Gas Power Cycle - Internal Combustion Engine
Otto Cycle
Otto Cycle
P
v
1
2
3
4
T
s
1
2
3
4
( )
cycle 3 4 1 2
34 12 4 1
in 23 3 2 3 2
4 1 4 1 1 4 1
v
3 2 3 2 2 3 2
4 1
Thermal efficiency of the system:
W [ ( )]
( )
= 1
Q ( ) ( )
( ) ( ) / 1
For an ideal gas, u=C , =1 1 1
( ) ( ) / 1
Since /
v
v
m u u u u
W W u u
Q m u u u u
C T T u u T T T
T
u u C T T T T T
T T
q
q
+
+
= = =
| |
= =
|
\ .
3 2
1
2
1
1 2 1
1
2 1 2
/ (why?)
1 . From isentropic compression relation for an ideal gas
1
, where r= is the volume compression ratio
k
k
T T
T
T
T V V
T V r V
q
=
=
| | | |
= =
| |
\ . \ .
1-2 isentropic compression
2-3 constant volume heat
transfer
3-4 isentropic expansion
4-1 constant volume heat
rejection
Otto Cycle-2
0 3 6 9 12 15
0
20
40
60
80
100
compression ratio
t
h
e
r
m
a
l
e
f
f
i
c
i
e
n
c
y
q( ) r
r
Thermal efficiency of an Otto cycle,
q =
1
1
1
r
k
Typical value of r for a real engine:
between 7 and 10
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
P
v
1
2
3
4
T
s
1
2
3
4
2-3: a constant pressure
process (instead of a
constant volume process)
and is the only difference
between an idealized
Diesel cycle and an
idealized Otto cycle.
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.
Diesel Cycle Internal Combustion Engine