statement
  • 3. Otto Cycle 1-2 isentropic compression 2-3 constant volume heat addition 3-4 isentropic expansion 4-1 constant volume heat rejection 3 4 2 1 v v v v r 1 1 1   k rVconst c th
  • 4. Diesel Cycle 1-2 isentropic compression 2-3 constant pressure heat addition 3-4 isentropic expansion 4-1 constant volume heat rejection
  • 5. Dual Cycle 1-2 isentropic compression 2-3 constant volume heat addition 3-4 constant pressure heat addition k= p3/p2 4-5 isentropic expansion 5-1 constant volume heat rejection
  • 6. Fuel-air cycle analysis:6  In the Fuel-Air Cycle, the engine processes are still modelled as ideal but the properties of the working fluid (residual gas mixture before combustion, and burned gases after combustion) are described accurately.  The Fuel-Air cycle Assumptions : a. No change in the fuel or air chemical composition before combustion. b. The process is frictionless and adiabatic. c. Charge is in chemical equilibrium after combustion. d. Combustion process is instantaneous. e. Fuel is completely vaporized and perfectly mixed with the air (for SI only).
  • 7. Factors in fuel air cycle:7 I. Actual composition of cylinder gases II. The variation of Specific heat III.Dissociation Effect IV.Variation of No. of moles
  • 8. Composition of cylinder gas:8  (Fuel +Air + Water vapour + residual gas)  The fuel air ratio changes during the engine operation  The amount of exhaust gases changes with speed and load on the engine.  The effect of cylinder composition on the performance of the engine can easily computed by means of suitable numerical techniques.
  • 10. All gases except mono-atomic gases, show an increase in specific heat with temperature. However between the temperature range 300 K – 1500 K the specific heat curve is nearly a straight line which may be approximately expressed in form Above 1500 K the specific heat increases is much more rapid and may be expressed in the form The variation of specific heat
  • 11. The variation of specific heat
  • 13. Variation of no. of moles The number of molecules in the cylinder varies as the pressure and temperature change The number of molecule presented after combustion depend upon I. Fuel-Air ratio II.Pressure and temperature The number of mole does a direct effect on the amount of work that the cylinder gas impact on the piston .
  • 14. Cycle comparisons:14 • Equal compression ratio and equal heat added
  • 15. Cycle comparisons:15 • Equal compression ratio and equal heat rejected
  • 16. Cycle comparisons:16 • Equal maximum pressure and equal heat added
  • 17. Cycle comparisons:17 • Equal maximum pressure and maximum temperature
  • 18. Air Standard Cycle Air Fuel Cycle Actual Cycle Corrected for characteristics of air-fuel mixture Corrected for losses Actual cycle:18
  • 19. Factors affecting thermodynamic cycles:19 Heat transfer Finite combustion time Exhaust blowdown loss Crevice effects and leakage Friction loss
  • 20. Heat transfer loss:20 • Losses which occur due to heat transfer through water jackets and cylinder walls • Loss occur in compression and expansion stroke Finite Combustion time: • Combustion process is actual cycles is not instantaneous but is spread over time • Combustion process spread over 30-40° crank revolutions
  • 21. Exhaust Blowdown loss:21 • Loss which occur due to early opening of exhaust valve • Best Compromise is 40-60° bBDC Friction loss: • Loss which occur due to friction between piston and chamber walls • Loss due to energy spent in operating auxiliary equipments
  • 22. Crevice effects and leakage:22 • Leaking of gas flow through crevices/gaps between piston, piston rings and cylinder walls Leakage Compression stroke Expansion stroke
  • 23. The NOX emission from automobiles is a mixture of NO and NO2. At high temperatures, the mixture is mostly NO, and at low temperatures, mostly NO2. Consider a mixture with elemental composition of 1 mole of nitrogen atom and 2 moles of oxygen atoms at a fixed pressure of 1 atmosphere. Plot the equilibrium mole fraction of NO as a function of temperature in the 600 to 1000 K range. (The actual exhaust gas is not in equilibrium; therefore, the equilibrium value of NO is a lower bound.) Note that at equilibrium above 1000 K, most of the gas is NO. The equilibrium constants from the JANAF table are: T(K) Log10Kp for NO Log10Kp for NO2 600 -7.210 -6.111 700 -6.086 -5.714 800 -5.243 -5.417 900 -4.587 -5.185 1000 -4.062 -5.000 Problem statement:
  • 24. 2N+ 3/2 O2 → NO+NO2 Kp = (PNo * PNO2)/(P2 N * P3/2 O2 ) Px= x∗Pt 𝒙 = 𝐍𝐨 𝐨𝐟 𝐦𝐨𝐥𝐞𝐬 𝐨𝐟 𝐚 𝐠𝐚𝐬 𝐢𝐧 𝒎𝒊𝒙𝒕𝒖𝒓𝒆 𝐭𝐨𝐭𝐚𝐥 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐦𝐨𝐥𝐞𝐬 𝐨𝐟 𝒎𝒊𝒙𝒕𝒖𝒓𝒆 Formulas:
  • 25. 0 1 2 3 4 5 6 7 8 9 10 600 700 800 900 1000 1100 MoleFractionofNO Temperature (k) Temperature Vs Mole fraction of NO Temperatur e Mole fraction of NO 600 0.02835 700 0.199 800 0.887 900 3.16 1000 9.344 Crevice effects and leakage:
  • 26. 0 1 2 3 4 5 6 7 8 9 10 600 700 800 900 1000 1100 AxisTitle Axis Title Mole fraction of NO2 Temperature Mole fraction of NO2 600 9.34 700 3.16 800 0.97 900 0.2 1000 0.028 Crevice effects and leakage: