Numerical Study of Temperature Dependent Viscosity and Thermal Conductivity on a Natural Convection Flow over a Sphere in Presence of Magneto Hydrodynamics
Md. M. Alam
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur 1707, Bangladesh.
Rina Begum
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur 1707, Bangladesh.
Mohammad Mahfuzul Islam
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur 1707, Bangladesh.
M. M. Parvez *
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur 1707, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
The objective of this research is to investigate the numerical study of temperature dependent viscosity and thermal conductivity on natural convection flow of an electrically conducting fluid over an isothermal sphere in presence of magneto hydrodynamic. Viscosity is considered variation with temperature and also thermal conductivity is taken as a linear function of temperature. The governing equations are transformed into dimensionless non-similar equations by using set of suitable transformations and solved numerically by finite difference method along with Newton’s linearization approximation. The computational findings for dimensionless velocity profiles, temperature profiles, local skin friction coefficient and local heat transfer coefficient are displayed in graphically and also in tabular forms for different vales of the Prandtl’s number Pr, dependent viscosity parameter ε , dependent thermal conductivity parameter γ and magnetic parameter M .
Keywords: Natural convection, magneto hydrodynamic, temperature dependent viscosity and dependent thermal conductivity.