Motion of a liquid film on the surface of a rotating cylinder in a gravitational field
Abstract
The paper considers the plane problem of the motion of a viscous incompressible fluid which wholly covers the surface of a circular cylinder, rotating at a constant angular velocity about its axis. The axis of the cylinder is perpendicular to the direction of the gravity force and the outer boundary of the fluid is free. Solutions are obtained for the NavierStokes equations of the problem, under the assumption that centrifugal acceleration exceeds gravitational acceleration. Equations describing the twodimensional unsteady movement of a film whose thickness is small in comparison with the radius of the cylinder are obtained.
 Publication:

PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
 Pub Date:
 January 1978
 Bibcode:
 1978PMTF...18...78P
 Keywords:

 Fluid Films;
 Incompressible Flow;
 Rotating Cylinders;
 Viscous Flow;
 Acceleration (Physics);
 Existence Theorems;
 Flow Equations;
 Gravitational Fields;
 NavierStokes Equation;
 Two Dimensional Flow;
 Uniqueness Theorem;
 Fluid Mechanics and Heat Transfer