AN ANALYTIC STUDY OF FILM BEHAVIOR IN HORIZONTAL ANNULAR TWO-PHASE FLOW.
CORNELL UNIV ITHACA N Y SIBLEY SCHOOL OF MECHANICAL ENGINEERING
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The behavior of a thin liquid film originally of annular cross-section was examined insofar as depth and velocity field were concerned when the film was exposed to high shear on the free surface and the action of gravity. The applicable equations were developed from the NavierStokes set, and include the terms necessary for cross flow of the fluid. These equations were resolved by formulating the equivalent finite-difference forms and effecting a numerical solution. The film behavior was determined when the surface was subjected to various stimuli, e.g., surface shear a function of film depth, surface cross shear, etc. Solutions were effected for several combinations of liquid flow and surface shear in a horizontal tube two inches in diameter. The results obtained compare favorably with experimental measurements both from a qualitative and quantitative view. The scaling laws, which permit the several solutions presented to be extended to a whole family of flows, are presented and discussed. The techniques of solution developed are believed applicable to a wide variety of free surface flow problems. Author