The hydraulic jumps in a steady-state rimming flow of a power-law fluid

S. Fomin; S. Raghunathan; J. Watterson; E. Harkin-Jones

The hydraulic jumps in a steady-state rimming flow of a power-law fluid

S. Fomin
, S. Raghunathan
, J. Watterson
, E. Harkin-Jones

Queens University Belfast

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

The rimming flow of a power-law fluid in the inner surface of a horizontal rotating cylinder is investigated. Exploiting the liquid layer being thin the simplest lubrication theory is applied. The generalized run-off condition for the steady-state flow of the power-law liquid is derived. In the bounds implied by this condition film thickness admits a continuous solution. In the supercritical case when the mass of non-Newtonian liquid exceeds certain value or the speed of rotation is less than a indicated limit, a discontinuous solution is possible and a hydraulic jump may occur in the steady-state regime. The location and height of the hydraulic jump for the power-law liquid is determined.

Original language	English
Title of host publication	Proceedings of the 2001 ASME Fluids Engineering Division Summer Meeting. Volume 1
Subtitle of host publication	Forums
Editors	T.J. O Hern, T.J. O Hern
Pages	517-522
Number of pages	6
Volume	1
Publication status	Published (in print/issue) - 1 Dec 2003
Event	2001 ASME Fluids Engineering Division Summer Meeting - New Orleans, LA, United States Duration: 29 May 2001 → 1 Jun 2001

Conference

Conference	2001 ASME Fluids Engineering Division Summer Meeting
Country/Territory	United States
City	New Orleans, LA
Period	29/05/01 → 1/06/01

Cite this

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title = "The hydraulic jumps in a steady-state rimming flow of a power-law fluid",

abstract = "The rimming flow of a power-law fluid in the inner surface of a horizontal rotating cylinder is investigated. Exploiting the liquid layer being thin the simplest lubrication theory is applied. The generalized run-off condition for the steady-state flow of the power-law liquid is derived. In the bounds implied by this condition film thickness admits a continuous solution. In the supercritical case when the mass of non-Newtonian liquid exceeds certain value or the speed of rotation is less than a indicated limit, a discontinuous solution is possible and a hydraulic jump may occur in the steady-state regime. The location and height of the hydraulic jump for the power-law liquid is determined.",

author = "S. Fomin and S. Raghunathan and J. Watterson and E. Harkin-Jones",

year = "2003",

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editor = "\{O Hern\}, T.J. and \{O Hern\}, T.J.",

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note = "2001 ASME Fluids Engineering Division Summer Meeting ; Conference date: 29-05-2001 Through 01-06-2001",

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Fomin, S, Raghunathan, S, Watterson, J & Harkin-Jones, E 2003, The hydraulic jumps in a steady-state rimming flow of a power-law fluid. in TJ O Hern & TJ O Hern (eds), Proceedings of the 2001 ASME Fluids Engineering Division Summer Meeting. Volume 1: Forums. vol. 1, pp. 517-522, 2001 ASME Fluids Engineering Division Summer Meeting, New Orleans, LA, United States, 29/05/01.

The hydraulic jumps in a steady-state rimming flow of a power-law fluid. / Fomin, S.; Raghunathan, S.; Watterson, J. et al.
Proceedings of the 2001 ASME Fluids Engineering Division Summer Meeting. Volume 1: Forums. ed. / T.J. O Hern; T.J. O Hern. Vol. 1 2003. p. 517-522.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - The hydraulic jumps in a steady-state rimming flow of a power-law fluid

AU - Fomin, S.

AU - Raghunathan, S.

AU - Watterson, J.

AU - Harkin-Jones, E.

PY - 2003/12/1

Y1 - 2003/12/1

N2 - The rimming flow of a power-law fluid in the inner surface of a horizontal rotating cylinder is investigated. Exploiting the liquid layer being thin the simplest lubrication theory is applied. The generalized run-off condition for the steady-state flow of the power-law liquid is derived. In the bounds implied by this condition film thickness admits a continuous solution. In the supercritical case when the mass of non-Newtonian liquid exceeds certain value or the speed of rotation is less than a indicated limit, a discontinuous solution is possible and a hydraulic jump may occur in the steady-state regime. The location and height of the hydraulic jump for the power-law liquid is determined.

AB - The rimming flow of a power-law fluid in the inner surface of a horizontal rotating cylinder is investigated. Exploiting the liquid layer being thin the simplest lubrication theory is applied. The generalized run-off condition for the steady-state flow of the power-law liquid is derived. In the bounds implied by this condition film thickness admits a continuous solution. In the supercritical case when the mass of non-Newtonian liquid exceeds certain value or the speed of rotation is less than a indicated limit, a discontinuous solution is possible and a hydraulic jump may occur in the steady-state regime. The location and height of the hydraulic jump for the power-law liquid is determined.

UR - https://www.scopus.com/pages/publications/0346325886

M3 - Conference contribution

AN - SCOPUS:0346325886

SN - 0791835324

VL - 1

SP - 517

EP - 522

BT - Proceedings of the 2001 ASME Fluids Engineering Division Summer Meeting. Volume 1

A2 - O Hern, T.J.

T2 - 2001 ASME Fluids Engineering Division Summer Meeting

Y2 - 29 May 2001 through 1 June 2001

ER -

The hydraulic jumps in a steady-state rimming flow of a power-law fluid

Abstract

Conference

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