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Thermoconvection in magnetized ferrofluids: the influence of boundaries with finite heat conductivity

A. Recktenwald·M. Luecke
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Abstract

Realistic boundaries of finite heat conductivity Realistic boundaries of finite heat conductivity for thermoconvection in a Rayleigh-Bénard setup with magnetized ferrofluids are investigated. A linear stability analysis of the conductive state is performed with a shooting method. It shows that the critical wave number is for any magnetic field stronly influenced by the conductivity of the boundaries. Linear as well as nonlinear coefficients of a Ginzburg Landau amplitude equation for convection shortly above the onset are evaluated as functions of the magnetic Rayleigh number, the boundary conductivities, and the fluid Prandtl number.

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A. Recktenwald, M. Luecke. 1998-10-23. Thermoconvection in magnetized ferrofluids: the influence of boundaries with finite heat conductivity. https://doi.org/10.1016/s0304-8853(98)00185-1

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