This is a thermodynamics question I want to add an intercool

This is a thermodynamics question. I want to add an intercooler to my non-intercooled turbo diesel engine. Can someone post the equations I would need to calculate the new compressor inlet temp and outlet temperature as well as equations to solve for the other parameters or effects I could solve for assuming I have the values for mass airflow rate, mass fuel rate, ect.

Solution

Here you want to calculate inlet and outlet temperature for new compressor, So I assume that you have the Temperature for air leaving intercooler.

For instance lets assume, air leaving intercooler is t_io,

You can use equation Q= mCp (tc-tio)

Q= energy transferred by intercooler

m= mass flow rate of air through intercooler

Cp= heat capacity of air

t_c= temperature of air coming out from compressor

t_io= outlet temperature of air in intercooler

Now similar equation can be applied to Compressor assuming T= compressor inlet temperature

Q= mCp (tc-T)

Q= energy transferred by compressor

m= mass flow rate of air through compressor

Cp= heat capacity of air

t_c= temperature of air coming out from compressor

T= inlet temperature to compressor

In first equation you can find outlet temperature of compressor (t_c) whereas in second equation you can find inlet temperature to compressor (T).