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Sliding sheets: Lubrication with comparable viscous and inertia forces. (English) Zbl 0571.76027
The problem considered is that of a rigid plane thin sheet, sliding steadily close to plane wall, in an incompressible, viscous fluid. The sheet is assumed to be infinitely wide and of length L in the direction of motion with its leading edge at a distance \(h_ o\ll L\) from the wall. After reducing the problem to that of solving the boundary-layer equation in the gap region between sheet and wall, the solution is obtained both by an empirical linearization and by direct numerical methods for arbitrary finite values of the Reynolds number, R. The solution reduces to those predicted by lubrication theory when R is small and to those predicted by an inviscid small-gap theory when R is large.
Reviewer: J.Prakash

76D10 Boundary-layer theory, separation and reattachment, higher-order effects
Full Text: DOI
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