The paper presents a transient analysis technique for point contact elastohydrodynamic (EHL) lubrication problems using coupled elastic and hydrodynamic equations. Full coupling is made possible by use of a novel differential de ̄ection formulation. The way in which the differential de ̄ection is incorporated into the overall solution method for a point contact is discussed. A range of spatial an...

To facilitate fundamental study of the surface texturing effect on hydrodynamic lubrication, analytical and experimental tools are required. While there is an extensive amount of theoretical and analytical analyses in the literature, relevant experimental studies are much rarer. A detailed study requires techniques by which one can (a) produce micron-sized textures on a millimeter-scale area on...

The long-standing classical theory of lubrication in the fully hydrodynamic regime is essentially traced back on the assumptions of (i) a relatively slender gap formed by two rigid surfaces that exhibit a (counter-)sliding (and “squeezing”) motion in the specific reference frame, (ii) a Newtonian lubricant, (iii) the neglect of inertia terms in the Navier-Stokes equations, and (iv) strictly lam...

The paper shows the successive steps of approximation of Picard unification for the solution of the non-isothermal fluid flow in thin layer including inertia forces and apparent viscosities described by the non-linear dependences. In this paper is presented a unified semi analytical method of solution of the asymmetrical, laminar, steady and unsteady, non-Newtonian lubrication problem flow betw...

The study of deformations in dynamically and thermally loaded elastic solids has important applications in engineering. A wide literature exists on the numerical solution of dynamic thermo-elasticity problems via finite element methods (FEM). These methods include Laplace-transform FEMs and semi-discrete methods, whereby finite elements are used in space and finite differences are used in time....

Stokesian dynamics simulations of close particles are reported, taking into account lubrication forces and many-body hydrodynamic interactions between spheres. A periodic trajectory of three particles maintaining a permanent proximity to each other has been found and analyzed. This solution is used as a benchmark to study the accuracy and stability of various numerical integration schemes. In p...