Radiative effects on magnetohydrodynamic natural convection flows saturated in porous media |
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| Institution: | 1. Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt;2. Mathematics Department, Faculty of Science, South Valley University, Aswan, Egypt;1. Drug Delivery Research Unit, Department of Pharmaceutics, University of Nigeria, Nsukka, Enugu State, Nigeria;2. Department of Drug Delivery, Helmholtz Institute for Pharmaceutical Research Saarland (HIPS), Helmholtz Center for Infection Research, Saarland University, Saarbrücken, Germany;3. PharmBioTec GmbH, Saarbrücken, Germany;4. Department of Biopharmaceutics and Pharmaceutical Technology, Saarland University, Saarbrücken, Germany;1. School of Engineering, Department of Civil and Environmental Engineering, Shiraz University, Shiraz, Iran;2. Department of Bioresource Engineering, Faculty of Agricultural and Environmental Sciences, McGill University, Canada |
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| Abstract: | A boundary layer solution is presented to study the effects of joule heating on magnetohydrodynamic natural convection flow. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. Four different cases of flows have been studied namely an isothermal surface, a uniform heat flux surface, a plane plume and flow generated from—a horizontal line energy source a vertical adiabatic surface. Numerical results presented for the perturbation analysis four boundary conditions with various parameters are tabulated. |
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