Lie group analysis and similarity solutions for hydro-magnetic Maxwell fluid through a porous medium

DOI10.1186/1687-2770-2012-15zbMath1271.76381OpenAlexW2124914699WikidataQ59271388 ScholiaQ59271388MaRDI QIDQ361632

Khaled S. Mekheimer, Rabea El Shennawy Abo Elkhair, Mostafa Fatouh El-Sabbagh

Publication date: 29 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-15

zbMATH Keywords

MHDporous mediumsimilarity solutionsMaxwell fluidLie point symmetries

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (4)

Lie point symmetries for a magneto couple stress fluid in a porous channel with expanding or contracting walls and slip boundary condition ⋮ Applications of group theoretical methods to non-Newtonian fluid flow models: survey of results ⋮ Lie group analysis of nonlinear inviscid flows with a free surface under gravity ⋮ Lie group analysis for MHD effects on the convectively heated stretching porous surface with the heat source/sink

Cites Work

• New generalized Jacobi elliptic function rational expansion method
• New generalized Jacobi elliptic function expansion method
• Analytic solution for flow of a micropolar fluid
• Group classification of a non-Newtonian fluid model using classical approach and equivalence transformations
• Lie group analysis of creeping flow of a second grade fluid
• A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
• Decay of a potential vortex in a Maxwell fluid
• Similarity solutions for creeping flow and heat transfer in second grade fluids
• Isovector fields and similarity solutions of Einstein vacuum equations for rotating fields
• Fluids of differential type: Critical review and thermodynamic analysis
• Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model.
• A brief note from the editor on the ``second-order fluid

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