Viscous flow between two moving parallel disks: exact solutions and stability analysis
S. N. ARISTOV a1andI. 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: firstname.lastname@example.org
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.