How to model a condenser (heat exchanger) where both streams are two fluid mixtures?

Question

As mentioned I would like to model a heat exchanger (using Python). In this case, the condenser/hx streams are both a mixture of O2 and N2

These are known for both streams:

• Inlet temperature
• Inlet flowrate (moles)
• Inlet composition (fraction of each component in each phase. Gas/liquid)
• The approach temperature of the HX is also assumed to be 5K

We cannot assume that condensation will occur. So two cases are:

1. condensation of one stream occurs
2. condensation does not occur

As I am modelling this mathematically, I would hope to set up a function in this form:

INPUTS:

• Inlet temperature 1 and 2
• Inlet liquid flow 1 and 2
• Inlet vapour flow 1 and 2
• Inlet vapour composition 1 and 2
• Inlet liquid composition 1 and 2
• The assumed approach temperature

OUTPUTS:

• Outlet temperature of stream 1 and 2
• Outlet liquid flow
• Outlet vapour flow
• Outlet composition of each phase
• I have equations for enthalpy of each compound also so we can calculate the outlet enthalpy too

ASSUMED KNOWLEDGE:

• I have equations for heat capacity, enthalpy, heat of vaporisation of both compounds (in function format). These take temperature as input
• I have Antoine equations/Raoults law implemented for both compounds (in function format also

I am hoping to get either a reference to an algorithm on how to do this (video, textbook, etc), or the algorithm itself

I am also available at any time to answer any questions.

Any help on this is appreciated