Derive the force exerted by the plate

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A circular plate of radius R is pushed against an oil film of viscosity μ on a horizontal substrate and moves with a velocity of w to substrate. The Lapiactian for the cylindrical coordinate system is given by

where r and θ represent the radius and angle of the cylindrical coordinate system. Derive the force exerted by the plate and the damping coefficient as functions of the plate radius, viscosity, and oil fi lm thickness.

Reference no: EM131347475

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