The skidding of an elliptic plate on a wet surface |
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Authors: | C Y Wang |
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Institution: | (1) Michigan State University, 48824 East Lansing, MI, USA |
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Abstract: | A viscous fluid separates a massed, sliding, free elliptic plate and a smooth bottom plate. Due to the weight, the gap width between the plates decreases. The increased viscous drag eventually stops the skidding. The Navier-Stokes equations are expanded in terms of a small squeeze number. It is found that the gap width decrease as (time)–1/2 and the maximum skidding distance depends on five nondimensional groups. An example shows it is easier for the elliptic plate to side longitudinally than laterally. |
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