Stagnation flows for the Oldroyd-B fluid |
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Authors: | N Phan-Thien |
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Institution: | (1) Department of Mechanical Engineering, The University of Sydney, 2006 Sydney, N.S.W., Australia |
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Abstract: | Exact solutions to the plane and axi-symmetric stagnation flows of an Oldroyd-B fluid are reported. It is found that a steady flow is possible if the Weissenberg numberWi, defined by the product of the Maxwellian relaxation time and the shear rate at infinity, satisfies – 1/2 <Wi < 1/m, wherem = 1 in an axisym-metric flow andm = 2 in a plane flow. Furthermore, the fluid elasticity always decreases the boundary-layer thickness. An Oldroyd-B fluid with the parameters matched those of a typical Boger fluid behaves essentially like a Newtonian fluid in a stagnation flow. |
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Keywords: | Stagnation flow Oldroyd-B fluid boundary-layer thickness |
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