Momentum and Heat Transfer in the Flow of a Viscoelastic Fluid Past a Porous Flat Plate Subject to Suction or Blowing
Authors: Motahar Reza, Anadi Sankar Gupta
Abstract:
An analysis is made of the flow of an incompressible viscoelastic fluid (of small memory) over a porous plate subject to suction or blowing. It is found that velocity at a point increases with increase in the elasticity in the fluid. It is also shown that wall shear stress depends only on suction and is also independent of the material of fluids. No steady solution for velocity distribution exists when there is blowing at the plate. Temperature distribution in the boundary layer is determined and it is found that temperature at a point decreases with increase in the elasticity in the fluid.
Keywords: Viscoelastic fluid, Flow past a porous plate, Heat transfer
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1057925
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[1] D. D. Joseph, Fluid dynamics of Viscoelastic liquids. Springer-Verlag, New York, 1990.
[2] P. N. Kaloni, "Fluctuating flow of an elastico-viscous fluid past a porous flat plate", Physics of Fluids 10, pp. 1344-1346, 1966.
[3] K. R. Rajagopal and A. S. Gupta, "An exact solution for the flow of a non- Newtonian fluid past an infinite porous plate", Meccanica 19, pp.158-160, 1984.
[4] D. W Beard and K. Walters, "Elastico-viscous boundary layer flows", Proc. Cambridge Philos. Soc. Maths. Phys. Sci. 60, pp.667-674, , 1964.
[5] J. G. Oldroyd, "On the formulation of rheological equations of state", Proc. Royal Soc. Londoon ser A 200, 523-541, 1950.
[6] T. Ray Mahapatra and , A. S. Gupta, "Stagnation-point flow of a viscoelastic fluid towards a stretching surface", Int. Journal of Non-linear Mechanics 39, pp.811-820,2004.
[7] R. S. Brodkey, The Phenomena of Fluid Motions. Dover Publications, INC, New York, 1967.