On the Boundary Layer for Dilatant Fluids

  • S. N. Antontsev
  • J. I. Diaz
  • S. I. Shmarev
Conference paper

Abstract

This paper deals with the boundary layer associated to a class of non Newtonian fluids, i. e., fluids for which the stress tensor T, at given temperature and pressure, is not a linear function of the spatial variation of the velocity L ≐ ∇v. This class of fluids is relevant in many contexts: chemical engineering (polymer melts, polymer solutions, suspensions, lubricants, paints, etc.), liquid crystals, oriented media, fibrous media, animal blood etc. (see, e. g., Schowalter [28] and Narasimhan [17]). The above notion of non-Newtonian fluids fails to bound the subject. An important subclass is the so called purely viscous non Newtonian fluids.

Keywords

Boundary Layer Parabolic Equation Newtonian Fluid Energy Method Boundary Layer Theory 
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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • S. N. Antontsev
    • 1
    • 2
  • J. I. Diaz
    • 3
  • S. I. Shmarev
    • 4
    • 5
  1. 1.Lavrentyev Institute of HydrodynamicsNovosibirskRussia
  2. 2.Universidade da Beira InteriorCovilhãPortugal
  3. 3.Departamento de Matemática AplicadaUniversidad Complutense de MadridMadridSpain
  4. 4.NovosibirskRussia
  5. 5.University of OviedoOviedoSpain

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