A note on Mellin-Fourier integral transform technique to solve Stokes' problem analogue to flow through a composite layer of free flow and porous medium

DOI10.1016/j.jmaa.2019.123578zbMath1425.76062OpenAlexW2980126656WikidataQ127082733 ScholiaQ127082733MaRDI QIDQ2009307

Tufan Ghosh, G. P. Raja Sekhar

Publication date: 28 November 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123578

zbMATH Keywords

exact solutionmushy layerglycocalyxMellin-Fourier integral transformStokes' problems

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Cell biology (92C37) Physiological flows (76Z05) Physiological flow (92C35)

Related Items (3)

Analysis of Brinkman-Forchheimer extended Darcy's model in a fluid saturated anisotropic porous channel ⋮ Couette-Poiseuille flow in a fluid overlying an anisotropic porous layer ⋮ Physics of unsteady Couette flow in an anisotropic porous medium

Cites Work

• Complete solutions to extended Stokes' problems
• Extended Stokes' problems for relatively moving porous half-planes
• Momentum transfer at the boundary between a porous medium and a homogeneous fluid. I: Theoretical development. II: Comparison with experiment
• A note on an unsteady flow of a viscous fluid due to an oscillating plane wall
• The effect of the endothelial glycocalyx layer on concentration polarisation of low density lipoprotein in arteries
• Effect of the endothelial glycocalyx layer on arterial LDL transport under normal and high pressure
• On the Boundary Condition at the Surface of a Porous Medium
• Stokes problems for moving half-planes
• Interfacial conditions between a pure fluid and a porous medium: implications for binary alloy solidification
• The transient for Stokes's oscillating plate: a solution in terms of tabulated functions
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