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

6 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
General Physics and Astronomy
Condensed Matter Physics

Access to Document

10.1007/s001620100044

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

Cite this

@article{744f60c9f36745b483fb049eae54256d,

title = "Run off Conditions on Rimming Power Law Fluids",

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.",

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

year = "2001",

month = nov,

doi = "10.1007/s001620100044",

language = "English",

volume = "15",

pages = "83--94",

journal = "Theoretical Computational Fluid Dynamics",

issn = "1432-2250",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Run off Conditions on Rimming Power Law Fluids

AU - Fomin, S.

AU - Watterson, J.

AU - Raghunathan, S.

AU - Harkin-Jones, E.

PY - 2001/11

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.

UR - https://www.scopus.com/pages/publications/0035541552

U2 - 10.1007/s001620100044

DO - 10.1007/s001620100044

M3 - Article

SN - 1432-2250

VL - 15

SP - 83

EP - 94

JO - Theoretical Computational Fluid Dynamics

JF - Theoretical Computational Fluid Dynamics

IS - 2

ER -

Run off Conditions on Rimming Power Law Fluids

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this