Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (6): 731-748.doi: https://doi.org/10.1007/s10483-012-1583-7

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Computational study of combined effects of conduction-radiation and hydromagnetics on natural convection flow past magnetized permeable plate

M. ASHRAF1, S. ASGHAR2, M. A. HOSSAIN3   

  1. 1. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan;
    2. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    3. Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
  • 收稿日期:2011-06-15 修回日期:2011-12-28 出版日期:2012-06-10 发布日期:2012-06-10

Computational study of combined effects of conduction-radiation and hydromagnetics on natural convection flow past magnetized permeable plate

M. ASHRAF1, S. ASGHAR2, M. A. HOSSAIN3   

  1. 1. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan;
    2. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    3. Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
  • Received:2011-06-15 Revised:2011-12-28 Online:2012-06-10 Published:2012-06-10
  • Contact: M. ASHRAF E-mail:mashraf682003@yahoo.com

摘要: The computational study of the combined effects of radiation and hydro- magnetics on the natural convection flow of a viscous, incompressible, and electrically conducting fluid past a magnetized permeable vertical plate is presented. The governing non-similar equations are numerically solved by using a finite difference method for all values of the suction parameter ζ and the asymptotic solution for small and large values of ζ. The effects of varying the Prandtl number Pr, the magnetic Prandtl number Prm, the magnetic force parameter S, the radiation parameter Rd, and the surface temperature θw on the coefficients of the skin friction, the rate of heat transfer, and the current density are shown graphically and in tables. An attempt is made to examine the effects of the above mentioned physical parameters on the velocity profile, the temperature distribution, and the transverse component of the magnetic field.

Abstract: The computational study of the combined effects of radiation and hydro- magnetics on the natural convection flow of a viscous, incompressible, and electrically conducting fluid past a magnetized permeable vertical plate is presented. The governing non-similar equations are numerically solved by using a finite difference method for all values of the suction parameter ζ and the asymptotic solution for small and large values of ζ. The effects of varying the Prandtl number Pr, the magnetic Prandtl number Prm, the magnetic force parameter S, the radiation parameter Rd, and the surface temperature θw on the coefficients of the skin friction, the rate of heat transfer, and the current density are shown graphically and in tables. An attempt is made to examine the effects of the above mentioned physical parameters on the velocity profile, the temperature distribution, and the transverse component of the magnetic field.

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