Fluid Dynamics pp 475-547 | Cite as

Flow at high Reynolds numbers

  • C. Pozrikidis


Having discussed viscous flows at vanishing Reynolds numbers, we turn our attention to the diametrically opposite limit of inertia-dominated flows at high Reynolds numbers. Examining the changes in the structure of a flow with increasing Reynolds number, we encounter a broad variety of protocols accompanied by a rich phenomenology. In all cases, when the Reynolds number exceeds a critical threshold, flow instability arises and a small-scale turbulent motion is established. The theoretical study of the structure and dynamics of flows at high Reynolds numbers encompasses several complementary topics including potential-flow theory, boundary-layer theory, theory of hydrodynamic stability, theory of turbulent motion, and dynamics of vortex motion. Potential flow was considered in earlier sections; boundary-layer theory, hydrodynamic stability, and turbulent motion will be discussed in this chapter; and vortex motion will be the exclusive topic of Chapter 11.


Reynolds Number Wall Shear Stress High Reynolds Number Turbulent Motion Increase Reynolds Number 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • C. Pozrikidis
    • 1
  1. 1.University of CaliforniaSan Diego, La JollaUSA

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