Numerical study of radiation on natural convection flow on a sphere with heat generation

Abstract

In this thesis, the eITecL~of radiation on natura! convection now on a sphere in presence of heat generation and the effects of radiation on magnctohydmdynamie (MHO) natural convection now on a sphere in presence of heat generation have been investigated. "11le physical problems are represented mathematically by different sets of governing equations along with the corresponding boUlldary conditions. Using the appropriate transformation, the governing equations containing the equations of continuity, momentum and energy are transformed into a set of non-dimensional boundary layer equations along with the corresponding boundary conditions, which are then solved numerically using finitcdifference method together with the Keller box scheme. Here, the attention is focused on the evaluation of the surface shear stress in terms of local skin friction, rate of heat transfer in terms of local Nusselt number, velocity profiles as well as temperature profiles. The software FORJRAN 90 is used to perlbnu computational job and the po~1;processing software TECHPLOT has been used to w,-play the numerical results graphically. A selection of parameters set is also considered for computation consisting of heat generation pummeter Q, radiation parameter Rd, surface temperature parameter Bw, Prandtl number Pr and magnetic parameter M. The results in tenus of local skin friction, local Nussclt number will he shown in tabular fonus. Velocity profiles, temperature profiles. skin friction coefficient and rate of heat transfer have been displayed graphically for variuus values of heat generation parameteT, radiation parameter and surfllce temperature parameter sepurlltely and the Prandtl number as well .