Gas Power Cycle - Internal Combustion Engine
Otto Cycle
                                            Otto Cycle
P   3                                 T                      3     • 1-2 isentropic compression
                                                                   • 2-3 constant volume heat
                                                                   transfer
                                  4        2
    2                                                              • 3-4 isentropic expansion
                                                            4
                                                                   • 4-1 constant volume heat
                                  1        1                       rejection
                                      v                           s
        Thermal efficiency of the system:
            Wcycle       W34 − W12 m[(u3 − u4 ) − (u2 − u1 )]     (u − u )
    η=               =            =                           = 1− 4 1
             Qin           Q23           m(u3 − u2 )              (u3 − u2 )
                                                 (u4 − u1 )     C (T − T )    T  T / T −1 
        For an ideal gas, u=C vT , η =1 −                   = 1− v 4 1 = 1− 1  4 1 
                                                 (u3 − u2 )     Cv (T3 − T2 ) T2  T3 / T2 − 1 
        Since T4 / T1 = T3 / T2 (why?)
               T1
    η = 1−        . From isentropic compression relation for an ideal gas
               T2
                     k −1
        T1  V2                 1                 V1 
          =               =     k −1
                                       , where r=   is the volume compression ratio
        T2  V1                r                  V2 
                                                           Otto Cycle-2
                              100
                                                                          Thermal efficiency of an Otto cycle,
thermal efficiency
                               80
                                                                                  1
                               60
                                                                          η = 1−  k −1
                     η( r )                                                      r
                               40
                                                                           Typical value of r for a real engine:
                               20                                          between 7 and 10
                                0
                                    0   3       6      9        12   15
                                                   r
                                            compression ratio
                     • The higher the compression ratio, the higher the thermal
                     efficiency.
                     • Higher r will led to engine knock (spontaneous ignition)
                     problem.
               Improvement of Performance
• Increase the compression ratio
• Increase the engine displacement: more power
• Compress more air into the cylinder during intake: using
supercharger and turbocharger.
• Cool the air before allowing it to enter the cylinder: cooler air
can expand more, thus, increase the work output.
• Reduce resistance during intake and exhaust stages: multiple
valve configuration: 4 cylinders/16 valves engine
• Fuel injection: do away with the carburetor and provide precise
metering of fuel into the cylinders.
                                Diesel Cycle
                                                         2-3: a constant pressure
P     2        3            T                            process (instead of a
                                                3        constant volume process)
                                                         and is the only difference
                                2                        between an idealized
                        4
                                                4        Diesel cycle and an
                                                         idealized Otto cycle.
                        1        1
                            v                        s
    • Fuel injection for an extended period during the power stroke and therefore
    maintaining a relatively constant pressure.
    • Diesel cycle has a lower thermal efficiency as compared to an Otto cycle
    under the same compression ratio.
    • In general, Diesel engine has a higher thermal efficiency than spark-ignition
    engine because the Diesel engine has a much higher compression ratio.
    • Compression-ignition: very high compression ratio 10 to 20 or even higher.