Abstract
A two-dimensional steady convective flow of a micropolar fluid past a vertical porous flat plate in the presence of radiation with variable heat flux has been analyzed numerically. Using Darcy-Forchheimer model the corresponding momentum, microrotation and energy equations have been solved numerically. The local similarity solutions for the flow, microrotation and heat transfer characteristics are illustrated graphically for various material parameters. The effects of the pertinent parameters on the local skin friction coefficient, plate couple stress and the heat transfer are also calculated. It was shown that large Darcy parameter leads to decrease the velocity while it increases the angular velocity as well as temperature of the micropolar fluids. The rate of heat transfer in weakly concentrated micropolar fluids is higher than strongly concentrated micropolar fluids.
Highlights
A micropolar fluid is the fluid with internal structures in which coupling between the spin of each particle and the macroscopic velocity field is taken into account
The present work generalized the problem of heating effects on a boundary layer of a micropolar fluid over the porous plate with variable heat flux in the presence of radiation
The case γ ≫ 1 corresponds to free convection, γ = 1 corresponds to mixed convection and γ ≪ 1 corresponds to forced convection
Summary
A micropolar fluid is the fluid with internal structures in which coupling between the spin of each particle and the macroscopic velocity field is taken into account. Rahman and Sattar [12] studied magnetohydrodynamic convective flow of a micropolar fluid past a vertical porous plate in the presence of heat generation/absorption. El-Arabawy [17] studied the effect of suction/injection on a micropolar fluid past a continuously moving plate in the presence of radiation. Rahman and Sattar [19] studied transient convective heat transfer flow of a micropolar fluid past a continuously moving vertical porous plate with time dependent suction in the presence of radiation. In the present work we investigate the thermal radiation interaction of the boundary layer flow of micropolar fluid past a heated vertical porous plate embedded in a porous medium with variable suction as well as heat flux at the plate. The local similarity solutions are obtained numerically for various parameters entering into the problem using shooting method and discussed the results from the physical point of view
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