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

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

1998-10-23

arxiv.org/abs/patt-sol/9810008v1

J. Magn. Magn. Mater. 188, 326 - 332 (1998)

Nonlinear Sciences

Pattern Formation and Solitons

10 pages, 9figures

Scientific paper

10.1016/S0304-8853(98)00185-1

Realistic boundaries of finite heat conductivity Realistic boundaries of finite heat conductivity for thermoconvection in a Rayleigh-B\'enard 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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