Abstract
The elastohydrodynamic force on two slightly deformable bodies approaching one another head on is calculated in the limit of small gap sizes and small deformations by combining Hertz's theory of deformation and lubrication theory. An expression for the lubrication force analytical in the deformation and gap size is obtained. The effect of the gap size, the elasticity and the velocity of approach on the lubrication force is demonstrated. Further, the lubrication force with a pressure dependent viscosity is calculated.
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