Thermoconvection in magnetized ferrofluids: The influence of boundaries with finite heat conductivity
نویسنده
چکیده
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. PACS: 83.80.Gv Electroand magnetorheological fluids; 47.20.Bp Buoyancydriven instability; 47.20.Ky Nonlinearity (including bifurcation theory); 47.65.+a Magnetohydrodynamics and electrohydrodynamics Typeset using REVTEX 1
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