Some problems on flows of electrically conducting and non conducting fluids

Abstract

A radiative second grade fluid flow through a saturated porous medium over a semiinfinite newlinestretching sheet subjected to power law temperature distribution and heat flux in a newlineunbounded domain is investigated. Further, a non-Darcy mixed convective flow of non- newlineNewtonian fluid past a vertical bounding surface subjected to power law variation of wall newlinetemperature in the presence of volumetric heat source (thermal power) is also discussed. A newlineflow problem relating to polar fluid within a annular region with varying surface temperature/ newlineheat flux has been considered also. A steady two dimensional flow of a micropolar fluid on a newlinedeformable surface is of another interest. In addition to above aspects, flow of chemically newlinereacting as well as electrically conducting Casson fluid on a permeable stretching sheet has newlinealso been analysed. To sum up, the present thesis deals with flow problems of polar, newlinemicropolar, Casson fluid and second grade fluid on permeable/ deformable surfaces when the newlinesurfaces are subjected to temperature variations. The objectives of the analysis are to bring newlineout the effects of pertinent parameters which characterize the flow, heat and mass transfer newlinephenomenae affecting the physical variables such as velocity, temperature, concentration and newlinesurface criteria i.e. skin friction and Nusselt number etc. in response to radiative heat transfer newlineelectromagnetic/ mechanical force and permeability of the medium. Most importantly, the newlinerheological property of the fluid model is investigated in the analysis. The research newlinemethodology that leads to formulate the flow model which results in a set of nonlinear newlinecoupled partial differential equations with prescribed boundary conditions. Analytical and newlinenumerical methods such as confluence hypergeometric functions (Kummer s functions) and newlineRunge-Kutta method with shooting technique have been applied to solve the boundary value newlineproblems (BVP). Some important findings are laid down as follows. The applied transverse newlinemagnetic field prevents the growth of the boundary layer