Application of homotopy analysis method to solve MHD Jeffery–Hamel flows in non-parallel walls

The MHD Jeffery–Hamel flows in non-parallel walls are investigated analytically for strongly nonlinear ordinary differential equations using homotopy analysis method (HAM). Results for velocity profiles in divergent and convergent channels are presented for various values of Hartmann and Reynolds nu...

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Published inAdvances in engineering software (1992) Vol. 42; no. 3; pp. 108 - 113
Main Authors Moghimi, S.M., Domairry, G., Soleimani, Soheil, Ghasemi, E., Bararnia, H.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2011
Subjects
Channels
Convergence
Differential equations
HAM
Magnetohydrodynamics
Mathematical analysis
Mathematical models
MHD
MHD Jeffery–Hamel flows
Non-parallel walls
Nonlinear ordinary differential equations
Numerical solutions
Walls
Non-parallel walls
HAM
Nonlinear ordinary differential equations
Numerical solutions
MHD Jeffery–Hamel flows
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Summary:The MHD Jeffery–Hamel flows in non-parallel walls are investigated analytically for strongly nonlinear ordinary differential equations using homotopy analysis method (HAM). Results for velocity profiles in divergent and convergent channels are presented for various values of Hartmann and Reynolds numbers. The convergence of the obtained series solutions is explicitly studied and a proper discussion is given for the obtained results. Comparison between HAM and numerical solutions showed excellent agreement.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0965-9978
DOI:10.1016/j.advengsoft.2010.12.007