where:

rev = reversible

in = input

Our objective is to minimize the air compressor work that means to approach the reversible process i.e. minimize the friction, and turbulence

Practical way to do this is to make v (specific volume) small by maintaining T (temperature) at low temperature during compression because v a T. In other words, to reduce the work input to a compressor, air should be cooled as it is compressed.

**Effect of Cooling**

- Isentropic process: No cooling during compression
- Polytropic process: Involve some cooling
- Isothermal process: Involve maximum cooling

Let's consider the following equations of each process.

__Assumptions:__

- All three processes are executed between the same pressure levels (P1 and P2)
- Reversible process, gas behaves as an ideal gas (Pv = RT)

__Isentropic process__ (Pv^{k} = constant, k = C_{p}/C_{v})

__Polytropic process__ (Pv^{n} = constant)

From the above 3 equations, we can plot them in P-v diagram as follows,

where:

Red line represents an isentropic compression process (n=k)

Blue line represents a polytropic compression process (1<n<k)

Green line represents an isothermal compression process (n=1)

Yellow area represents the air compressor work required during compression process of an isothermal process

Because the area from each line to the left is the required air compressor work, we can see that an isothermal process requires loweer amount of energy than polytropic process and isentropic process respectively.

Now we understand that we can save the energy required for compression if we could have some cooling during compression.

Next topic is to see how to save the energy in polytropic compression process which is the case of most air compressors.

## 1 comment:

I'm studying air conditioning system for

Air Cooled Chillers. And we made a research on this. I will tell my teacher about this.Post a Comment