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

DOI10.1016/j.advengsoft.2010.12.007zbMath1316.76078OpenAlexW1976855857MaRDI QIDQ543896

Yong-Cai Geng, Sumit K. Garg

Publication date: 17 June 2011

Published in: Advances in Engineering Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.advengsoft.2010.12.007

zbMATH Keywords

numerical solutionsnonlinear ordinary differential equationsHAMMHD Jeffery-Hamel flowsnon-parallel walls

Mathematics Subject Classification ID

Related Items (14)

Numerical treatment of nonlinear MHD Jeffery-Hamel problems using stochastic algorithms ⋮ An analytical solution of the MHD Jeffery-Hamel flow by the modified Adomian decomposition method ⋮ A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls ⋮ Numerical solution of higher order boundary value problems ⋮ Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic ⋮ On low Reynolds number optimization of non‐linear partial differential equations for <scp>convergent–divergent</scp> engulfment: A numerical result ⋮ MHD flow of an incompressible viscous fluid through convergent or divergent channels in presence of a high magnetic field ⋮ Unnamed Item ⋮ Solution of the Falkner-Skan wedge flow by HPM-Padé method ⋮ Three weighted residual methods based on Jeffery-Hamel flow ⋮ On MHD flow of an incompressible viscous fluid ⋮ On the optimal auxiliary linear operator for the spectral homotopy analysis method solution of nonlinear ordinary differential equations ⋮ Series solution of nanofluid flow and heat transfer between stretchable/shrinkable inclined walls ⋮ A novel numerical approach for simulating the nonlinear MHD Jeffery-Hamel flow problem

Uses Software

• Ode15s

Cites Work

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• Temporal stability of Jeffery–Hamel flow
• On the spatio-temporal development of small perturbations of Jeffery-Hamel flows
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