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

Sean McGinty; S. McKee; R. McDermott

doi:10.1016/j.jnnfm.2009.05.007

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

Sean McGinty, S. McKee, R. McDermott

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

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 language	English
Pages (from-to)	54-77
Number of pages	23
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	162
Issue number	1-3
DOIs	https://doi.org/10.1016/j.jnnfm.2009.05.007
Publication status	Published - Oct 2009

Keywords

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

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10.1016/j.jnnfm.2009.05.007

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

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.",

keywords = "non-Newtonian, pipe flow, annular flow, analytic solutions, time-dependent pressure gradient",

author = "Sean McGinty and S. McKee and R. McDermott",

year = "2009",

month = oct,

doi = "10.1016/j.jnnfm.2009.05.007",

language = "English",

volume = "162",

pages = "54--77",

journal = "Journal of Non-Newtonian Fluid Mechanics",

issn = "0377-0257",

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TY - JOUR

T1 - Analytic solutions of Newtonian and non-Newtonian pipe flows subject to a general time-dependent pressure gradient

AU - McGinty, Sean

AU - McKee, S.

AU - McDermott, R.

PY - 2009/10

Y1 - 2009/10

N2 - 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.

AB - 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.

KW - non-Newtonian

KW - pipe flow

KW - annular flow

KW - analytic solutions

KW - time-dependent pressure gradient

UR - http://dx.doi.org/10.1016/j.jnnfm.2009.05.007

U2 - 10.1016/j.jnnfm.2009.05.007

DO - 10.1016/j.jnnfm.2009.05.007

M3 - Article

VL - 162

SP - 54

EP - 77

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

SN - 0377-0257

IS - 1-3

ER -

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

Abstract

Keywords

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