I am working to prepare a model to simulate the pyrolysis of Oil Shale, and I am confused which equation to consider regarding the flow of the generated product through the pores of the Oil Shale. Although Brinkman is an extension of Darcy Equation, I am confused regarding the selection of the governing equations.
The subsurface flow in the hyporheic zone near the streambed is typically described by the Brinkman equations. The Brinkman equations account for fast-moving fluids in porous media with the kinetic potential from fluid velocity, pressure, and gravity driving the flow. These equations extend Darcy’s law to describe the dissipation of the kinetic energy by viscous shear, similar to the Navier-Stokes equations. Therefore, the Brinkman Equations interface is well suited for modeling fast flow in porous media, including transitions between slow flow in porous media governed by Darcy’s law and fast flow in channels described by the Navier-Stokes equations. The Brinkman Equations interface computes both the velocity and pressure.
Ref:
https://www.comsol.com/blogs/which-porous-media-and-subsurface-flow-interface-should-i-use/
Grégoire Martin
Hi, I got to your question by chance. I am not if my answer will help you or not now but at least you have Reynolds number [Re=(rho)(v)(D)/(mu)] that gives you an idea if your flow is Darcian or not. Normally when Re- Badges
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