Thermoconvection in magnetized ferrofluids: the influence of boundaries with finite heat conductivity
arXiv:patt-sol/9810008 · doi:10.1016/S0304-8853(98)00185-1
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.
arXiv comment10 pages, 9figures