Conjugate Effect of Heat and Mass Transfer in Natural Convection Flow from an Isothermal Sphere with Chemical Reaction

Abstract

Natural convection flow from an isothermal sphere immersed in a viscous incompressible fluid in the presence of species concentration and chemical reaction has been investigated. The governing boundary layer equations are transformed into a non-dimensional form and the resulting nonlinear system of partial differential equations are reduced to local non-similarity boundary layer equations, which are solved numerically by very efficient implicit finite difference method together with Keller box scheme. Numerical results are presented by velocity, temperature and species concentration profiles of the fluid as well as the local skin-friction coefficients, local heat transfer rate and the local species concentration transfer rate for a wide range of chemical reaction parameter γ (= 0.0; 0.5; 1.0; 2.0; 4.0), buoyancy parameter w (= 0.0; 0.2; 0.6; 1.0), Schmidt number Sc (= 0.7; 10.0; 50.0; 100.0) and Prandtl number Pr (= 0.7; 7.0).