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Landau-Levich problem for non-Newtonian liquids

Konstantin Afanasiev1,*, Andreas Münch1,2, and Barbara Wagner1

  • 1Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, 10117 Berlin, Germany
  • 2Institute of Mathematics, Humboldt University of Berlin, 10099 Berlin, Germany

  • *afanasie@wias-berlin.de
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Phys. Rev. E 76, 036307 – Published 18 September, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.036307

Abstract

In this paper the drag-out problem for shear-thinning liquids at variable inclination angles is considered. For this free boundary problem dimension-reduced lubrication equations are derived for the most commonly used viscosity models, namely, the power-law, Ellis, and Carreau model. For the resulting lubrication models a system of ordinary differential equations governing the steady state solutions is obtained. Phase plane analysis is used to characterize the type of possible steady state solutions and their dependence on the rheological parameters.

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Outline

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Phys. Rev. E 76, 036307– Published 18 September, 2007
  • Received 20 March 2007

© 2007 American Physical Society

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