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Type: Journal article
Title: The inertial dynamics of thin film flow of non-Newtonian fluids
Author: Roberts, A.
Citation: Physics Letters A: General Physics, Nonlinear Science, Statistical Physics, Atomic, Molecular and Cluster Physics, Plasma and Fluid Physics, Condensed Matter, Cross-disciplinary Physics, Biological Physics, Nanosciences, Quantum Physics, 2008; 372(10):1607-1611
Publisher: Elsevier Science BV
Issue Date: 2008
ISSN: 0375-9601
Statement of
A.J. Roberts
Abstract: Consider the flow of a thin layer of non-Newtonian fluid over a solid surface. I model the case where the viscosity depends nonlinearly on the shear-rate; power law fluids are an important example, but the analysis here is for general nonlinear dependence. The modelling allows for large changes in film thickness provided the changes occur over a relatively large enough lateral length scale. Modifying the surface boundary condition for tangential stress forms an accessible foundation for the analysis where flow with constant shear is a neutral critical mode, in addition to a mode representing conservation of fluid. Perturbatively removing the modification then constructs a model for the coupled dynamics of the fluid depth and the lateral momentum. For example, the results model the dynamics of gravity currents of non-Newtonian fluids when the flow is not creeping
Keywords: Thin fluid flow
Non-Newtonian fluid
Power law rheology
Description: Copyright © 2007. Elsevier B.V. All rights reserved. Printed in U.S.A. Submitted to Cornell University’s online archive in 2007 by Tony Roberts. Post-print sourced from
DOI: 10.1016/j.physleta.2007.10.014
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