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

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 comput...

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Main Authors: R. K. Sharma, R. K. Pandey
Format: Article
Language:English
Published: Japanese Society of Tribologists 2006-09-01
Series:Tribology Online
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/trol/1/1/1_1_19/_pdf/-char/en
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author R. K. Sharma
R. K. Pandey
author_facet R. K. Sharma
R. K. Pandey
author_sort R. K. Sharma
collection DOAJ
description 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.
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spelling doaj.art-7d3be3dcdedf4444bd8fda9762a4922e2022-12-21T19:19:59ZengJapanese Society of TribologistsTribology Online1881-21982006-09-0111192410.2474/trol.1.19trolAn Investigation into the Validity of the Temperature Profile Approximations across the Film Thickness in THD Analysis of Infinitely Wide Slider BearingR. K. Sharma0R. K. Pandey1Industrial Tribology Machine Dynamics andMaintenance Engineering Centre (ITMMEC), I. I. T. DelhiIndustrial Tribology Machine Dynamics andMaintenance Engineering Centre (ITMMEC), I. I. T. DelhiMany 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.https://www.jstage.jst.go.jp/article/trol/1/1/1_1_19/_pdf/-char/entemperature approximation across the film thicknesslegendre polynomialparabolic approximationthermohydrodynamic lubricationinfinitely wide slider bearing
spellingShingle R. K. Sharma
R. K. Pandey
An Investigation into the Validity of the Temperature Profile Approximations across the Film Thickness in THD Analysis of Infinitely Wide Slider Bearing
Tribology Online
temperature approximation across the film thickness
legendre polynomial
parabolic approximation
thermohydrodynamic lubrication
infinitely wide slider bearing
title An Investigation into the Validity of the Temperature Profile Approximations across the Film Thickness in THD Analysis of Infinitely Wide Slider Bearing
title_full An Investigation into the Validity of the Temperature Profile Approximations across the Film Thickness in THD Analysis of Infinitely Wide Slider Bearing
title_fullStr An Investigation into the Validity of the Temperature Profile Approximations across the Film Thickness in THD Analysis of Infinitely Wide Slider Bearing
title_full_unstemmed An Investigation into the Validity of the Temperature Profile Approximations across the Film Thickness in THD Analysis of Infinitely Wide Slider Bearing
title_short An Investigation into the Validity of the Temperature Profile Approximations across the Film Thickness in THD Analysis of Infinitely Wide Slider Bearing
title_sort investigation into the validity of the temperature profile approximations across the film thickness in thd analysis of infinitely wide slider bearing
topic temperature approximation across the film thickness
legendre polynomial
parabolic approximation
thermohydrodynamic lubrication
infinitely wide slider bearing
url https://www.jstage.jst.go.jp/article/trol/1/1/1_1_19/_pdf/-char/en
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