We have already discussed the concept of “Carnot cycle and its efficiency” and we
have also seen the concept of “Carnot theorem and its explanation” in our previous post.
Today we are interested to see the basic and fundamental concept of reversed Carnot heat engine cycle or reversed Carnot cycle with the help of this post.
Today we are interested to see the basic and fundamental concept of reversed Carnot heat engine cycle or reversed Carnot cycle with the help of this post.
As we have already discussed that Carnot cycle is a
reversible cycle and each process of Carnot cycle will be reversible process
and therefore we can consider that each process of Carnot cycle is reversed and
cycle is being operated in reverse direction.
We must note it here that if a reversible process is
reversed then all types of energy, such as heat energy or work energy, associated
with the process will have same magnitude but the direction of energy
interaction will be reversed.
Let us see here first reversed Carnot heat engine cycle
Following figure, displayed here, indicates the
reversed Carnot heat engine cycle. There are four processes in reversed Carnot
heat engine cycle as shown in figure, now we will see here the each process of
reversed Carnot heat engine cycle.
Reversed
Carnot heat engine cycle
Process 1 to 2: Adiabatic compression process
Process 1 to 2 will be the adiabatic compression
process or isentropic compression process. Working fluid will be compressed
here during the adiabatic compression process or isentropic compression process
1 to 2 by receiving work energy W from surrounding.
Work energy will be added to the system from
surrounding or we can say that work will be done on the system by the surrounding
during this process. Therefore input energy during this adiabatic compression
process or isentropic compression process will be work energy.
During this adiabatic compression process, pressure
and temperature of working fluid will be increased but there will not be any
heat interaction between system and surrounding during this process 1 to 2.
Volume of working fluid will be reduced during this process.
As shown in figure, temperature of the working fluid
is increased from T1 to T2 during this adiabatic compression process or
isentropic compression process 1 to2.
Process 2 to 3: Isothermal compression process
Process 2 to 3 will be the isothermal compression process
and therefore working fluid will be compressed here by keeping temperature
constant.
As we know that during the compression of the working fluid, temperature of working fluid will be increased but as we need to maintain the temperature constant and therefore we will use one cold thermal reservoir so that heat will be rejected to the cold thermal reservoir and temperature of the working fluid remain constant.
As we know that during the compression of the working fluid, temperature of working fluid will be increased but as we need to maintain the temperature constant and therefore we will use one cold thermal reservoir so that heat will be rejected to the cold thermal reservoir and temperature of the working fluid remain constant.
Therefore, heat energy Q1 will be rejected during
this process at constant high temperature.
So, during this process 2 to 3, temperature of
working fluid will remain constant and heat energy Q1 will be rejected by the
system to the surrounding during this process.
Process 3 to 4: Adiabatic expansion process
Process 3 to 4 will be the adiabatic expansion
process or isentropic expansion process. During this adiabatic expansion
process or isentropic expansion process, pressure and temperature of working
fluid will be reduced while volume of working fluid will be increased during
this process.
There will not be any heat interaction between
system and surrounding during this adiabatic expansion process or isentropic
expansion process.
Temperature of working fluid will be reduced from T2
to T1 as shown in figure.
Process 4 to 1: Isothermal expansion process
Process 4 to 1 will be the isothermal expansion
process and therefore working fluid will be expanded here by keeping
temperature constant. Pressure of working fluid will be reduced and volume of
working fluid will be increased during this isothermal expansion process.
As we know that temperature of working fluid will
fall during the isothermal expansion process and therefore we have used one hot
thermal reservoir in order to keep the temperature of working fluid constant
because this process is one isothermal expansion process and hence we will have
to maintain the temperature of working fluid constant.
Heat energy Q2 will be added here to the system from
surrounding at lower temperature or we can say that during this process, heat
energy Q2 will be absorbed by the working fluid at low temperature T1 from the
space being cooled.
We have secured one reversible cycle 1-2-3-4-1 and
this reversible cycle will be termed as reversed Carnot heat engine cycle.
A reversed Carnot heat engine is also termed as
refrigerating machine. It will receive heat energy from a low temperature region
and will deliver the heat energy to a high temperature region by securing the
work energy from surrounding.
Removal action of heat energy from a cold region
will reduce the temperature of that cold region below the temperature of
surrounding and that is the basic concept of refrigeration and we will discuss this
i.e. basic concept of refrigeration later in detail.
Coefficient of performance of a refrigerator (C.O.P)
C.O.P = Heat absorbed / Work supplied
C.O.P = Heat absorbed / [Heat rejected - Heat
absorbed]
C.O.P = Q2 / [Q1 – Q2]
C.O.P = T2 / [T1 – T2]
We will see another topic i.e.
"What are the corollaries of Carnot Theorem? in
our next post in the category of thermal engineering.
Do you have suggestion? Please write in comment box
Reference:
Engineering thermodynamics by P. K. Nag
Image courtesy: Google
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