Summary
The problem of a laminar thin-film flow along a vertical wall is examined here. Using a fourth-degree polynomial velocity profile function inside the boundary layer, the momentum integral equation is solved analytically to determine the boundary layer thickness and the corresponding film-thickness.
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Lawrence, P.S., Nageswara Rao, B. Studies on laminar thin film flow along a vertical wall. Acta Mechanica 89, 21–31 (1991). https://doi.org/10.1007/BF01171244
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DOI: https://doi.org/10.1007/BF01171244