Application of Rabinowitsch Fluid Model to Pivoted Curved Slider Bearings

Abstract

In the present theoretical analysis, the combined effects of slider curvature and non-Newtonian pseudoplastic and dilatant lubricants (lubricant blended with viscosity index improver) on the steady and dynamic characteristics of pivoted curved slider bearings have been investigated for Rabinowitsch fluid model. The modified Reynolds equations have been obtained for steady and damping states of bearing. To solve the modified Reynolds equations, perturbation theory has been adopted. The results for the steady state characteristics (steady state film pressure, load carrying capacity and centre of pressure) and dynamic characteristics (dynamic damping and dynamic stiffness) have been calculated numerically for various values of viscosity index improver using Mathematica. In comparison with the Newtonian lubricants, higher values of film pressure, load carrying capacity, dynamic damping and dynamic stiffness have been obtained for dilatant lubricants, while the case was reversed for pseudoplastic lubricants. Significant variations in the bearing characteristics have been observed for even small values of pseudoplastic parameter, that is, with the non-Newtonian dilatant and pseudoplastic behaviour of the fluid.

Theoretical Analysis of Roll-over-web Coating of a Non-Newtonian Polymer Using Lubrication Approximation Theory

“…Where the volumetric flow rate λ 0 is still unknown in equation (41). It can be found from (40) using the symmetric condition where the velocity vanish at the separation point i.e., À x 0 , 1 2 hðx 0 Þ Á Finally, it comes…”

“…In this stage the Zeroth-order separation point x 0 is still unknown. We can find separation point by substituting the value of volumetric flow rate from (42) into (41) and replacing x by separation point x 0 and using the boundary condition p 0 ðx 0 Þ ¼ 0. We get a transcendental equation and after solving it, we find the separation point x 0 ¼ 2:4102: Substituting it into (42), the flow rate turns to be λ 0 ¼ 1:3015 as obtained.…”

“…Singh et al 40 investigated the influence of non-Newtonian Pseudoplastic and Dilatant lubricants on the dynamic stiffness and damping properties of pivoted curved slider bearings in their theoretical research. Singh et al 41 used the Rabinowitsch fluid model to investigate the combined impact of slider curvature and non-Newtonian pseudoplastic and dilatant lubricants on steady and dynamic characteristics of pivoted curved slider bearings. Hanumesh et al 42 studied the peristaltic mechanism of a Rabinowitsch liquid in an inclined porous channel.…”

Archive of Mechanical Engineering

“…Lin [33] studied the squeeze film characteristics between parallel annular disks. Singh [34] and Singh, Gupta and Kapur [35,36] investigated the effects of non-Newtonian pseudoplastic lubricants on the various performances of squeeze film, hydrodynamic sliders. Sharma and Yadav [37] presented the analysis of hydrostatic circular thrust pad bearing.…”

Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids

“…Slider bearings were analysed by Hashimoto [17] and Lin [18]. In recent years, Singh et al [10,[19][20][21] used Rabinowitsch fluid model to investigate the static and dynamic properties of various hydrodynamic, hydrostatic and squeeze film bearings. Singh et al [22][23][24] expanded the span of this fluid model to study the peristaltic motion of physiological fluids and got excellent results.…”