The unsteady flow of a fourth-grade fluid past a porous plate

DOI10.1016/j.mcm.2004.01.010zbMath1080.76006OpenAlexW2091765169MaRDI QIDQ814190

Abdul Hamid Kara, Tasawar Hayat, Ebrahim Momoniat

Publication date: 6 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2004.01.010

zbMATH Keywords

Lie group methodfifth-order differential equation

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Flows in porous media; filtration; seepage (76S05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (10)

Perturbation solutions for Hagen-Poiseuille flow and heat transfer of third-grade fluid with temperature-dependent viscosities and internal heat generation ⋮ Analytical solutions for unsteady flow of a fourth-grade fluid arising in the metallic wire coating process inside a cylindrical roll die ⋮ Symmetries of boundary layer equations of power-law fluids of second grade ⋮ Closed-form solutions for a nonlinear partial differential equation arising in the study of a fourth grade fluid model ⋮ MHD flow of a third grade fluid in a porous half space with plate suction or injection: an analytical approach ⋮ Blasius flow and heat transfer of fourth-grade fluid with slip ⋮ The influence of Hall current and heat transfer on the flow of a fourth grade fluid ⋮ Applications of group theoretical methods to non-Newtonian fluid flow models: survey of results ⋮ On explicit analytic solution for MHD pipe flow of a fourth grade fluid ⋮ Oscillatory flow of a fourth-order fluid

Uses Software

• DIMSYM
• LIE

Cites Work

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• An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate
• Symmetry analysis of differential equations with MATHEMATICA
• DIMSYM and LIE: Symmetry determination packages
• Exact solutions for some simple flows of an Oldroyd-B fluid
• Hydromagnetic rotating flow of a fourth-order fluid past a porous plate
• FLOW OF A FOURTH GRADE FLUID
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• LIE, a PC program for Lie analysis of differential equations

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