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Effect of radiation on flow and heat transfer of MHD dusty fluid over a stretching cylinder embedded in a porous medium in presence of heat source. (English) Zbl 1392.76107

Summary: In the framework of the two-phase model, flow of a conducting dusty fluid due to linearly stretching cylinder immersed in a porous media with the effect of radiation is considered. The flow is described in terms of a ’dusty gas’ model proposed by Saffman, which treats the discrete phase (particles) and the continuous phase (fluid) as two continua occupying the same space. Similarity transformations are used to convert the governing partial differential equations corresponding to momentum and energy equations into non-linear coupled ordinary differential equations. Numerical solutions of these equations are obtained using Runge-Kutta Fehlberg fourth-fifth order method and results are illustrated graphically. Comparisons with previously published work are performed and the results are found to be in good agreement. The numerical results for the local skin-friction coefficient and local Nusselt number are also presented.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76S05 Flows in porous media; filtration; seepage
76T15 Dusty-gas two-phase flows
80A20 Heat and mass transfer, heat flow (MSC2010)
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