On a family of differential equations for boundary layer approximations in porous media

DOI10.1017/S0956792501004582zbMath0991.76084OpenAlexW2078220447MaRDI QIDQ2749076

Bernard Brighi, Khalid Taous, Zakaria Belhachmi

Publication date: 28 August 2002

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792501004582

zbMATH Keywords

existenceporous mediumparameterfree convectionwall temperaturevertical flat plateuniquenesboundary layer approximationsautonomous third-order nonlinear equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Flows in porous media; filtration; seepage (76S05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Free convection (76R10)

Related Items

On the solutions of a boundary value problem arising in free convection with prescribed heat flux ⋮ Galerkin-Legendre spectral method for the velocity and thermal boundary layers over a non-linearly stretching sheet ⋮ Concave solutions of a general self-similar boundary layer problem for power-law fluids ⋮ The equation \(f^{{\prime}{\prime}{\prime}}+ff^{{\prime}{\prime}}+g(f^{\prime})=0\) and the associated boundary value problems ⋮ Similarity solutions of MHD flows in a saturated porous medium ⋮ Boundary Value Problems for Third‐Order Nonlinear Ordinary Differential Equations ⋮ Similarity solutions for boundary layer flows with prescribed surface temperature ⋮ On a similarity solution of MHD boundary layer flow over a moving vertical cylinder ⋮ Similarity solutions of a MHD boundary-layer flow past a continuous moving surface ⋮ On the structure of similarity solutions of a differential equation arising from boundary layer problem ⋮ On a similarity boundary layer equation ⋮ Similarity solutions for liquid metal systems near a sharply cornered conductive region ⋮ Closed-form meromorphic solutions of some third order boundary layer ordinary differential equations ⋮ Convex solutions of a general similarity boundary layer equation for power-law fluids ⋮ Existence of positive solutions for a singular third-order two-point boundary value problem on the half-line ⋮ The structure of solutions for a third order differential equation in boundary layer theory ⋮ On the concave and convex solutions of a mixed convection boundary layer approximation in a porous medium