Amplitude equation for stationary convection in a rotating viscoelastic magnetic fluid

D. Laroze - L. M. Pérez - J. Bragard - E. G. Cordaro - J. Martinez-Mardones

Max Planck Institute for Polymer Research, D 55021 Mainz, Germany }{ Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile }{ Departamento de F\'{i}sica y Matemática Aplicada, Universidad de Navarra, 31080 Pamplona, Spain }{ Departamento de F\'{i}sica, FCFM, Universidad de Chile, Casilla 487 D3, Santiago, Chile }{ Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaíso, Chile

Abstract
We report both theoretical and numerical results on convection for a magnetic fluid under rotation in a viscoelastic carrier liquid. The viscoelastic properties are given by the Oldroyd model. We focus on the stationary convection for idealized boundary conditions. Close to the first bifurcation, the coefficients of the corresponding amplitude equation are determined. The effect of the Kelvin force and of the rotation on instability thresholds for a diluted suspension are also emphasized. Figs 1, Refs 17.