Abstract
The use of additives (polyisobutylene, ethylene-propylene, lithium hydroxy stearate, hydrophobic silica, etc.) changes lubricants’ rheology due to which they show pseudoplastic and dilatant nature, which can be modelled as cubic stress fluid model (Rabinowitsch fluid model). The present theoretical analysis investigates the effects of non-Newtonian pseudoplastic and dilatant lubricants on the squeezing characteristics of a sphere and a flat plate. The modified Reynolds equation has been derived and an asymptotic solution for film pressure is obtained. The results for the film pressure distribution, load carrying capacity, and squeezing time characteristics have been calculated for various values of pseudoplastic parameter and compared with the Newtonian results. These characteristics show a significant variation with the non-Newtonian pseudoplastic and dilatant behavior of the fluids.
Highlights
Squeeze film between a sphere and plate is observed in various machine elements such as ball bearings, cam and followers, and gears
The mechanical action leading to the generation of high pressure at the contacts [1,2,3,4] changes the rheology of the lubricants such as viscosity and density which account for the performance characteristics of machine elements
The objective of this paper is to extend the results [18,19,20,21] to squeeze film characteristics between a sphere and a plate by introducing a quantitative analysis using Rabinowitsch fluid model, which accounting for the effect of additives in the lubricant
Summary
Squeeze film between a sphere and plate is observed in various machine elements such as ball bearings, cam and followers, and gears. Variation of the viscosity causes the instability of the lubricants’ nature by changing its shearing stress-strain rate relation due to which the estimated characteristics of lubricated contacts such as sphere-plate contacts (point contacts) may deviate from the desired value. This situation is avoided by enhancing the efficiency of stabilizing properties of lubricants by the addition of additives (polyisobutylene, ethylene propylene, etc.). The shearing stress-strain relation in this model for one-dimensional fluid flow is given by τrz
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