Numerical Study of Dependent Viscosity and Dependent Thermal Conductivity on a Natural Convection Flow over a Sphere in Presence of Heat Generation
Md. M. Alam
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur, Bangladesh.
Rina Begum
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur, Bangladesh.
Raihanul Haque
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur, Bangladesh.
M. M. Parvez *
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
The objective of this research is to investigate the conjugate effects of dependent viscosity and dependent thermal conductivity on natural convection flow of an electrically conducting fluid over an isothermal sphere with heat generation. Viscosity is considered to be variation and also thermal conductivity is taken as a linear function of temperature. The governing equations are solved numerically by numerical solution strategy as per requirement and suitability. Solution method such as finite difference method with keller box scheme has been employed. The computational findings for dimensionless velocity profiles, temperature profiles, local skin friction coefficient and local heat transfer coefficient are displayed graphically.
Keywords: Heat generation, dependent viscosity, dependent thermal conductivity, Prandtl’s number.