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Related Concept Videos

Eulerian and Lagrangian Flow Descriptions01:22

Eulerian and Lagrangian Flow Descriptions

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Fluid flow analysis is critical in many scientific and engineering disciplines, and two principal approaches are used to describe this flow: the Eulerian and Lagrangian methods. These methods offer different perspectives on monitoring and analyzing the motion of fluids, each with distinct advantages depending on the scenario.
The Eulerian method focuses on fixed points in space where fluid properties, such as velocity, pressure, and temperature, are observed as the fluid moves between these...
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Laminar and Turbulent Flow01:07

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Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the...
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Energy Conservation and Bernoulli's Equation01:16

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Applying the conservation of energy principle or the work-energy theorem to an incompressible, inviscid fluid in laminar, steady, irrotational flow leads to Bernoulli's equation. It states that the sum of the fluid pressure, potential, and kinetic energy per unit volume is constant along a streamline.
All the terms in the equation have the dimension of energy per unit volume. The kinetic energy per unit volume is called the kinetic energy density, and the potential energy per unit volume is...
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Kinetic Molecular Theory: Molecular Velocities, Temperature, and Kinetic Energy03:07

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The kinetic molecular theory qualitatively explains the behaviors described by the various gas laws. The postulates of this theory may be applied in a more quantitative fashion to derive these individual laws.
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Euler's Equations of Motion01:28

Euler's Equations of Motion

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In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains...
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Bernoulli's Equation00:59

Bernoulli's Equation

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In the middle of the nineteenth century, it was observed that two trains passing each other at a high relative speed get pulled towards each other. The same occurs when two cars pass each other at a high relative speed. The reason is that the fluid pressure drops in the region where the fluid speeds up. As the air between the trains or the cars increases in speed, its pressure reduces. The pressure on the outer parts of the vehicles is still the atmospheric pressure, while the resultant...
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Related Experiment Video

Updated: Aug 9, 2025

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
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Kinetic Theory-Based Methods in Fluid Dynamics.

Zhen Chen1, Liangqi Zhang2, Liming Yang3

  • 1School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China.

Entropy (Basel, Switzerland)
|February 25, 2023
PubMed
Summary
This summary is machine-generated.

Kinetic theory provides a framework for understanding systems using statistical mechanics. This approach bridges the gap between microscopic particle behavior and macroscopic properties.

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Area of Science:

  • Statistical mechanics
  • Mesoscopic scale phenomena

Background:

  • Foundation of kinetic theory in statistical mechanics.
  • Application of statistical mechanics at the mesoscopic level.

Discussion:

  • Exploring the statistical underpinnings of kinetic theory.
  • Bridging microscopic and macroscopic scales.

Key Insights:

  • Kinetic theory's reliance on statistical mechanics.
  • The mesoscopic scale as a foundational level.

Outlook:

  • Future directions in mesoscopic statistical mechanics.
  • Expanding kinetic theory applications.