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https://hdl.handle.net/2440/50583
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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 Responsibility: | 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 Inertia Power law rheology |
Description: | Copyright © 2007. Elsevier B.V. All rights reserved. Printed in U.S.A. Submitted to Cornell University’s online archive www.arXiv.org in 2007 by Tony Roberts. Post-print sourced from www.arxiv.org. |
DOI: | 10.1016/j.physleta.2007.10.014 |
Published version: | http://dx.doi.org/10.1016/j.physleta.2007.10.014 |
Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
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