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Hydrodynamic force on a plate near the plane wall. II: Plate in squeezing motion. (English) Zbl 1075.76528

Summary: Three-dimensional slow viscous flow due to the broadside motion of a thin plate parallel to an infinite plane is considered with the assumption that the gap between the plate and the plane wall is much smaller than the size of the plate. Using the method of matched asymptotic expansions, asymptotic expressions for the force and torque exerted by the fluid are obtained.

MSC:

76D08 Lubrication theory
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics

Citations:

Zbl 1075.76527
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