- #1

casualguitar

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- TL;DR Summary
- How can the conservation/Navier Stokes equations (mass, momentum,energy) be modified to model two phase flow in a porous media?

Previously, I have seen the derivation of the energy conservation equations for simulation of single phase flow in a porous media (a packed bed). These are the energy equations for the solid and fluid respectively:

I understand the derivation, however, these equations will only work when the fluid flow is single phase. I would like to derive this equation (and likely the mass/momentum equations if necessary), for two phase fluid flow i.e. with a phase change

The mass, momentum, and energy conservation equations:

So this leaves a mass,momentum, and energy balance for the two phase fluid

I have set up a code base that allows calculation of almost any property for a pure fluid or mixture that would be required for this model. So essentially the derivation of the conservation equations are all that are remaining to model this system.

Side note - I am also including this energy conservation equation that was previously flagged as being useful in solving this problem:

I understand the derivation, however, these equations will only work when the fluid flow is single phase. I would like to derive this equation (and likely the mass/momentum equations if necessary), for two phase fluid flow i.e. with a phase change

The mass, momentum, and energy conservation equations:

**The goal**here is to model the phase change of the fluid as it flows through the porous bed.**Requirements**here are to model the temperature of the solid and fluid over time, and to track the phase fronts over time. Inside the phase change segment of the bed I would like to track the quality. I believe the solid energy conservation equation is not affected by the phase change, and we do not need mass/momentum conservation for the solid as it is static.So this leaves a mass,momentum, and energy balance for the two phase fluid

I have set up a code base that allows calculation of almost any property for a pure fluid or mixture that would be required for this model. So essentially the derivation of the conservation equations are all that are remaining to model this system.

**So to the question -**how can I get started with deriving mass/momentum/energy (MME) equations that track the goal parameters? Is this a trivial change to the equations above?Side note - I am also including this energy conservation equation that was previously flagged as being useful in solving this problem: