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Simultaneous partial slip and thermal-diffusion and diffusion-thermoeffects on steady MHD convective flow due to a rotating disk. (English) Zbl 1419.76712

Summary: The purpose of present research is to derive analytical expressions for the solution of steady MHD convective and slip flow due to a rotating disk. Viscous dissipation and Ohmic heating are taken into account. The nonlinear partial differential equations for MHD laminar flow of the homogeneous fluid are reduced to a system of five coupled ordinary differential equations by using similarity transformation. The derived solution is expressed in series of exponentially-decaying functions using homotopy analysis method (HAM). The convergence of the obtained series solutions is examined. Finally some figures are sketched to show the accuracy of the applied method and assessment of various slip parameter \(\gamma \), magnetic field parameter \(M\), Eckert \(Ec\), Schmidt \(Sc\) and Soret \(Sr\) numbers on the profiles of the dimensionless velocity, temperature and concentration distributions. Validity of the obtained results are verified by the numerical results.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76U05 General theory of rotating fluids
76R05 Forced convection
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
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