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Viscosity

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Viscosity is a fundamental physical property that describes a fluid's internal resistance to flow. It is often described as the "stickiness" of a liquid or gas. When different layers of a fluid move at different speeds, a friction force develops between them. This force causes the slower layer to act on the faster layer, attempting to slow it down.

This internal friction is essential to understanding how liquids and gases behave in everything from small pipes to massive oceans.

The mechanism of viscosity depends on the state of the matter. In liquids, viscosity arises from cohesive molecular forces, which are the forces that pull molecules together. In gases, viscosity results from molecular collisions between particles.

Laminar shear
Laminar shear

When a viscous fluid is forced through a tube, it does not move at the same speed everywhere. It flows more quickly near the center line and more slowly near the walls. To maintain this flow, a specific amount of stress, such as a pressure difference, must be applied to overcome the friction between the moving layers.

Scientists often study this behavior using a model called a planar Couette flow. In this setup, a fluid is trapped between two large, parallel plates. One plate remains fixed while the other moves at a constant speed.

Laminar shear flow
Laminar shear flow

If the speed is low enough to avoid turbulence, the fluid particles move in parallel layers. The speed of the fluid varies from zero at the bottom plate to the full speed of the top plate. This creates a velocity gradient, where each layer moves faster than the one below it. An external force is required to keep the top plate moving because the fluid applies a resisting force against it.

There are two primary ways to measure this property: dynamic and kinematic viscosity. Dynamic viscosity, often represented by the Greek letter mu (μ), measures the relationship between viscous stresses and the rate of deformation. Its SI unit is the pascal-second (Pa·s).

Viscous regimes chart
Viscous regimes chart

Kinematic viscosity, represented by the Greek letter nu (ν), is the ratio of dynamic viscosity to the fluid's density. It is also known as momentum diffusivity. While dynamic viscosity focuses on the force required to move the fluid, kinematic viscosity describes how easily momentum moves through the substance.

Fluids are categorized based on how their viscosity reacts to force. Newtonian fluids are those where the viscosity does not change significantly with the rate of deformation. Common examples include water and many gases. However, many materials are non-Newtonian. These fluids can change their thickness depending on how they are moved. Some non-Newtonian flows are time-independent, such as pseudoplastic, plastic, or dilatant flows. Others are time-dependent, such as thixotropic or rheopectic flows.

Runny hunny
Runny hunny

Viscosity is not a constant value for a single substance; it changes based on environmental conditions. A fluid's viscosity depends on its temperature, pressure, and the rate of deformation. For most fluids, temperature plays a major role in how thick they feel. Additionally, the second law of thermodynamics implies that all fluids must have positive viscosity. The only exception is superfluidity, where a fluid can have zero viscosity at extremely low temperatures. A fluid with no viscosity is called an ideal or inviscid fluid.

Understanding viscosity is vital for many scientific fields. In transport theory, viscosity is viewed as the property that characterizes momentum transport. This is similar to how thermal conductivity describes heat transport or how diffusivity describes mass transport.

University of Queensland Pitch drop experiment-white bg
University of Queensland Pitch drop experiment-white bg

Just as heat flows from hot to cold, momentum flows from high-velocity layers to low-velocity layers. This concept allows engineers to predict how much energy will be lost in systems involving moving fluids, such as sound waves or shock waves.

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🖼️ Images & Media (10)
File:Viscosities.gif
Viscosities.gif
File:Laminar shear.svg
Laminar shear.svg
File:Laminar shear flow.svg
Laminar shear flow.svg
File:Viscous regimes chart.png
Viscous regimes chart.png
Viscosity video science museum.ogv
09. Вискозност на течности.ogg
File:Glassviscosityexamples.png
Glassviscosityexamples.png
File:B2O3 viscosoty.jpg
B2O3 viscosoty.jpg
File:University of Queensland Pitch drop experiment-white bg.jpg
University of Queensland Pitch drop...
File:Runny hunny.jpg
Runny hunny.jpg
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