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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v34.i6.40
pages 521-534

Effects of Wall Conductance on MHD Fully Developed Flow with Asymmetric Heating of the Wall

Mrinmoy 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
Rabindra N. Jana
Department of Applied Mathematics, Vidyasagar University, Midnapore-721 102, West Bengal, India
S. K. Ghosh
Department of Mathematics, Narajole Raj College, Narajole, District - Midnapore (West)-721211, West Bengal, India

ABSTRAKT

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.


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