Enviar artigo por via de e-mail COMPARATIVE ANALYSIS OF THE DARCY AND BRINKMAN APPROXIMATIONS FOR THE TRANSITION TO INSTABILITY IN A POROUS MEDIUM
- Autores: Il’ichev A.1, Tsypkin G.1
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Afiliações:
- Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
- Edição: Volume 508, Nº 1 (2023)
- Páginas: 30-34
- Seção: 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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Resumo
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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Sobre autores
A. Il’ichev
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: ilichev@mi.ras.ru
Russia, Moscow
G. Tsypkin
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: tsypkin@ipmnet.ru
Russia, Moscow
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