STUDY OF EFFECT OF NON-LINEAR TEMPERATURE PROFILE AND CORIOLIS FORCE ON THE ONSET OF RAYLEIGH-B??NARD- MARANGONI MAGNETO CONVECTION

STUDY OF EFFECT OF NON-LINEAR TEMPERATURE PROFILE AND CORIOLIS FORCE ON THE ONSET OF RAYLEIGH-B??NARD- MARANGONI MAGNETO CONVECTION

The effects of non-linear temperature gradients and rotation on the onset of Rayleigh ?? Benard ?? Marangoni magneto ?? convection in an electric conducting Newtonian fluid are studied using the Galerkin technique. In the case of Rayleigh-Benard convection, the eigenvalue is obtained for free-free, rigid-free and rigid-rigid velocity boundary combinations with isothermal and adiabatic temperature conditions on the boundaries. In the case of Marangoni and Rayleigh-Benard-Marangoni convection the eigenvalues are obtained for an upper free / adiabatic and a lower rigid / isothermal boundaries. A linear stability analysis is performed. The influence of various parameters on the onset of convection has been analyzed. The four non-linear temperature profiles are considered and their comparative influence on onset is discussed.

.R SOWMYA

Mathematics