Numerical study of the effects of radiation on natural convection flow from a porous vertical plate in presence of heat generation

Abstract

III thLSthesis. the effects of laci,;ll;on on m~gne\QhydrodYllamlc(MHD) natural COn\'edlOn flow from a ponllls vel1ica! plate in presence of heat g~neratj(}n has been scrutinized. A set of differenl gOHming equallilns along with the corresponding bound",)' conditions of the physic"1 problems arc represented mathematically. Finite_difference methods occompanied by the Keller box scheme are used for the numerical solution of the governing equations (hat comalll the equations of continuity, momentum and energy equation, arc altered into a set of non.dimeml(lllai boundary layer equotions in conjunction with the cOIT~sponding boundary condllions by 110111th8e appropnate transfonnation. All through the concentration 15paid on the asse,sment of the surface ,!lear stres, in lerms ofloc"l skin friction, rale ()fheat transfer in 1~Ill\S of IQcal l\'usselt numbGr, velocity profi1cs in "dditlOn 10 temperature proli1cs, FORTRAN 90 i, LLlcdto simulale the fOlmulation of!hejob and to get the glaphical QuII'll!of the lluJl\erical \'illu€\ TECPLOT has been used, A collection of parameters set is also taking into aCCOUl1fot r computation consi,ting of heal gener~tiol1 parameter Q, rad,atioll parametel R,,'. ,uriace temperature parameter e." Prandtl number Pr and magnetic parameter M, The result, Ll1tcrms of i()cal skin frictlOn, local Nusselt number will be ohO\\in in tabula!' fOI'I11,. Velocity plofiles, temperature profiles, skin friction coefficient and rate af heat transfer have been exhibited gIaphicJlly lor various ,alue\ of heat generation parameter. radiation par~mC1erand 'lll'j~cetemp"r~tllte parameter ,eparatc1y and the Pmndtl number~, well,