Unsteady flow between rectangular plates and between circular plates
Abstract
The unsteady flow of a viscous incompressible fluid between two parallel, infinitely long rectangular plates and between two parallel circular plates is analyzed. In this analysis, the lower plate is stationary, and the upper plate moves toward the lower plate. Use is made of the full NavierStokes equations in order to obtain the pressure distribution as a function of the film thickness and the velocity of the upper plate. Allowance is made for the inertia, and for a given load on the upper plate, the sinkage relation between the thickness and the time is determined for various values of the Reynolds. For various values of the two dimensionless parameters involved (one characterizing the load, the other gravity), the departure from the classical inertialess solution is exhibited.
 Publication:

Wear
 Pub Date:
 November 1983
 Bibcode:
 1983Wear...91..307C
 Keywords:

 Flow Theory;
 Parallel Flow;
 Unsteady Flow;
 Axisymmetric Flow;
 Circular Plates;
 NavierStokes Equation;
 Rectangular Plates;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer