On Boundary Condition of Vorticity Jump for the Stokes–Brinkman Model

A theorem on the necessity and sufficiency of fulfilling the condition of vorticity jump at the interface for the Stokes–Brinkman model of flow in a homogeneous region with porous inclusions is proven. The quantitative agreement of drag forces calculated by integrating stresses over the surface of a porous body in Stokes and Brinkman models is provided for this condition.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2024-10-01
DOI
https://doi.org/10.1134/s199508022460568x
Primary Topic
Heat and Mass Transfer in Porous Media
Type
article
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article

On Boundary Condition of Vorticity Jump for the Stokes–Brinkman Model

В. Ф. Шарафутдинов, Р. Ф. Марданов, S. K. Zaripov, I. R. Kayumov
Lobachevskii Journal of Mathematics
Heat and Mass Transfer in Porous Media
article

On Boundary Condition of Vorticity Jump for the Stokes–Brinkman Model

В. Ф. Шарафутдинов, Р. Ф. Марданов, S. K. Zaripov, I. R. Kayumov
article en

Abstract

A theorem on the necessity and sufficiency of fulfilling the condition of vorticity jump at the interface for the Stokes–Brinkman model of flow in a homogeneous region with porous inclusions is proven. The quantitative agreement of drag forces calculated by integrating stresses over the surface of a porous body in Stokes and Brinkman models is provided for this condition.

Lobachevskii Journal of MathematicsVol. 45(10)
St Petersburg University (RU), Kazan Federal University (RU), N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences (RU)
Openalex Percentile: Top 71%
Heat and Mass Transfer in Porous Media
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On Boundary Condition of Vorticity Jump for the Stokes–Brinkman Model — В. Ф. Шарафутдинов, Р. Ф. Марданов, et al. · Lobachevskii Journal of Mathematics (2024) | TGRS Research Map | TGRS