Global Stability of Couette Flow between Rotating Cylinders

  • Daniel D. Joseph
Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 27)

Abstract

In this chapter we shall consider the stability of flow between concentric rotating cylinders. In the idealized problem the cylinders are infinitely long and rotate about their common axis with constant angular velocities Ω1 at r = a and Ω2 at r = b(b > a). The motion of the fluid satisfies the Navier-Stokes equations between the cylinder and the adherence condition at the cylinder walls.

Keywords

Vortex Convection Torque Vorticity Cylin 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • Daniel D. Joseph
    • 1
  1. 1.Department of Aerospace Engineering and MechanicsUniversity of MinnesotaMinneapolisUSA

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