Free surface model derived from the analytical solution of stokes flow in a wedge

Authors :: Hewson, R.W.
Source :: Journal of Fluids Engineering. April, 2009, Vol. 131 Issue 4, p41205, 5 p.
Publication Year :: 2009
Abstract: The formation of a thin liquid film onto a moving substrate is a commonly encountered industrial process, and one that is encountered in lubrication, oil extraction processes, and coating flows. The formation of such a film is analyzed via the analytical Stokes flow solution for the flow in a wedge bounded on one side by a free surface and on the other by a moving surface. The full solution is obtained by numerically integrating a set of ordinary differential equations from far downstream, in the region of the final film thickness. The results show excellent agreement with the results obtained by the Bretherton equation, the Ruschak equation, the Coyne and Elrod model, and a two-dimensional free surface finite element simulation of the problem. [DOI: 10.1115/1.3089540]

Subjects :: Surfaces -- Mechanical properties
Surfaces (Technology) -- Mechanical properties
Dielectric films -- Mechanical properties
Dielectric films -- Production processes
Thin films -- Mechanical properties
Thin films -- Production processes
Wedges -- Mechanical properties
Engineering and manufacturing industries
Science and technology

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