Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/50583
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Full metadata record
DC Field | Value | Language |
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dc.contributor.author | Roberts, A. | - |
dc.date.issued | 2008 | - |
dc.identifier.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 | - |
dc.identifier.issn | 0375-9601 | - |
dc.identifier.uri | http://hdl.handle.net/2440/50583 | - |
dc.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. | - |
dc.description.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 | - |
dc.description.statementofresponsibility | A.J. Roberts | - |
dc.language.iso | en | - |
dc.publisher | Elsevier Science BV | - |
dc.source.uri | http://dx.doi.org/10.1016/j.physleta.2007.10.014 | - |
dc.subject | Thin fluid flow | - |
dc.subject | Non-Newtonian fluid | - |
dc.subject | Inertia | - |
dc.subject | Power law rheology | - |
dc.title | The inertial dynamics of thin film flow of non-Newtonian fluids | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1016/j.physleta.2007.10.014 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Roberts, A. [0000-0001-8930-1552] | - |
Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
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hdl_50583.pdf | 117.92 kB | Publisher's post-print | View/Open |
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