This paper presents the application of the method of generalized differential quadrature (GDQ) for the analysis of hydrodynamic thrust bearings. GDQ is a simple, efficient, high-order numerical technique and it uses the information on all grid points to approach the derivatives of the unknown function. The effectiveness of the solution technique is verified by comparing the GDQ computed results...

A suspension confined between two close parallel plates is studied in the Stokesian regime. The use of boundary integral equations and the lubrication approximation allows to compute the hydrodynamic forces acting on the particles. The forces are long ranged and depend on the orientation of the relative position and velocity of particles. This tensorial character predicts an ‘‘antidrag’’ that i...

In this work, we are mainly interested in modelling a particular lubrication regime known as Elastohydrodynamic (EHD). The pressure generated in the conjunction is high enough to induce a significant elastic deformation of the contacting bodies. Therefore a strong coupling between hydrodynamic and elastic effects is involved. A finite element full-system approach is used to model the lubricant ...

We study the lubricated sliding of a rigid cylinder on viscoelastic half space with single characteristic retardation time. Besides generalized inverse Hersey number $$\beta$$ , which is sole parameter governing elastic lubrication, lubrication solution depends two additional dimensionless parameters: $$\alpha$$ and $$f$$ . time divided by for to move one contact width f determines strength vis...

The influence of the ambient pressure on load capacity near-field acoustic levitation is studied. Theoretical models based radiation and hydrodynamic lubrication theory are built, taking into account changes pressure. Both simulation measured results show that force positively proportional to increased by 4–5 times at an 0.5 MPa. A maximum 0.309 MPa obtained.