Da Vinci's friction for granular media
Assaf Miron1, Rafael Tadmor2, Victor Multanen3
1Civil and Environmental Engineering Department, Faculty of Engineering Sciences, Ben- Gurion University of the Negev, Beer-Sheva, Israel.
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.
Related Concept Videos
Characteristics of Dry Friction
Before the wheelbarrow starts moving, the static frictional force acts tangentially to the contact surface, opposing the force that is about to induce the motion. This frictional force prevents the...
Types of Friction Problems
The first type of dry friction problem involves situations where there is no apparent impending motion....
Frictional Force
Frictional Forces on Flat Belts
Static and Kinetic Frictional Force
However, if two systems are in contact and are stationary relative to one...
Dry Friction
To illustrate this concept, imagine a wooden crate resting on a rough, non-uniform horizontal surface. When an external force is applied to...


