DIFFUSION FROM FREE SURFACE INTO A LIQUID FILM IN LAMINAR FLOW OVER DEFINED SHAPES

The partial differential equation: {A figure is presented} is solved for the first ten sets of eigenvalues and coefficients. The method of Davidson who showed that such a solution may be applied to laminar flow over a sphere, is extended to other geometries. It is found that a shape derived from a cycloid yields simpler equations describing the assumed flow pattern, than the corresponding equations for a sphere. Experimental results are quoted which fall outside the range of applicability of the simpler penetration theory, and which show good agreement with the solution of the above equation for a sphere. © 1969.