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 language | English |
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Pages (from-to) | 83-94 |
Number of pages | 12 |
Journal | Theoretical and Computational Fluid Dynamics |
Volume | 15 |
Issue number | 2 |
DOIs | |
Publication status | Published (in print/issue) - 1 Nov 2001 |