THE BEHAVIOR OF A THIN VISCOUS FILM UNDER MECHANICAL AND THERMAL FORCES
ARMY ENGINEER CENTER FORT LEONARD WOOD MO
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This treatment of the flow of a viscous, incompressible fluid over a flat plate under the influence of surface forces is designed to include at one time the presence of normal and tangential forces, and to deal with spatial and temporal behavior on an equivalent basis. It therefore serves to supplement and generalize the simpler, physically based account of Mautz. While it does not seem to lead to substantially new results, it enables consideration of more general spatial and temporal variations, without special artifices, and it illuminates the nature of the underlying approximations and their range of valid application. The additional consideration of heat conduction and evaporation seems to offer a possible description of the experimental findings when combined with the viscous flow. The problem to be considered is that of a thin, uniform layer of a viscous, incompressible fluid covering an infinite, flat, horizontal plate, and is subjected to a cylindrically symmetric surface force.
- Fluid Mechanics