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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Format: | Article |
Language: | English |
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Japanese Society of Tribologists
2006-09-01
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Series: | Tribology Online |
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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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format | Article |
id | doaj.art-7d3be3dcdedf4444bd8fda9762a4922e |
institution | Directory Open Access Journal |
issn | 1881-2198 |
language | English |
last_indexed | 2024-12-21T01:47:17Z |
publishDate | 2006-09-01 |
publisher | Japanese Society of Tribologists |
record_format | Article |
series | Tribology Online |
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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