Heat transfer in oblique stagnation-point flow of an incompressible viscous fluid towards a stretching surface |
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Authors: | T. Ray Mahapatra S. Dholey A. S. Gupta |
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Affiliation: | (1) Department of Mathematics, Visva-Bharati, Santiniketan, 731 235, India;(2) Department of Mathematics, T.D.B. College, Raniganj, 713 347, India;(3) Department of Mathematics, IIT, Kharagpur, 721 302, India |
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Abstract: | Steady two-dimensional oblique stagnation-point flow of an incompressible viscous fluid over a flat deformable sheet is investigated when the sheet is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. It is shown that the flow has a boundary layer structure for values of a/c (> 1), where ax+2by and cx are the x-component of the free stream velocity and the stretching velocity of the plate respectively, x being the distance from the stagnation-point. On the other hand when a/c < 1, the flow has an inverted boundary layer structure. It is also observed that the velocity at a point increases with increase in the free stream shear. For a fixed value of a/c, the streamlines becomes more and more oblique towards the left of the stagnation-point with increase in b/c where b > 0. On the other hand the streamlines become increasingly oblique to the right of the stagnation-point with increase in |b/c| when b < 0. For a fixed value of the Prandtl number Pr, temperature at a point decreases with increase in a/c. Further for a given value of a/c, the surface heat flux increases with increase in Pr. |
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