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Influence of slippage in heat and mass transfer for fractionalized MHD flows in porous medium. (English) Zbl 1393.76130

Summary: This paper is devoted to investigate the analytical expressions for mass concentration, temperature and velocity field for free convective flows of fractionalized magnetohydrodynamics viscous fluid in porous medium with slippage. The corresponding general solutions have been perused by employing integral transforms (discrete Laplace transform with inverses) satisfying initial and boundary conditions separately for concentration, temperature and velocity field of fluid. Expressions of concentration, temperature and velocity field have been presented in terms of newly defined generalized \(M^p_q(z)\) function. Fractionalized solutions have been converted into ordinary solutionsby replacing integer order time derivative along with special cases. The impacts of mass diffusion, thermal radiation and pertinent rheological and fractionalized parameters have been depicted by graphical illustrations.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76S05 Flows in porous media; filtration; seepage
80A20 Heat and mass transfer, heat flow (MSC2010)
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