What is Otto Cycle – P-V and T-S Diagram Easiest Explanation?

The Otto cycle was given by Dr.
Nikolaus August Otto. It is a gas power cycle that is used in spark ignition engine (i.e. petrol engine) for its working. The entire modern petrol engine works on
Otto cycle. It consist of four processes, Two isentropic (reversible adiabatic) processes and two isochoric (constant volume) processes. It has low compression ratio ranges from 7:1 to 10:1. Here we will try to understand this cycle with help of its P-V and T-S diagram.
The four processes of this cycle is as follows:

1. Isentropic ( reversible adiabatic) compression
2. Constant volume (Isochoric) heat addition
3. Isentropic (reversible adiabatic) Expansion
4. Constant volume heat rejection.

Before starting to understand these four processes, lets us first understand about isentropic and isochoric process.
  1. Isentropic Process: It is a thermodynamic process in which
    the entropy of the system remains unchanged (i.e. entropy remains constant). There
    is no dissipation of heat takes place during isentropic process, so sometime
    isentropic process called as reversible adiabatic process.
  2. Isochoric Process: The process which takes place at constant
    volume is called isochoric process.

How Otto Cycle Works?

Now, with the help of P-V and T-S diagram, we can easily
understand all the process of Otto cycle.
P-V and T-S diagram of Otto Cycle

Note: For better explanation, while reading watch the P-V and T-S diagram everytime.

1. Process  1-2: Isentropic Compression

This process involves the motion of piston
from TDC to BDC. The air that is sucked into cylinder during suction stroke
undergoes reversible adiabatic (isentropic) compression. Since the air is
compressed, the pressure increases from P1 to P2, the
volume decreases from V1 to V2, temperature rises from T1
to T2, and entropy remains constant.

2. Process 2-3: Constant Volume Heat Addition

This process is an isochoric process i.e.
the heat is added to the air at constant volume. The piston in this process
rest for a moment at TDC and during this time heat is added to the air through
external source. Due to the heat addition, the pressure increases
from P2 to P3, pressure, volume remains constant(i.e.
V2=V3),
temperature increases from T2 to T3 and entropy increases
from S2 to S3.
The amount of heat added is given by

3. Process 3-4: Isentropic Expansion

In this process, the isentropic (reversible
adiabatic) expansion of air takes place. The piston moves from TDC to BDC.
Power is obtained in this process which is used to do some work. Since this
process involves expansion of air, so the pressure decreases from P3 to
P4, volume increases from V3 to V4,
temperature falls from T3 to T4 and entropy remains
unchanged (i.e. S3=S4).

4. Constant Volume Heat Rejection

In this process, the piston rest for a
moment at BDC and rejection of heat takes place at constant volume. The pressure
decreases from P4 to P1, Volume remains constant (i.e. V4=V1),
temperature falls from T4 to T1.
The amount of heat rejected in this process
is given by
When this cycle is used in four stroke petrol engine than two process increases. one is suction of  air fuel mixture inside the cylinder which takes place at constant atmospheric pressure and other one is exhaust of gases out of the engine cylinder at constant atmospheric pressure. These two process are not shown in ideal otto cycle that we have discussed above. 

Summary in Tabular Form

S.no
Process
Operation
Position of piston
Change in parameter
1.
1-2: Isentropic Compression
Compression of air.
BDC to TDC
V: Decreases from V1 To V2
T: Increases from T1 to T2
P: Increases from P1 to P2
S: Entropy remains constant (S1=S2)
2.
2-3: Constant Volume Heat Addition
Heat is added in the form of spark and combustion occurs.
At TDC for a moment
V: Remains constant (V2 = V3 )
T: Increases from T2 to T3
P: Increases from  P2
to P3
S: Increases from S2 to S3
3.
3-4: Isentropic Expansion
Expansion of air takes place due to heat addition.
TDC to BDC
V: Increases from V3 to V4
T: Decreases from T3 to T4
P: Decreases from P3 to P4
S: Entropy remains constant (S3=S4)
4.
4-1: Constant Volume Heat Rejection
 Heat is rejected to a sink.
At BDC for a moment
V: Volume remains constant(V4 = V1 )
T: Decreases from T4 to T1
P: Decreases from P4 to P1
S: Decreases from S4 to S1

Thermal Efficiency

The efficiency of Otto cycle is given by
thermal efficiency of otto cycle

Application 

It is used in all  two stroke and four stroke petrol engines of motorcycles, cars, and other light duty vehicles.
If you find anything missing or incorrect than lets us know through your valuable comments. And if you found this topic informative than don,t forget to like and share it on social networks. Thanks in advance.

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