Abstract

Two-Dimensional Spreading of a Thin Film of Viscous Incompressible Fluid on a Horizontal Plane with Suction or Blowing

D.P.Mason, E.Momoniat (Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Wits, South Africa )

e-mail: dpmason@cam.wits.ac.za

A nonlinear diffusion equation for two-dimensional spreading of a thin film of viscous incompressible fluid on a horizontal plane is derived. The boundary condition on the normal velocity at the horizontal plane includes suction or blowing. A group invariant solution is obtained in which the normal component of the fluid velocity at the horizontal plane is proportional to the height of the thin film at that point. This solution includes both the effects of suction and blowing.

Section : 12