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Frictional Force

Frictional Force

When a body is in motion, it encounters resistance because the body interacts with its surroundings. This resistance is known as friction, a common yet complex force whose behavior is still not completely understood. Friction opposes relative motion between systems in contact, but also allows us to move. Friction arises in part due to the roughness of surfaces in contact. For one object to move along a surface, it must rise to where the peaks of the surface can skip along the bottom of the...

Characteristics of Dry Friction

Characteristics of Dry Friction

Dry friction occurs when two solid surfaces slide against each other without any lubrication or fluid present. It causes resistance when pushing objects along a surface, like a gardener pushing a wheelbarrow. The force applied to move the cart causes dry friction between the wheel and the ground.
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...

Dry Friction

Dry Friction

Dry friction occurs between two solid surfaces in contact as they attempt to move relative to one another. In daily life, dry friction is encountered in various forms, such as when walking on the ground, sliding an object across a table, or rubbing hands together. Despite its ubiquity, the underlying mechanisms behind dry friction are not readily visible.
To illustrate this concept, imagine a wooden crate resting on a rough, non-uniform horizontal surface. When an external force is applied to...

Kinetic Friction

Kinetic Friction

Consider a truck trying to pull a stationary car. As the truck exerts a force on the car, static friction is created at the point of contact between the two surfaces. This frictional force resists the car's movement and keeps it at rest. However, when the applied force by the truck surpasses the limiting static frictional force, an interesting phenomenon occurs. The frictional force at the interface reduces to a lower value, known as the kinetic frictional force. At this point, the car begins...

Static and Kinetic Frictional Force

Static and Kinetic Frictional Force

One of the simpler characteristics of sliding friction is that it is parallel to the contact surfaces between systems, and is always in a direction that opposes the motion or attempted motion of the systems relative to each other. If two systems are in contact and moving relative to one another, then the friction between them is called kinetic friction. For example, kinetic friction slows a hockey puck sliding on ice.
However, if two systems are in contact and are stationary relative to one...

Types of Friction Problems

Types of Friction Problems

Friction is an essential concept in physics, engineering, and everyday life. It is the force that opposes the relative motion or tendency of such motion between two surfaces in contact. One of the most common types of friction encountered in various applications is dry friction. Dry friction problems can be broadly categorized into three types, each with unique characteristics and challenges.
The first type of dry friction problem involves situations where there is no apparent impending motion.

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Measuring the Interaction Force Between a Droplet and a Super-hydrophobic Substrate by the Optical Lever Method

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On the Green-Kubo relationship for the liquid-solid friction coefficient.

Lydéric Bocquet¹, Jean-Louis Barrat

¹Institut Lumière Matière, Université Lyon 1-CNRS, UMR 5306, Université de Lyon, 69622 Villeurbanne cedex, France.

The Journal of Chemical Physics

|August 2, 2013

Summary

We present a novel derivation of the Green-Kubo relationship for liquid-solid friction. This method reveals complex wall-liquid dynamics and superdiffusive motion at interfaces.

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Published on: June 14, 2019

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Area of Science:

Physics
Physical Chemistry
Materials Science

Background:

Hydrodynamic slippage at liquid-solid interfaces is crucial in various physical and chemical processes.
Understanding the friction coefficient at these interfaces is essential for predicting fluid behavior near surfaces.
Existing models often simplify the complex dynamics at the wall-liquid boundary.

Purpose of the Study:

To derive a new Green-Kubo relationship for the liquid-solid friction coefficient.
To characterize hydrodynamic slippage at a wall using a generalized Langevin approach.
To elucidate the subtleties of wall-liquid dynamics and their impact on interfacial phenomena.

Main Methods:

A general Langevin approach is employed to model the fluctuating wall velocity.
A non-Markovian memory kernel with a vanishing time integral is incorporated.
The derivation focuses on the interplay between wall motion and liquid dynamics.

Main Results:

A new derivation for the Green-Kubo relationship for the liquid-solid friction coefficient is established.
The calculation highlights non-trivial wall-liquid dynamics.
Superdiffusive motion of the fluctuating wall position is observed.

Conclusions:

The proposed derivation offers a more comprehensive understanding of liquid-solid friction.
The findings shed light on the complex dynamics governing hydrodynamic slippage.
This work provides a foundation for further studies on interfacial transport phenomena.