This communication pertains to the study of radiative heat transfer in boundary layer flow over an exponentially shrinking permeable sheet placed at the bottom of fluid saturated porous medium. The porous medium has permeability of specified form. The fluid considered here is Newtonian, without phase change, optically dense, absorbing-emitting radiation but a nonscattering medium. The setup is subjected to suction to contain the vorticity in the boundary layer. The radiative heat flux in the energy equation is accounted by Rosseland approximation. The thermal conductivity is presumed to vary with temperature in a linear fashion. The governing partial differential equations are reduced to ordinary differential equations by similarity transformations. The resulting system of nonlinear ordinary differential equations is solved numerically by fourth-order Runge-Kutta scheme together with shooting method. The pertinent findings displayed through figures and tables are discussed.
The paper pertains to investigations of thermal radiation effects on dissipative magnetohydrodynamic Couette flow of a viscous compressible Newtonian heat-generating fluid in a parallel plate channel whose one wall is stationary and naturally permeable. Saffman' slip condition is used at the clear fluid-porous interface. The fluid is considered to be optically thick and the radiative heat flux in the energy equation is assumed to follow Rosseland approximation. The momentum and energy equations have closed form solutions. The effects of various parameters on thermal regime are analyzed through graphs and tables.
This paper examines radiative thermal regime in dissipative magnetohydrodynamic (MHD) Couette flow in a composite parallel plate channel partially filled with a radiating fluid saturated porous medium and partially filled with a radiating clear fluid. The fluid is considered to be viscous, incompressible, optically dense, electrically conducting, and Newtonian. The radiative heat flux in the energy equation is assumed to follow the Rosseland approximation. Suitable matching conditions are used to match the momentum and thermal regimes in clear fluid and porous regions at the clear fluid-porous interface. The momentum and energy equations have closed form solutions. The effects of various parameters on the system are analyzed through graphs and tables.
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