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Rigorous derivation of the Darcy boundary condition on the porous wall
  • Eduard Marusic-Paloka
Eduard Marusic-Paloka
University of Zagreb

Corresponding Author:[email protected]

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Viscous flow through a reservoir with porous boundary is studied via rigorous asymptotic analysis. Under the assumption of periodicity of the pores, the effective boundary condition of the Darcy type is derived, using homogenization and boundary layer techniques. Further asymptotic analysis with respect to the porosity yields a recursive sequence of boundary value problems showing that the large pressure jump occurs on the boundary.
13 Dec 2020Submitted to Mathematical Methods in the Applied Sciences
15 Dec 2020Submission Checks Completed
15 Dec 2020Assigned to Editor
08 Mar 2022Reviewer(s) Assigned
29 Nov 2022Review(s) Completed, Editorial Evaluation Pending
29 Nov 2022Editorial Decision: Revise Minor
30 Nov 20221st Revision Received
01 Dec 2022Submission Checks Completed
01 Dec 2022Assigned to Editor
01 Dec 2022Review(s) Completed, Editorial Evaluation Pending
01 Dec 2022Reviewer(s) Assigned
20 Jan 2023Editorial Decision: Accept