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Abstract
The main concern of the present article is to study steady magnetohydrodynamics (MHD) flow, heat transfer and entropy generation past a permeable rotating disk using a semi numerical/analytical method named Homotopy Analysis Method (HAM). The results of the present study are compared with numerical quadrature solutions employing a shooting technique with excellent correlation in special cases. The entropy generation equation is derived as a function of velocity, temperature and concentration gradients. Effects of flow physical parameters including magnetic interaction parameter, suction parameter, Prandtl number, Schmidt number, Soret and Dufour number on the fluid velocity, temperature and concentration distributions as well as entropy generation number are analysed and discussed in detail. Results show that increasing the Soret number or decreasing the Dufour number tends to decrease the temperature distribution while the concentration distribution is enhanced. The averaged entropy generation number increases with increasing magnetic interaction parameter, suction parameter, Prandtl number, and Schmidt number.
Highlights
Rotating disk flows have received much attention in several industrial and engineering processes
Dufour and Soret effects were assumed to be negligible on heat and mass transfer according to the effects described by Fourier’s and Fick’s laws [2]
When heat and mass transfer happen simultaneously in a moving fluid, the energy flux can be generated by temperature gradients as well as composition gradients
Summary
Rotating disk flows have received much attention in several industrial and engineering processes. Rashidi et al [6] presented an analytical solution for steady magnetohydrodynamics (MHD) convective and slip flow due to a rotating disk in the presence of viscous dissipation and. Osalusi et al [4] studied Soret and Dufour effects on combined heat and mass transfer of steady hydromagnetic convective and slip flow due to a rotating disk in the presence of viscous dissipation and Ohmic heating numerically using a shooting method. Investigated heat and mass transfer and entropy generation for steady laminar non-Newtonian nanofluid flow induced by a stretching sheet in the presence of velocity slip and convective surface boundary conditions using Optimal HAM. The object of this paper is to study the second law of thermodynamics of steady MHD flow over a permeable rotating disk in the presence of Soret and Dufour effects analytically via HAM. The effects of various parameters such as magnetic interaction parameter, suction parameter, Prandtl number, Soret number, Dufour number, and Schmidt number on the fluid velocity, temperature and concentration distributions as well as the averaged entropy generation number are analyzed
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