Inertia effects in rheometrical flow systems Part 3: Some energy considerations with respect to the flow field in the balance rheometer

H.A. Waterman, S.S. Makh

Research output: Contribution to journalArticleAcademic

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Abstract

Following up a previous paper by one of the presents authors on the flow field in the balance rheometer, inertia effects being included, in this paper some energy considerations with respect to this flow field are presented. It is shown that in a frame rotating with the same angular velocity as the hemispheres the power supplied by these hemispheres equals the rate of energy dissipation in the sample, i.e. in this coordinate system there is no “stress power paradox”. Further it is shown that the “elastic” couple for a Newtonian liquid, appearing in the calculations, stems from the extra kinetic energy caused by the deviation of the actual flow field from the flow field that appears when inertia effects are ignored.
Original languageUndefined
Pages (from-to)471-477
JournalRheologica acta
Volume20
Issue number5
DOIs
Publication statusPublished - 1981

Keywords

  • inertia effects
  • Balance rheometer
  • IR-85748
  • stress power paradox

Cite this

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abstract = "Following up a previous paper by one of the presents authors on the flow field in the balance rheometer, inertia effects being included, in this paper some energy considerations with respect to this flow field are presented. It is shown that in a frame rotating with the same angular velocity as the hemispheres the power supplied by these hemispheres equals the rate of energy dissipation in the sample, i.e. in this coordinate system there is no “stress power paradox”. Further it is shown that the “elastic” couple for a Newtonian liquid, appearing in the calculations, stems from the extra kinetic energy caused by the deviation of the actual flow field from the flow field that appears when inertia effects are ignored.",
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Inertia effects in rheometrical flow systems Part 3: Some energy considerations with respect to the flow field in the balance rheometer. / Waterman, H.A.; Makh, S.S.

In: Rheologica acta, Vol. 20, No. 5, 1981, p. 471-477.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - Inertia effects in rheometrical flow systems Part 3: Some energy considerations with respect to the flow field in the balance rheometer

AU - Waterman, H.A.

AU - Makh, S.S.

PY - 1981

Y1 - 1981

N2 - Following up a previous paper by one of the presents authors on the flow field in the balance rheometer, inertia effects being included, in this paper some energy considerations with respect to this flow field are presented. It is shown that in a frame rotating with the same angular velocity as the hemispheres the power supplied by these hemispheres equals the rate of energy dissipation in the sample, i.e. in this coordinate system there is no “stress power paradox”. Further it is shown that the “elastic” couple for a Newtonian liquid, appearing in the calculations, stems from the extra kinetic energy caused by the deviation of the actual flow field from the flow field that appears when inertia effects are ignored.

AB - Following up a previous paper by one of the presents authors on the flow field in the balance rheometer, inertia effects being included, in this paper some energy considerations with respect to this flow field are presented. It is shown that in a frame rotating with the same angular velocity as the hemispheres the power supplied by these hemispheres equals the rate of energy dissipation in the sample, i.e. in this coordinate system there is no “stress power paradox”. Further it is shown that the “elastic” couple for a Newtonian liquid, appearing in the calculations, stems from the extra kinetic energy caused by the deviation of the actual flow field from the flow field that appears when inertia effects are ignored.

KW - inertia effects

KW - Balance rheometer

KW - IR-85748

KW - stress power paradox

U2 - 10.1007/BF01503268

DO - 10.1007/BF01503268

M3 - Article

VL - 20

SP - 471

EP - 477

JO - Rheologica acta

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