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Thermal Radiation Effect On Heat And Mass Transfer Across Steady Essay

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Thermal radiation effect on heat and mass transfer across steady MHD flow of power-law nanofluid over a rotating disk

N.T. EL-Dabe1, H.A. Attia2, M.A.I. Essawy3,* , A.A. Ramadan4, A. H. Abdel-Hamid4

1Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Heliopolis, Cairo, Egypt
2Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, 63415, Egypt
3Higher Technological Institute (HTI), 3rd zone, 7th section – P.O Box NO. 4 - 6th of October City, Giza, Egypt
4Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef - 62511, Egypt

Abstract

The steady magnetohydrodynamic flow of an incompressible non-Newtonian power law nanofluid due to a uniform rotation of an infinite disk is studied with heat and mass transfer. The thermal conductivity has been assumed to obey the same nonlinear rheological model of the viscosity function; as well as, the viscous dissipation has been comprised in the energy equation. The governing PDEs are reduced to a set of ODEs; using the generalized Von-Karman similarity transformations; for which finite difference numerical scheme is implemented based on its associated boundary conditions. The influence of the non-Newtonian fluid characteristics on the distributions of fluid velocity components, temperature and concentration of suspended nanoparticles has been analyzed. The significant effects of thermal radiation, Brownian motion and thermophoresis phenomenon on the

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