Why homogenization should be the averaging method of choice in hydrodynamic lubrication

For the computation of the hydrodynamic pressure distribution in fluid film lubrication problems, averaging techniques are frequently used for applications with rough or textured surfaces to reduce the computational cost. The present work shows the excellent suitability of homogenization for this pu...

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Autores principales: Michael Rom, Florian König, Siegfried Müller, Georg Jacobs
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Lenguaje:EN
Publicado: Elsevier 2021
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Acceso en línea:https://doaj.org/article/f4d8b6304b644bdf8a448e4a2841fe62
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spelling oai:doaj.org-article:f4d8b6304b644bdf8a448e4a2841fe622021-12-01T05:06:14ZWhy homogenization should be the averaging method of choice in hydrodynamic lubrication2666-496810.1016/j.apples.2021.100055https://doaj.org/article/f4d8b6304b644bdf8a448e4a2841fe622021-09-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666496821000212https://doaj.org/toc/2666-4968For the computation of the hydrodynamic pressure distribution in fluid film lubrication problems, averaging techniques are frequently used for applications with rough or textured surfaces to reduce the computational cost. The present work shows the excellent suitability of homogenization for this purpose. For comparison, the most frequently applied averaging method is used: the average flow model by Patir and Cheng. The two models are briefly summarized to show the similarity of the formulations, resulting in the same implementation effort. By means of two textured applications, the superiority of the homogenization method is demonstrated and errors inherent in the average flow model are quantified. Homogenization provides averaged pressure distributions with a significantly higher accuracy and allows for efficiently restoring local information to resolve pressure peaks by computing a higher-order solution. The latter is an accurate approximation of the solution of the original Reynolds equation and can be obtained with negligible additional computational cost. Further important advantages of the homogenization method such as its extensibility to simultaneously account for roughness and textures are pointed out.Michael RomFlorian KönigSiegfried MüllerGeorg JacobsElsevierarticleHomogenizationPatir and Cheng’s average flow modelReynolds equationHydrodynamic lubricationTextured bearingNumerical investigationEngineering (General). Civil engineering (General)TA1-2040ENApplications in Engineering Science, Vol 7, Iss , Pp 100055- (2021)
institution DOAJ
collection DOAJ
language EN
topic Homogenization
Patir and Cheng’s average flow model
Reynolds equation
Hydrodynamic lubrication
Textured bearing
Numerical investigation
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle Homogenization
Patir and Cheng’s average flow model
Reynolds equation
Hydrodynamic lubrication
Textured bearing
Numerical investigation
Engineering (General). Civil engineering (General)
TA1-2040
Michael Rom
Florian König
Siegfried Müller
Georg Jacobs
Why homogenization should be the averaging method of choice in hydrodynamic lubrication
description For the computation of the hydrodynamic pressure distribution in fluid film lubrication problems, averaging techniques are frequently used for applications with rough or textured surfaces to reduce the computational cost. The present work shows the excellent suitability of homogenization for this purpose. For comparison, the most frequently applied averaging method is used: the average flow model by Patir and Cheng. The two models are briefly summarized to show the similarity of the formulations, resulting in the same implementation effort. By means of two textured applications, the superiority of the homogenization method is demonstrated and errors inherent in the average flow model are quantified. Homogenization provides averaged pressure distributions with a significantly higher accuracy and allows for efficiently restoring local information to resolve pressure peaks by computing a higher-order solution. The latter is an accurate approximation of the solution of the original Reynolds equation and can be obtained with negligible additional computational cost. Further important advantages of the homogenization method such as its extensibility to simultaneously account for roughness and textures are pointed out.
format article
author Michael Rom
Florian König
Siegfried Müller
Georg Jacobs
author_facet Michael Rom
Florian König
Siegfried Müller
Georg Jacobs
author_sort Michael Rom
title Why homogenization should be the averaging method of choice in hydrodynamic lubrication
title_short Why homogenization should be the averaging method of choice in hydrodynamic lubrication
title_full Why homogenization should be the averaging method of choice in hydrodynamic lubrication
title_fullStr Why homogenization should be the averaging method of choice in hydrodynamic lubrication
title_full_unstemmed Why homogenization should be the averaging method of choice in hydrodynamic lubrication
title_sort why homogenization should be the averaging method of choice in hydrodynamic lubrication
publisher Elsevier
publishDate 2021
url https://doaj.org/article/f4d8b6304b644bdf8a448e4a2841fe62
work_keys_str_mv AT michaelrom whyhomogenizationshouldbetheaveragingmethodofchoiceinhydrodynamiclubrication
AT floriankonig whyhomogenizationshouldbetheaveragingmethodofchoiceinhydrodynamiclubrication
AT siegfriedmuller whyhomogenizationshouldbetheaveragingmethodofchoiceinhydrodynamiclubrication
AT georgjacobs whyhomogenizationshouldbetheaveragingmethodofchoiceinhydrodynamiclubrication
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