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On Stokes slip flow through a transversely wavy channel
Authors:C.Y. Wang  
Affiliation:a Departments of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI 48824, USA
Abstract:The Stokes flow through a wavy or corrugated channel with surface slip is studied. The correct Navier's partial slip condition is applied and perturbation solutions about the small amplitude to channel width ratio are obtained. As in Stokes slip flow over a sphere, the resistance is not zero even when slip is infinite. The resistance (due to the interaction of waviness and slip) is larger when the corrugations of the two plates are out of phase than that when they are in phase.
Keywords:Flow   Viscous   Slip   Wavy   Navier
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