Travelling waves in dilatant non-Newtonian thin films |
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Authors: | Joachim Escher Christina Lienstromberg |
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Affiliation: | Institute for Applied Mathematics, Leibniz Universität Hannover, Germany |
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Abstract: | We prove the existence of a travelling wave solution for a gravity-driven thin film of a viscous and incompressible dilatant fluid coated with an insoluble surfactant. The governing system of second order partial differential equations for the film's height h and the surfactant's concentration γ are derived by means of lubrication theory applied to the non-Newtonian Navier–Stokes equations. |
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Keywords: | 35C07 35K40 35K65 35Q35 76A20 Travelling wave Non-Newtonian fluid Dilatant fluid Thin film Surfactant |
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