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Spread of a non-Newtonian liquid jet over a horizontal plate

Published online by Cambridge University Press:  01 October 2008

JIANGANG ZHAO  and
ROGER E. KHAYAT
JIANGANG ZHAO
Affiliation:
Department of Mechanical and Materials Engineering, The University of Western Ontario, London, Ontario, Canada N6A 5B9 rkhayat@uwo.ca
ROGER E. KHAYAT
Affiliation:
Department of Mechanical and Materials Engineering, The University of Western Ontario, London, Ontario, Canada N6A 5B9 rkhayat@uwo.ca
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Abstract

The flow of an impinging non-Newtonian jet onto a solid flat plate is examined theoretically in this study. Similarity solutions are sought for both shear-thinning and shear-thickening fluids of the power-law type. The jet is assumed to spread out in a thin layer bounded by a hydraulic jump. In addition to the stagnation-flow region, the flow domain is divided into three main regions: a developing boundary layer, fully viscous boundary layer and hydraulic jump. The anomalous behaviour of power-law fluids at small shear rate is remedied by seeking a two-layer solution in each domain. Such anomalies include the singularity of viscosity for shear-thinning fluids, and the vanishing of viscosity as well the overshoot in velocity for shear-thickening fluids. Although the rate of shear-thinning appears to affect significantly the film profile and velocity, only the overall viscosity influences the position of the hydraulic jump.

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 613 , 25 October 2008 , pp. 411 - 443
Copyright
Copyright © Cambridge University Press 2008

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