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International Journal of Fluid Mechanics Research

 

ISSN for PRINT: 1064-2277

Institutional price:

$1811.00

Issues per year:

6

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2007, Volume34

Issue 6

  107 pages  

DOI: 10.1615/InterJFluidMechRes.v34.i6   

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Issue price - $335.00  

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  • Effects of Wall Conductance on MHD Fully Developed Flow with Asymmetric Heating of the Wall
  • M. Guria
    Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721102, West Bengal, India

    B. K. Das
    Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721102, West Bengal, India

    R. N. Jana
    Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721102, West Bengal, India

    S. K. Ghosh
    Department of Mathematics, Narajole Raj College, Narajole, District - Midnapore (West)-721211, West Bengal, India


    ABSTRACT

    Effect of wall conductance on hydromagnetic fully developed flow of a viscous incompressible electrically conducting fluid through a vertical channel, is studied. The generalized similarity solutions for velocity and induced magnetic field are obtained in a closed form. Limiting case of a MHD forced and free convection are analyzed with regard to non-conducting as well as perfectly conducting walls. A limiting consideration of a MHD mixed convection flow confined to non-conducting as well as perfectly conducting walls are analyzed for rT = 1 and M << 1. It is interesting to note that since the rate of flow is constant, the critical Grashof number at the cold and hot wall becomes identical. This indicates that the rate of flow is influenced by spanwise temperature variations along the cold and hot wall and the buoyancy force is balanced by the constant rate of flow.

    DOI: 10.1615/InterJFluidMechRes.v34.i6.40

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