Run off Conditions on Rimming Power Law Fluids

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

doi:10.1007/s001620100044

Run off Conditions on Rimming Power Law Fluids

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

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

5 Citations (Scopus)

Abstract

The rimming ?ow of a power-law ?uid in the inner surface of a horizontal rotating cylinder is investigated. Exploiting the fact that the liquid layer is thin, the simplest lubrication theory is applied. The generalized run-off condition for the steady-state ?ow of the power-law liquid is derived. In the bounds implied by this condition, ?lm thickness admits a continuous solution. In the supercritical case when the mass of non-Newtonian liquid exceeds a certain value or the speed of rotation is less than an 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
Pages (from-to)	83-94
Number of pages	12
Journal	Theoretical Computational Fluid Dynamics
Volume	15
Issue number	2
DOIs	https://doi.org/10.1007/s001620100044
Publication status	Published - Nov 2001

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Physics and Astronomy(all)
Condensed Matter Physics

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10.1007/s001620100044

http://link.springer.com/article/10.1007%2Fs001620100044#page-1

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abstract = "The rimming ?ow of a power-law ?uid in the inner surface of a horizontal rotating cylinder is investigated. Exploiting the fact that the liquid layer is thin, the simplest lubrication theory is applied. The generalized run-off condition for the steady-state ?ow of the power-law liquid is derived. In the bounds implied by this condition, ?lm thickness admits a continuous solution. In the supercritical case when the mass of non-Newtonian liquid exceeds a certain value or the speed of rotation is less than an 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.",

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AU - Watterson, J.

AU - Raghunathan, S.

AU - Harkin-Jones, E.

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Y1 - 2001/11

N2 - The rimming ?ow of a power-law ?uid in the inner surface of a horizontal rotating cylinder is investigated. Exploiting the fact that the liquid layer is thin, the simplest lubrication theory is applied. The generalized run-off condition for the steady-state ?ow of the power-law liquid is derived. In the bounds implied by this condition, ?lm thickness admits a continuous solution. In the supercritical case when the mass of non-Newtonian liquid exceeds a certain value or the speed of rotation is less than an 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 ?ow of a power-law ?uid in the inner surface of a horizontal rotating cylinder is investigated. Exploiting the fact that the liquid layer is thin, the simplest lubrication theory is applied. The generalized run-off condition for the steady-state ?ow of the power-law liquid is derived. In the bounds implied by this condition, ?lm thickness admits a continuous solution. In the supercritical case when the mass of non-Newtonian liquid exceeds a certain value or the speed of rotation is less than an 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.

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Run off Conditions on Rimming Power Law Fluids

Abstract

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