Journal
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 74, Issue 4, Pages -Publisher
SPRINGER INT PUBL AG
DOI: 10.1007/s00033-023-02016-7
Keywords
Rough porous wall; Effective boundary condition; Viscous flow; Darcy law; Effective permeability
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The effects of roughness on the Darcy boundary condition for the Stokes system are investigated using rigorous asymptotic analysis and homogenization techniques. By considering a domain with a porous boundary that is periodically oscillating, the effective permeability as a function of roughness is determined.
The effects of roughness on the Darcy boundary condition for the Stokes system are studied using rigorous asymptotic analysis and homogenization techniques. Starting from the Stokes system in domain with porous part of the boundary and assuming that the porous boundary is periodically oscillating, we determine the effective permeability as a function of roughness.
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