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

Sean McGinty, S. McKee, R. McDermott

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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.
Original languageEnglish
Pages (from-to)54-77
Number of pages23
JournalJournal of Non-Newtonian Fluid Mechanics
Volume162
Issue number1-3
DOIs
Publication statusPublished - Oct 2009

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Keywords

  • non-Newtonian
  • pipe flow
  • annular flow
  • analytic solutions
  • time-dependent pressure gradient

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