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• W2000494465 abstract "Lubrication flows near deformable solid boundaries occur in a diverse range of settings including coating and printing processes, biological systems, and suspensions. In order to examine the effect of surface topography on the elastohydrodynamic interactions that arise in these flows, the flow between a rigid cavity and a flexible wall is studied. Reynolds equation for the fluid is coupled to a model for the wall which is backed by a series of springs and/or held by a uniform tension force. The resulting nonlinear ordinary differential equations are then solved numerically to obtain pressure profiles and wall positions. When the wall modulus or tension is large relative to viscous forces, the wall hardly deforms and both a pressure mountain and valley are observed due to the gap change produced by the cavity topography. When the wall modulus and tension are small relative to viscous forces, the wall easily deforms and assumes a shape similar to that of the cavity. The pressure profiles are also dramatically altered and in some cases show only a valley without a mountain. Cavity shape is found to have a significant influence on both the pressure profiles and the wall deformation. The results suggest that surface topography may significantly modify the elastohydrodynamic interactions that arise in lubrication flows near deformable solid boundaries." @default.
• W2000494465 created "2016-06-24" @default.
• W2000494465 creator A5030130660 @default.
• W2000494465 creator A5060045769 @default.
• W2000494465 date "2005-05-16" @default.
• W2000494465 modified "2023-09-27" @default.
• W2000494465 title "Lubrication flow between a cavity and a flexible wall" @default.
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• W2000494465 doi "https://doi.org/10.1063/1.1914819" @default.
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