Abstract
Combined effects of surface roughness and viscosity-pressure dependency on the couple stress squeeze film characteristics of parallel circular plates are presented. On the basis of Christensen’s stochastic theory, two types of one-dimensional roughness structures, namely, the radial roughness and azimuthal roughness patterns, are considered and the stochastic modified Reynolds equation for these two types of roughness patterns is derived for Stokes couple stress fluid by taking into account variation of viscosity with pressure. The standard perturbation technique is employed to solve the averaged Reynolds equation and closed form expressions for the mean fluid film pressure, load carrying capacity, and squeeze film time are obtained. It is found that the effects of couple stresses and viscosity-pressure dependency are to increase the load carrying capacity, and squeeze film time for both types of roughness patterns. The effect of azimuthal (radial) roughness pattern is to increase (decrease) these squeeze film characteristics as compared to the corresponding smooth case.
Highlights
Applications of squeeze film mechanisms are observed in many areas of applied science and industrial engineering, such as machine tools, gears, bearings, rolling elements, automotive engines, and synovial joints
The Stokes microcontinuum theory [6] is the simplest theory that allows for polar effects such as the presence of couple stresses and body couples
A number of studies have applied the Stokes microcontinuum theory to investigate the effect of couple stresses on the performance of different types of fluid-film bearings
Summary
Applications of squeeze film mechanisms are observed in many areas of applied science and industrial engineering, such as machine tools, gears, bearings, rolling elements, automotive engines, and synovial joints. With the development of modern machine equipment, the increasing use of fluids containing microstructures such as additives, suspensions, and long-chained polymers; for example, the length of the polymer chain may be a million times the diameter of water molecule, has received great attention in recent year. Due to this special structure of the lubricant fluid and due to the other additives, the Newtonian fluid approximation (which neglects the size of fluid particles) is not a satisfactory engineering approach. The effects of couple stresses on the static and dynamic behaviour of the squeeze film lubrication of narrow porous journal bearings are analyzed by Naduvinamani et al [10, 11]
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