The run-off condition for rimming flow of a power-law fluid

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

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The rimming flow of a power-law fluid 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 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 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 languageEnglish
Pages (from-to)83-94
Number of pages12
JournalTheoretical and Computational Fluid Dynamics
Volume15
Issue number2
DOIs
Publication statusPublished - 1 Nov 2001

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