Fluid flow in porous media depends on shear rate and shear stress. The effective viscosity of the fluid can be determined using Darcy's law. We know that shear rate and shear stress varies along radial direction during the flow of fluid in a pipe. Do we have any similar method to determine the variation of shear rate and shear stress in porous media?
Dear Takshak Shende :
To be honest I don't know about Fluid Flow on porous media, but I recommend you to try to simulate this scenario in COMSOL first, or any other CFD simulation software you can get access to. This will give you pretty good insights of the continuous medium phenomena happening here.
Good Luck !
Both depend on the expected velocity profile. Shear rate is directly obtained by the derivative, while you have to multiply by viscosity in order to obtain the stress.
You may have to have a unique CV. Also you may assume a linear velocity profile as a good approximation. Good luck
Dear Takshak Shende
Please refer to the link for the solution of your query.
https://www.sciencedirect.com/science/article/abs/pii/S0096300311011003
We made an attempt to address the above question. More details can be found in the following paper.
- Shende, T., Niasar, V. & Babaei, M. Upscaling non-Newtonian rheological fluid properties from pore-scale to Darcy’s scale. Chem. Eng. Sci. 239, (116638)) 1–14 (2021),
Article Upscaling non-Newtonian rheological fluid properties from po...
The paper discusses how to determine the representative values for viscosity, shear rate and shear stress of Newtonian as well as non-Newtonian fluid (inelastic and viscoelastic) in a porous medium.
A small matter in the scheme of things..... in the question you have mixed singular and plural. It should end with either, "in a porous medium" or "in porous media". This grammatical error is very widespread indeed and about 1/3rd of papers that I review have the error. Perhaps this is because one hears "the news media" being treated as a single group.
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