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Field Equations for Flows of Newtonian Fluids

  • Herrmann Schlichting
  • Klaus Gersten
Chapter

Abstract

The equations of motion for a general (Newtonian) fluid will now be established. In doing so the fluid will be considered to be a continuum. In a continuum the smallest volume element considered dV is still homogeneous, i.e. the dimensions of dV are still very large compared to the average distance between the molecules in the fluid. In gases the assumption of a continuum is valid if the Knudsen number Kn = l 0/l is very small, where h is the mean free path and l 0 a characteristic length of the flow field, see S.A. Schaaf (1958).

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Herrmann Schlichting
    • 1
  • Klaus Gersten
    • 1
  1. 1.Institut für Thermo- und FluidmechanikRuhr-Universität BochumBochumGermany

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