Da Vinci’s friction for granular media

Abstract The concept of friction was integrated into the broader field of tribology in the 20th century. Here, we revive the older friction coefficient concept and show that it is the defining parameter for a family of granular materials. We show, for the first time, that kinetic friction coefficien...

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Main Authors: Assaf Miron, Rafael Tadmor, Victor Multanen, Shmulik Pinkert
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-83889-0
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author Assaf Miron
Rafael Tadmor
Victor Multanen
Shmulik Pinkert
author_facet Assaf Miron
Rafael Tadmor
Victor Multanen
Shmulik Pinkert
author_sort Assaf Miron
collection DOAJ
description Abstract The concept of friction was integrated into the broader field of tribology in the 20th century. Here, we revive the older friction coefficient concept and show that it is the defining parameter for a family of granular materials. We show, for the first time, that kinetic friction coefficients of such systems can be described as a function of the lubricating fluid and the shape of the granules, without any fitting parameters. With this, we define the value and conditions for the minimal friction of this system and show how it can increase depending on the properties of the system. This paper shows that the minimum possible friction for an assembly of granular media is the same universal constant of ¼ that da Vinci identified for kinetic friction between two rigid bodies.
format Article
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institution Kabale University
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publishDate 2025-01-01
publisher Nature Portfolio
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spelling doaj-art-725ad142db3c438e910be9246b52f0812025-01-05T12:17:13ZengNature PortfolioScientific Reports2045-23222025-01-011511710.1038/s41598-024-83889-0Da Vinci’s friction for granular mediaAssaf Miron0Rafael Tadmor1Victor Multanen2Shmulik Pinkert3Civil and Environmental Engineering Department, Faculty of Engineering Sciences, Ben- Gurion University of the NegevMechanical Engineering Department, Faculty of Engineering Sciences, Ben-Gurion University of the NegevMechanical Engineering Department, Faculty of Engineering Sciences, Ben-Gurion University of the NegevCivil and Environmental Engineering Department, Faculty of Engineering Sciences, Ben- Gurion University of the NegevAbstract The concept of friction was integrated into the broader field of tribology in the 20th century. Here, we revive the older friction coefficient concept and show that it is the defining parameter for a family of granular materials. We show, for the first time, that kinetic friction coefficients of such systems can be described as a function of the lubricating fluid and the shape of the granules, without any fitting parameters. With this, we define the value and conditions for the minimal friction of this system and show how it can increase depending on the properties of the system. This paper shows that the minimum possible friction for an assembly of granular media is the same universal constant of ¼ that da Vinci identified for kinetic friction between two rigid bodies.https://doi.org/10.1038/s41598-024-83889-0
spellingShingle Assaf Miron
Rafael Tadmor
Victor Multanen
Shmulik Pinkert
Da Vinci’s friction for granular media
Scientific Reports
title Da Vinci’s friction for granular media
title_full Da Vinci’s friction for granular media
title_fullStr Da Vinci’s friction for granular media
title_full_unstemmed Da Vinci’s friction for granular media
title_short Da Vinci’s friction for granular media
title_sort da vinci s friction for granular media
url https://doi.org/10.1038/s41598-024-83889-0
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