Email this article COMPARATIVE ANALYSIS OF THE DARCY AND BRINKMAN APPROXIMATIONS FOR THE TRANSITION TO INSTABILITY IN A POROUS MEDIUM
- Authors: Il’ichev A.T.1, Tsypkin G.G.1
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
- Issue: Vol 508, No 1 (2023)
- Pages: 30-34
- Section: МЕХАНИКА
- URL: https://journals.rcsi.science/2686-7400/article/view/135911
- DOI: https://doi.org/10.31857/S2686740023010078
- EDN: https://elibrary.ru/UNLRGO
- ID: 135911
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Abstract
We studied the stability of the evaporation front in a porous media. To describe the flow, the generalized Brinkman equation is used. Comparison of the obtained results with the results found within the framework of the Darcy approximation is presented. It is shown, that the use of the Brinkman approximation eliminates the unboundedness of the perturbation growth rate at small scales arising in the case of Darcy’s law. Interface becomes more stable, and in the case of instability the most unstable mode corresponds to the finite value of the wave number.
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About the authors
A. T. Il’ichev
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Author for correspondence.
Email: ilichev@mi.ras.ru
Russia, Moscow
G. G. Tsypkin
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Author for correspondence.
Email: tsypkin@ipmnet.ru
Russia, Moscow
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