Film Flow Along a Vertical Cylinder

by Nabil A. Hassan,
Joseph B. Franzini,

Serial Information: Journal of the Engineering Mechanics Division, 1964, Vol. 90, Issue 4, Pg. 23-36

Document Type: Journal Paper

Abstract: A mathematical procedure is presented for the case of flow of a thin liquid film along the wall of a vertical cylinder. Surface tension forces are neglected. The velocity function is assumed to be a polynomial. The Navier-Stokes equation is combined with continuity and integrated to give an expression for film thickness as a function of position in the accelerated region of flow. In the limiting condition, an expression is given for the case of uniform flow along the walls of a vertical cylinder. The results are expressed in terms of a Reynolds number and a Froude number. A digital computer was used to indicate the variation of film thickness for several Reynolds number and Froude number combinations. The analysis provides a better understanding of the type of film flow that generally occurs in trickling filters and is often found in chemical process packing towers.

Subject Headings: Cylinders | Case studies | Walls | Surface Tension (water properties) | Navier-Stokes equations | Thickness | Reynolds number | Froude number

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