Analysis of Steady Flow in a Channel with One Porous Wall, or with Accelerating Walls

DOI10.1137/0151021zbMath0726.76035OpenAlexW2033670086MaRDI QIDQ3348593

Stephen M. Cox

Publication date: 1991

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0151021

zbMATH Keywords

filtrationinjectionBerman problemporous wallsteady two-dimensional flowbiological transport processesboundary separation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05)

Related Items (15)

Similarity solutions of steady flows in a channel with accelerating walls ⋮ Extensional channel flow revisited: a dynamical systems perspective ⋮ Heat transfer in laminar viscous flow in a channel with one porous wall ⋮ Stokes flow solutions in infinite and semi‐infinite porous channels ⋮ Review of similarity stretching exact solutions of the Navier-Stokes equations ⋮ Mathematical modeling and numerical solution of cross‐flow of non‐Newtonian fluid: Effects of viscous dissipation and slip boundary conditions ⋮ Numerical study of asymmetric laminar flow of micropolar fluids in a porous channel ⋮ Large‐Reynolds‐Number Asymptotics of the Berman Problem ⋮ Self‐Similar “Stagnation Point” Boundary Layer Flows with Suction or Injection ⋮ Linear stability of a Berman flow in a channel partially filled with a porous medium ⋮ Numerical simulation of flow of micropolar fluids in a channel with a porous wall ⋮ On the interior layer appearing in the similarity solutions of the Navier-Stokes equations ⋮ Effect of slip on existence, uniqueness, and behavior of similarity solutions for steady incompressible laminar flow in porous tubes and channels ⋮ Numerical solution of steady viscous flow of a micropolar fluid driven by injection between two porous disks ⋮ Asymptotic solutions on multiple solutions arising from laminar flow in a uniformly porous channel with expanding or contracting walls

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