Journal of Fluid Mechanics

Viscous flow between two moving parallel disks: exact solutions and stability analysis

S. N. ARISTOV a1 and I. M. GITMAN a1a2
a1 Institute of Continuous Media Mechanics of Russian Academy of Science, Korolev str., 1, Perm 614013, Russia
a2 Delft University of Technology, Faculty of Civil Engineering and Geosciences, PO Box 5048, 2600 GA Delft, The Netherlands; e-mail:


The motion of a viscous incompressible liquid between two parallel disks, moving towards each other or in opposite directions, is considered. The description of possible conditions of motion is based on the exact solution of the Navier–Stokes equations. Both stationary and transient cases have been considered. The stability of the motion is analysed for different initial perturbations. Different types of stability were found according to whether the disks moved towards or away from each other.

(Received February 12 2002)