An Investigation into the Validity of the Temperature Profile Approximations across the Film Thickness in THD Analysis of Infinitely Wide Slider Bearing

Abstract

Many investigators have frequently assumed polynomial temperature profiles across the film thickness in the mathematical modeling of lubricating films in the hydrodynamic bearings in order to make computations simpler. Thus, to verify the validity of such temperature profile approximations in computations, it is essential to access the accuracy of results achieved with such approximations. In this study two different temperature profile approximations (Legendre polynomial and Parabolic polynomial) across the film thickness in energy equation have been assumed and comparison of computed results with these two temperature approximations have been carried out. The results obtained have been examined for their accuracies. Based on the present analysis, it has been observed that the temperature approximation across the film thickness taken by Legendre polynomial yields more accurate results in comparison to parabolic temperature profile assumption.

A study of thermal effects in an offset‐halves journal bearing profile using different grade oils

“…The temperatures obtained by PTPA method have been observed to be on the lower side. It is pertinent to add here that the temperatures computed by this approach have been reported to be on lower side in comparison with the Legendre polynomial temperature profile approximation . Further, it has been observed that the load‐carrying capacity increases with the eccentricities (Figure ) and the same is found to be in line with the results obtained by Singh and Majumdar …”

Optimal profiles for one dimensional slider bearings under technological constraints

“…Sliding velocity usually ranges between 2 and 15 m/s [6,7,15] but velocities ranging between 10 and 40 m/s [8,35] or 40 and 115 m/s [34] are also found in practice. Sliding bearings operating at higher speed have higher load carrying capacity but also a higher temperature of the lubricant film.…”

“…Bearing lengths may be of the order of millimeters [8] or may range between 1 and 18 cm [7,15,35]. The dimensionless quantitŷ l l=l ref is now defined, where the reference value l ref ¼ 0:01 m is the bearing length in Table 5.…”

“…Many film thicknesses range between 20 and 100 μm [34,35] or slightly higher [6,23] but films thicker than 1 mm are often considered [7,15].…”

Application of Rabinowitsch Fluid Model to Pivoted Curved Slider Bearings

“…The dynamic analysis of the slider and other bearings has also been the centre of attention of various researchers in recent decades. In the direction of dynamic analysis of bearings in recent years, the contributions of Sharma and Pandey [14] on infinitely wide slider bearing, Gautam [15] on annular seals, Tsuchiama et. al [16] on slider bearing and Gautam et.…”