Climbing constant, second-order correction of Trouton's viscosity, wave speed and delayed die swell for M1

Howard H. Hu; Oliver Riccius; Kang Ping Chen; Mike Arney; Daniel D. Joseph

doi:10.1016/0377-0257(90)85055-4

Climbing constant, second-order correction of Trouton's viscosity, wave speed and delayed die swell for M1

Howard H. Hu, Oliver Riccius, Kang Ping Chen, Mike Arney, Daniel D. Joseph

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

23 Scopus citations

Abstract

Measurements of the wave speed c in M1 imply at fast time λ = υ/ρc² of relaxation. This and the delayed die-swell measurements suggest that M1 is not very elastic. Extensive and very reliable values of the climbing constants show that M1 has weak normal stresses at the level of STP. The climbing constants plus back-extrapolated values of N₁/ γ .² taken from measurements at two temperatures by Binding, and Walters and Prud'homme lead to values of the two coefficients in the second-order regime of slow flow of M1. This gives us all the constants in the Roscoe formula for the quadratic correction of Trouton's viscosity and also shows us to compute the normal stress ratio - N₂/N₁ = 0.11, independent of temperature.

Original language	English (US)
Pages (from-to)	287-307
Number of pages	21
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	35
Issue number	2-3
DOIs	https://doi.org/10.1016/0377-0257(90)85055-4
State	Published - 1990
Externally published	Yes

Keywords

climbing constant
delayed die swell
extensional viscosity
test fluid M1
wave speed

ASJC Scopus subject areas

Chemical Engineering(all)
Materials Science(all)
Condensed Matter Physics
Mechanical Engineering
Applied Mathematics

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10.1016/0377-0257(90)85055-4

Cite this

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title = "Climbing constant, second-order correction of Trouton's viscosity, wave speed and delayed die swell for M1",

abstract = "Measurements of the wave speed c in M1 imply at fast time λ = υ/ρc2 of relaxation. This and the delayed die-swell measurements suggest that M1 is not very elastic. Extensive and very reliable values of the climbing constants show that M1 has weak normal stresses at the level of STP. The climbing constants plus back-extrapolated values of N1/ γ .2 taken from measurements at two temperatures by Binding, and Walters and Prud'homme lead to values of the two coefficients in the second-order regime of slow flow of M1. This gives us all the constants in the Roscoe formula for the quadratic correction of Trouton's viscosity and also shows us to compute the normal stress ratio - N2/N1 = 0.11, independent of temperature.",

keywords = "climbing constant, delayed die swell, extensional viscosity, test fluid M1, wave speed",

author = "Hu, {Howard H.} and Oliver Riccius and Chen, {Kang Ping} and Mike Arney and Joseph, {Daniel D.}",

year = "1990",

doi = "10.1016/0377-0257(90)85055-4",

language = "English (US)",

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TY - JOUR

T1 - Climbing constant, second-order correction of Trouton's viscosity, wave speed and delayed die swell for M1

AU - Hu, Howard H.

AU - Riccius, Oliver

AU - Chen, Kang Ping

AU - Arney, Mike

AU - Joseph, Daniel D.

PY - 1990

Y1 - 1990

N2 - Measurements of the wave speed c in M1 imply at fast time λ = υ/ρc2 of relaxation. This and the delayed die-swell measurements suggest that M1 is not very elastic. Extensive and very reliable values of the climbing constants show that M1 has weak normal stresses at the level of STP. The climbing constants plus back-extrapolated values of N1/ γ .2 taken from measurements at two temperatures by Binding, and Walters and Prud'homme lead to values of the two coefficients in the second-order regime of slow flow of M1. This gives us all the constants in the Roscoe formula for the quadratic correction of Trouton's viscosity and also shows us to compute the normal stress ratio - N2/N1 = 0.11, independent of temperature.

AB - Measurements of the wave speed c in M1 imply at fast time λ = υ/ρc2 of relaxation. This and the delayed die-swell measurements suggest that M1 is not very elastic. Extensive and very reliable values of the climbing constants show that M1 has weak normal stresses at the level of STP. The climbing constants plus back-extrapolated values of N1/ γ .2 taken from measurements at two temperatures by Binding, and Walters and Prud'homme lead to values of the two coefficients in the second-order regime of slow flow of M1. This gives us all the constants in the Roscoe formula for the quadratic correction of Trouton's viscosity and also shows us to compute the normal stress ratio - N2/N1 = 0.11, independent of temperature.

KW - climbing constant

KW - delayed die swell

KW - extensional viscosity

KW - test fluid M1

KW - wave speed

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JO - Journal of Non-Newtonian Fluid Mechanics

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ER -

Climbing constant, second-order correction of Trouton's viscosity, wave speed and delayed die swell for M1

Abstract

Keywords

ASJC Scopus subject areas

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