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The Limit of Very Low Reynolds Numbers

  • Radyadour Kh. Zeytounian
Chapter
  • 386 Downloads

Abstract

First, we consider the Navier equation in the form \(\left( {\frac{D}{{Dt}} \equiv \frac{\partial }{{\partial t}} + {u_N} \cdot \nabla } \right)\)
$${\text{Re}}\frac{{D{u_N}}}{{Dt}} + \nabla {p_s} = {\nabla ^2}{u_N}$$
(5.1)
when we assume that the gravitational force g is zero and define the (Stokes) pressure p s such that
$${p_s} = {\text{Re}}\frac{{p - {p_\infty }}}{{{\rho _0}{{({U_\infty })}^2}}},$$
(5.2)
with p a constant reference pressure.

Keywords

Reynolds Number Mach Number Stokes Equation Compressible Flow Viscous Fluid Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Radyadour Kh. Zeytounian
    • 1
    • 2
  1. 1.ParisFrance
  2. 2.Université des Sciences et Technologies de LilleVilleneuve d’AscqFrance

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