The Open Aerospace Engineering Journal

2010, 3 : 59-64
Published online 2010 October 13. DOI: 10.2174/1874146001003010059
Publisher ID: TOAEJ-3-59

Combined Effect of Non-Uniform Temperature Gradient and Magnetic Field on Bénard-Marangoni Convection with a Constant Heat Flux

Siti Suzilliana Putri Mohamed Isa , Norihan Md. Arifin , Roslinda Mohd Nazar and Mohd Noor Saad
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia.

ABSTRACT

This paper studied the problem of Bénard-Marangoni convection in a horizontal fluid layer heated from below with non-uniform temperature gradient under magnetic field. A linear stability analysis is performed to undertake a detail investigation. The eigenvalues are obtained for both adiabatic boundaries. The influence of various parameters on the onset of convection has been analyzed. Six non-uniform basic temperature profiles are considered and some general conclusions about their destabilizing effects are presented.

Keywords:

Bénard-Marangoni Convection, magnetic field, non-uniform temperature.