VISCOELASTIC PROPERTIES IN PLANE SQUEEZE-FILM FLOWS

In this paper, we consider the problem of plane squeeze-film flows in a kinematics based on the formalism of convected (moving and deforming) coordinates. The flows discussed are treated as instantaneous motions with proportional stretch histories (cf. [16]). Certain simplifications in the constitutive equations of an incompressible simple fluid (cf. [10]) have been achieved for moderately low Deborah numbers. Approximate solutions of plane flows are obtained either for slightly viscoelastic fluids or in a form valid in the vicinity of any arbitrarily chosen instant of time. The conditions of improved lubrication, leading to inequalities imposed on material constants or kinematic quantities, are discussed in detail. Also, the necessary conditions are discussed under which the time-dependent distance between the plates may decrease non-monotonically, showing some bounces". © 1978."