The Nonlinear Stability of Mass and Heat Transfer in Magnetic Fluids

DOI10.1002/ZAMM.19970770104zbMath0899.76186OpenAlexW2040711106MaRDI QIDQ4361942

Abdel Raouf F. Elhefnawy

Publication date: 9 November 1998

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19970770104

zbMATH Keywords

two superposed fluidsnonlinear Schrödinger equationstability criterianonlinear diffusion equationnonlinear Ginzburg-Landau equationmethod of multiple scale expansionweakly nonlinear dispersive waveslinearised magnetic field

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Related Items (6)

Magnetoviscous potential flow analysis of Kelvin-Helmholtz instability with heat and mass transfer ⋮ Viscous potential flow of electrohydrodynamic Kelvin-Helmholtz instability through two porous layers with suction/injection effect ⋮ Electroviscous potential flow in nonlinear analysis of capillary instability ⋮ Electrohydrodynamic linear stability of finitely conducting flows through porous fluids with mass and heat transfer ⋮ Nonlinear dynamics of magnetic fluids with a relative motion in the presence of an oblique magnetic field ⋮ Nonlinear temporal dynamics in magnetic fluids between undulatory parallel walls.

Cites Work

• The Rayleigh–Taylor instability in magnetic fluids and nonlinear interfacial waves
• Solutions of the Ginzburg-Landau Equation of Interest in Shear Flow Transition
• Nonlinear Propagation of Wave-Packets on Fluid Interfaces

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