Analytic solutions of Newtonian and non-Newtonian pipe flows subject to a general time-dependent pressure gradient |
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| Authors: | S. McGinty S. McKee R. McDermott |
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| Affiliation: | aDepartment of Mathematics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, Scotland, United Kingdom |
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| Abstract: | This article is concerned with general analytic solutions of flows in cylindrical and annular pipes subject to an arbitrary time-dependent pressure gradient and arbitrary steady initial flow. The fluids considered are Newtonian, Maxwellian and Oldroyd B. Graphical results for (blood) flow in a dog’s femoral artery are presented. |
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| Keywords: | Non-Newtonian Pipe flow Annular flow Analytic solutions Time-dependent pressure gradient |
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