EFFECT OF INTERNAL HEAT GENERATION ON THE ONSET OF RAYLEIGH-B??NARD- MARANGONI MAGNETO CONVECTION IN A HORIZONTAL LAYER OF FLUID WITH SUSPENDED PARTICLES

Title

EFFECT OF INTERNAL HEAT GENERATION ON THE ONSET OF RAYLEIGH-B??NARD- MARANGONI MAGNETO CONVECTION IN A HORIZONTAL LAYER OF FLUID WITH SUSPENDED PARTICLES

Creator

B.N RADHA

Description

The effects of internal heat generation and magnetic field on the onset of Rayleigh-B??nard-Marangoni convection in electrically conducting Micropolar fluid are studied using the Galerkin technique. In the case of Rayleigh??B??nard convection, the eigenvalue is obtained for rigid-free velocity boundary combinations with isothermal and adiabatic on the spin- vanishing boundaries. A linear stability analysis is performed. The influence of various parameters on the onset of convection has been analyzed. In the case of Marangoni and Rayleigh-B??nard-Marangoni convection the eigenvalues are obtained for an upper free / adiabatic and a lower rigid / isothermal boundaries. The microrotation is assumed to vanish at the boundaries. A linear stability analysis is performed. The influence of various parameters on the onset of convection has been analyzed and their comparative influence on onset is discussed. The problem suggests an elegant method of external control of internal convection.

Source

Mathematics

Date

2010