Multiple solutions for the laminar flow in a porous pipe with suction at slowly expanding or contracting wall

DOI10.1016/J.AMC.2011.08.098zbMath1400.76083OpenAlexW2077232076MaRDI QIDQ426384

Xin-xin Zhang, Xin-hui Si, Ying Chao, Jianhong Yang, Min Li, Lian-Cun Zheng

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.098

zbMATH Keywords

series solutionsingular perturbation method

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Related Items (4)

The exterior unsteady viscous flow and heat transfer due to a porous expanding stretching cylinder ⋮ The solutions for the flow of micropolar fluid through an expanding or contracting channel with porous walls ⋮ A numerical study for multiple solutions of a singular boundary value problem arising from laminar flow in a porous pipe with moving wall ⋮ Swirling flow in a permeable tube at slowly expanding and contracting wall

Cites Work

• Flow in a slowly deforming channel with weak permeability: an analytical approach
• The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls
• Exact self-similarity solution of the Navier–Stokes equations for a porous channel with orthogonally moving walls
• Homotopy based solutions of the Navier–Stokes equations for a porous channel with orthogonally moving walls
• On perturbations of Jeffery-Hamel flow
• Asymptotic behaviour of solutions of a similarity equation for laminar flows in channels with porous walls
• Unsteady flows in a semi-infinite contracting or expanding pipe
• Computer extended series solution for unsteady flow in a contracting or expanding pipe
• ON SOME EXPONENTIALLY SMALL TERMS ARISING IN FLOW THROUGH A POROUS PIPE
• Laminar Flow in Channels with Porous Walls

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