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    Thermal radiation effects on magnetohydrodynamic free convection heat and mass transfer from a sphere in a variable porosity regime

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    Type
    Article
    Authors
    Prasad, Vallampati Ramachandra Ramachandra
    Vasu, Buddakkagari
    Bég, Osman Anwar
    Parshad, Rana cc
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2012-02
    Permanent link to this record
    http://hdl.handle.net/10754/562066
    
    Metadata
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    Abstract
    A mathematical model is presented for multiphysical transport of an optically-dense, electrically-conducting fluid along a permeable isothermal sphere embedded in a variable-porosity medium. A constant, static, magnetic field is applied transverse to the cylinder surface. The non-Darcy effects are simulated via second order Forchheimer drag force term in the momentum boundary layer equation. The surface of the sphere is maintained at a constant temperature and concentration and is permeable, i.e. transpiration into and from the boundary layer regime is possible. The boundary layer conservation equations, which are parabolic in nature, are normalized into non-similar form and then solved numerically with the well-tested, efficient, implicit, stable Keller-box finite difference scheme. Increasing porosity (ε) is found to elevate velocities, i.e. accelerate the flow but decrease temperatures, i.e. cool the boundary layer regime. Increasing Forchheimer inertial drag parameter (Λ) retards the flow considerably but enhances temperatures. Increasing Darcy number accelerates the flow due to a corresponding rise in permeability of the regime and concomitant decrease in Darcian impedance. Thermal radiation is seen to reduce both velocity and temperature in the boundary layer. Local Nusselt number is also found to be enhanced with increasing both porosity and radiation parameters. © 2011 Elsevier B.V.
    Citation
    Prasad, V. R., Vasu, B., Bég, O. A., & Parshad, R. D. (2012). Thermal radiation effects on magnetohydrodynamic free convection heat and mass transfer from a sphere in a variable porosity regime. Communications in Nonlinear Science and Numerical Simulation, 17(2), 654–671. doi:10.1016/j.cnsns.2011.04.033
    Publisher
    Elsevier BV
    Journal
    Communications in Nonlinear Science and Numerical Simulation
    DOI
    10.1016/j.cnsns.2011.04.033
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cnsns.2011.04.033
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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