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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2021, Volume 14, Issue 2, Pages 5–16 (Mi vyuru590)  

Mathematical Modelling

Hydrodynamic entrance region in a flat porous channel with a pressure head isothermal laminar flow of a Newtonian medium

A. V. Ryazhskikh, A. V. Nikolenko, D. A. Konovalov, V. I. Rjazhskih, A. V. Keller

Voronezh State Technical University, Voronezh, Russian Federation

Abstract: The problem of the hydrodynamic initial section of an isothermal pressure laminar flow of a Newtonian fluid in a horizontal flat porous channel of semi-infinite length, formulated in the initial-boundary formulation for the Darcy–Brinkman equation with partial consideration of the convective component, provided that the pressure depends only on the axial coordinate, is analytically solved. For a channel without a porous matrix, the results correlate with the classical data. An explicit relation was proposed for calculating the length of the hydrodynamic initial section, which does not contradict the results based on macroscopic boundary layer concepts

Keywords: flat porous channel, pressure head laminar flow, Newtonian fluid, Darcy–Brinkman equation, hydrodynamic initial section.

Funding Agency Grant Number
Russian Foundation for Basic Research 19-38-90114


DOI: https://doi.org/10.14529/mmp210201

Full text: PDF file (310 kB)
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UDC: 621.1.016.4(03)
MSC: 35K60
Received: 01.03.2021

Citation: A. V. Ryazhskikh, A. V. Nikolenko, D. A. Konovalov, V. I. Rjazhskih, A. V. Keller, “Hydrodynamic entrance region in a flat porous channel with a pressure head isothermal laminar flow of a Newtonian medium”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:2 (2021), 5–16

Citation in format AMSBIB
\Bibitem{RyaNikKon21}
\by A.~V.~Ryazhskikh, A.~V.~Nikolenko, D.~A.~Konovalov, V.~I.~Rjazhskih, A.~V.~Keller
\paper Hydrodynamic entrance region in a flat porous channel with a pressure head isothermal laminar flow of a Newtonian medium
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2021
\vol 14
\issue 2
\pages 5--16
\mathnet{http://mi.mathnet.ru/vyuru590}
\crossref{https://doi.org/10.14529/mmp210201}


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