Temporal stability of small disturbances in MHD Jeffery-Hamel flows

DOI10.1016/j.camwa.2006.06.014zbMath1175.76061OpenAlexW2088078381MaRDI QIDQ2469922

P. Y. Mhone, Oluwole Daniel Makinde

Publication date: 11 February 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.06.014

zbMATH Keywords

eigenvalue problemOrr-Sommerfeld equationspectral methodMHD Jeffery-Hamel flowsmall disturbances stability

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Related Items (13)

Jeffery-Hamel flow of non-Newtonian fluid with nonlinear viscosity and wall friction ⋮ Magnetohydrodynamic stability of pressure-driven flow in an anisotropic porous channel: accurate solution ⋮ A note on improved homotopy analysis method for solving the Jeffery-Hamel flow ⋮ Stability of Poiseuille flow in an anisotropic porous layer with oblique principal axes: More accurate solution ⋮ Numerical and analytical approaches to MHD Jeffery‐Hamel flow in a porous channel ⋮ A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem ⋮ Analytical approximate solution of nonlinear differential equation governing Jeffery-Hamel flow with high magnetic field by Adomian decomposition method ⋮ Numerical investigation of electrohydrodynamic instability in a vertical porous layer ⋮ Linear and weakly nonlinear magnetoconvection in a porous medium with a thermal nonequilibrium model ⋮ Magnetohydrodynamic (MHD) flows of viscoelastic fluids in converging/diverging channels ⋮ Series solution of nanofluid flow and heat transfer between stretchable/shrinkable inclined walls ⋮ Unnamed Item ⋮ Effect of arbitrary magnetic Reynolds number on MHD flows in convergent‐divergent channels

Cites Work

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• Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
• Magneto-hydrodynamic stability of plane Poiseuille flow using multideck asymptotic technique
• Laminar flow in symmetrical channels with slightly curved walls, I. On the Jeffery-Hamel solutions for flow between plane walls
• On perturbations of Jeffery-Hamel flow
• The stability of the modified plane Poiseuille flow in the presence of a transverse magnetic field
• The stability of the modified plane couette flow in the presence of a transverse magnetic field
• On the spatio-temporal development of small perturbations of Jeffery-Hamel flows
• Flow through a diverging channel: instability and bifurcation

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