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

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v33.i4.20
pages 320-333

Three-Dimensional Free Convection Flow and Heat Transfer Past a Vertical Channel

Mrinmoy Guria
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

RÉSUMÉ

An analysis is made on the three dimensional flow of viscous incompressible fluid past a vertical channel in the presence of a uniform injection on the right plate and the left plate to a periodic suction velocity distribution. The velocity and temperature field have been derived using perturbation technique. It is found that the primary velocity increases near the left plate and decreases near the right plate with increase in Reynolds number while it increases with increase in Grashof number. It is seen that the shear stress due to main flow increases with increase in either Grashof number or Reynolds number but decreases with increase in Prandtl number. Also the magnitude of the shear stress due to cross flow increases with increase in Reynolds number. It is seen that the temperature profile decreases with increase in either Prandtl number or Reynolds number. The rate of heat transfer in terms of Nusselt number has also been studied.


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