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Radiative heat transfer flow of micropolar fluid with variable heat flux in a porous medium. (English) Zbl 1170.76005

Summary: We study numerically a two-dimensional steady convective flow of micropolar fluid past a vertical porous flat plate in the presence of radiation with variable heat flux. 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 heat transfer are also calculated. It is shown that large Darcy parameter leads to decrease in velocity while it increases the angular velocity and temperature of the micropolar fluid. The rate of heat transfer in weakly concentrated micropolar fluids is higher than in strongly conectrated micropolar fluids.

MSC:

76A05 Non-Newtonian fluids
76S05 Flows in porous media; filtration; seepage
80A20 Heat and mass transfer, heat flow (MSC2010)
78A40 Waves and radiation in optics and electromagnetic theory