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EN
In this paper, the effects of radiation (Rosseland model) on the flow of an incompressible fluid over a vertical flat sheet near the stagnation point with internal heat absorption or generation is studied. The similarity variables are used to transform the problem under consideration into a boundary value problem of nonlinear coupled ordinary differential equations containing the Prandtl number and heat source/sink parameter, which are solved, numerically by using the finite-difference method with appropriate boundary conditions. Numerical results are given for various values of dimensionless parameters of the problem. A comparison of numerical results is made with the earlier published results under the limiting cases. The effects of physical parameters on temperature and the local Nusselt number are discussed in detail. The results show that increasing the internal heat generation/absorption parameter increases the thermal boundary layer thickness and similar effects are seen for increasing the radiation parameter and wall temperature.
EN
An improved numerical study on mixed convection from a heated vertical plate embedded in a Newtonian fluid saturated sparsely packed porous medium is undertaken by considering the variation of permeability, porosity and thermal conductivity. The boundary layer flow in the porous medium is governed by the Lapwood-Forchheimer-Brinkman extended Darcy model. Similarity transformations are employed and the resulting ordinary differential equations are solved numerically by using a shooting algorithm with the Runge-Kutta-Fehlberg integration scheme to obtain velocity and temperature distributions. Besides, the skin friction and Nusselt number are also computed for various physical parameters governing the problem under consideration. It is found that the inertial parameter has a significant influence on decreasing the flow field, whereas its influence is reversed on the rate of heat transfer for all values of permeability parameter considered. Further, the results under the limiting conditions were found to be in good agreement with the existing ones.
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