Analytical solutions for non-Newtonian fluid flows in pipe-like domains |
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Authors: | Constantin Fetecau |
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Affiliation: | Department of Mathematics, “Gh. Asachi” Technical University, Iasi 6600, Romania |
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Abstract: | This paper deals with some unsteady unidirectional transient flows of an Oldroyd-B fluid in unbounded domains which geometrically are axisymmetric pipe-like. An expansion theorem of Steklov is used to obtain exact solutions for flows satisfying no-slip boundary conditions. The well known solutions for a Navier-Stokes fluid, as well as those corresponding to a Maxwell fluid and a second grade one, appear as limiting cases of our solutions. The steady state solutions are also obtained for t→∞. |
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Keywords: | Non-Newtonian fluid Analytical solutions Velocity fields Limiting cases |
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