Limitation on the use of the retarded motion expansion

Ole Hassager; RC Armstrong; RB Bird

doi:10.1016/0377-0257(90)80020-Z

Limitation on the use of the retarded motion expansion

Ole Hassager
, RC Armstrong
, RB Bird

Massachusetts Institute of Technology
University of Wisconsin-Madison
Danmarks Tekniske Højskole

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

The use of the retarded motion expansion as a constitutive equation has long been known to be valid only for small Deborah number flow. We demonstrate that ‘solution’ which cannot be obtained as a regular perturbation about the Newtonian solution is physically meaningless. This is discussed in connection with a recent paper in this journal.

Original language	English
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	34
Issue number	2
Pages (from-to)	241-245
ISSN	0377-0257
DOIs	https://doi.org/10.1016/0377-0257(90)80020-Z
Publication status	Published - 1990
Externally published	Yes

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title = "Limitation on the use of the retarded motion expansion",

abstract = "The use of the retarded motion expansion as a constitutive equation has long been known to be valid only for small Deborah number flow. We demonstrate that {\textquoteleft}solution{\textquoteright} which cannot be obtained as a regular perturbation about the Newtonian solution is physically meaningless. This is discussed in connection with a recent paper in this journal.",

author = "Ole Hassager and RC Armstrong and RB Bird",

year = "1990",

doi = "10.1016/0377-0257(90)80020-Z",

language = "English",

volume = "34",

pages = "241--245",

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

issn = "0377-0257",

publisher = "Elsevier",

number = "2",

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TY - JOUR

T1 - Limitation on the use of the retarded motion expansion

AU - Hassager, Ole

AU - Armstrong, RC

AU - Bird, RB

PY - 1990

Y1 - 1990

N2 - The use of the retarded motion expansion as a constitutive equation has long been known to be valid only for small Deborah number flow. We demonstrate that ‘solution’ which cannot be obtained as a regular perturbation about the Newtonian solution is physically meaningless. This is discussed in connection with a recent paper in this journal.

AB - The use of the retarded motion expansion as a constitutive equation has long been known to be valid only for small Deborah number flow. We demonstrate that ‘solution’ which cannot be obtained as a regular perturbation about the Newtonian solution is physically meaningless. This is discussed in connection with a recent paper in this journal.

U2 - 10.1016/0377-0257(90)80020-Z

DO - 10.1016/0377-0257(90)80020-Z

M3 - Journal article

SN - 0377-0257

VL - 34

SP - 241

EP - 245

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

IS - 2

ER -

Limitation on the use of the retarded motion expansion

Abstract

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