Asymmetric flow above a rotating disk Academic Article uri icon


  • In this paper we generalize the von Karman solution for flow above a single rotating disk, to include non-axisymmetric solutions. These solutions contain an arbitrary parameter; for zero value of the parameter the asymmetric flow degenerates into the classical von Karman solution. Thus the classical solution is never isolated when considered within the scope of the full Navier-Stokes equations; there are asymmetric solutions in every neighbourhood of the von Karman solution. Calculations are reported here for s= 0, 0.02 and 0.06, where represents the ratio of angular velocity of the fluid at infinity to the angular velocity of the disk. A subset of the solutions obtained here corresponds to flow induced by the rotation of a disk when the latter is placed in a fluid that is moving with a constant uniform velocity. © 1985, Cambridge University Press. All rights reserved.

author list (cited authors)

  • Lai, C., Rajagopal, K. R., & Szeri, A. Z.

citation count

  • 39

publication date

  • August 1985