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Evaluating the pressure drop across complex Porous Media

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Old   June 12, 2018, 19:23
Default Evaluating the pressure drop across complex Porous Media
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Hi All,

I have a complex rigid solid structure in a channel with low Re(<10) incompressible flow. I intend to find out the the pressure drop across the solid. The domain is shown below :


This being a low Re flow we can apply a darcy type flow relation to evaluate the pressure drop. But unfortunately, the solid body is complex and evolving... so estimating its porosity/permeability is quite difficult.

I intend to use the N-S equation as follows :
\frac{\partial V}{\partial t} + (V.\nabla)V = -\frac{\nabla p}{\rho} + \eta\nabla^2V + g + \alpha10^6 V
here the last term makes the flow zero on the surface and inside the solid. The domain is initialized such that \alpha=0 for liquid and \alpha=1 for solid.

Solid Structure and fluid flow are not coupled. The sequence is as follows
1) The solid structure evolves (very slow)
2) I solve the navier stokes everywhere in the domain untill steady state
3) Next evolution step for solid and repeat with step 2

Could you please help me with understanding the following :
> Is the current form of the equation capturing the physics of the problem. If not how should I approach it
> I might have capillary effects in some regions. How do I handle them
> I intend to use OpenFoam for solving this. What would be a good validation case

thanks for your time.
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Old   November 27, 2020, 19:51
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Utkan Erdem
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How did you solve your problem?
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Old   November 28, 2020, 05:33
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Sayan Bhattacharjee
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Originally Posted by gsabhishek View Post
The domain is shown below :


I don't know the solution to your problem. I wanted to let you know that your link is broken and the dropbox file seems to be deleted.
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darcy flow, incompressible flow, porosity, porous flow

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