Nonlinear Kelvin-Helmholtz instability of two miscible ferrofluids in porous media |
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Authors: | Galal M Moatimid |
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Institution: | (1) Department of Mathematics Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt |
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Abstract: | The nonlinear theory of the Kelvin-Helmholtz instability is employed to analyze the instability phenomenon of two ferrofluids
through porous media. The effect of both magnetic field and mass and heat transfer is taken into account. The method of multiple
scale expansion is employed in order to obtain a dispersion relation for the first-order problem and a Ginzburg–Landau equation,
for the higher-order problem, describing the behavior of the system in a nonlinear approach. The stability criterion is expressed
in terms of various competing parameters representing the mass and heat transfer, gravity, surface tension, fluid density,
magnetic permeability, streaming, fluid thickness and Darcy coefficient. The stability of the system is discussed in both
theoretically and computationally, and stability diagrams are drawn.
Received: July 25, 2002; revised: April 16, 2003 |
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Keywords: | Nonlinear instability multiple scale methods ferrofluids porous media |
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