THE STUDY OF THE ONSET OF RAYLEIGH B??NARD CONVECTION IN A COUPLE-STRESS DIELECTRIC LIQUID

THE STUDY OF THE ONSET OF RAYLEIGH B??NARD CONVECTION IN A COUPLE-STRESS DIELECTRIC LIQUID

The linear analysis of Rayleigh-Benard convection in dielectric couple stress fluid are studied using the Galerkin technique. The effects of six basic non-uniform temperature gradients on the onset of convection are analsysied. The eigenvalue is obtained for free - free velocity boundary combinations with isothermal and adiabatic boundaries. A linear stability analysis is performed. The influence of various parameters on the onset of convection has been analyzed. Six different non-uniform temperature profiles are considered and their comparative influence on onset is discussed. The problem suggests an elegant method of external control of internal convection.

JEMIMA GNANAM SHERYNE

Mathematics