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Analytic solutions of Newtonian and non-Newtonian pipe flows subject to a general time-dependent pressure gradient

McGinty, Sean and McKee, S. and McDermott, R. (2009) Analytic solutions of Newtonian and non-Newtonian pipe flows subject to a general time-dependent pressure gradient. Journal of Non-Newtonian Fluid Mechanics, 162 (1-3). pp. 54-77. ISSN 0377-0257

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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.