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 .
