RADIATION EFFECT ON FREE CONVECTION LAMINAR FLOW FROM AN ISOTHERMAL SPHERE |
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Authors: | Md Mamun Molla Md Anwar Hossain Sadia Siddiqa |
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Affiliation: | 1. Department of Mechanical and Manufaturing Engineering , University of Manitoba , Wnnipeg, Canada molla@cc.umanitoba.ca;4. mmamun@gmail.com;5. Department of Mathematics , COMSATS Institute of Information Technology , Islamabad, Pakistan |
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Abstract: | Natural convection laminar flow from an isothermal sphere immersed in a viscous incompressible optically dense fluid in the presence of radiation effects has been investigated. The governing boundary layer equations are transformed into a non dimensional form and the resulting nonlinear systems of partial differential equations are reduced to local non-similarity boundary layer equations, which are solved numerically by two distinct, efficient methods, namely, (i) implicit finite difference method together with the Keller box scheme and (ii) local non-similarity method. Numerical results of the velocity and temperature profiles of the fluid are presented. The results of the shearing stress and the heat transfer rate in terms of skin-friction coefficient and Nusselt number respectively are also presented for a wide range of the radiation-conduction parameter or Planck number R d (=0.0, 1.0, 2.0, 3.0), the surface heating parameter θ w (=1.1, 1.2, 1.4), and Prandtl number Pr (=7.0, 10.0, 15.0, 20.0). |
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Keywords: | Natural convection Nonlinear system Radiation-conduction Rate of heat transfer Skin-friction coefficient Sphere |
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