Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Typical Model Studies01:30

Typical Model Studies

543
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
543
Laminar and Turbulent Flow01:07

Laminar and Turbulent Flow

10.3K
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...
10.3K
Modeling and Similitude01:12

Modeling and Similitude

505
Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
505
Navier–Stokes Equations01:28

Navier–Stokes Equations

1.8K
For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
1.8K
Turbulent Flow01:24

Turbulent Flow

544
Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent...
544
Design Example: Creating a Hydraulic Model of a Dam Spillway01:21

Design Example: Creating a Hydraulic Model of a Dam Spillway

554
Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
554

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Contact Line Catch Up by Growing Ice Crystals.

Physical review letters·2022
Same author

Randomness and Irreversiblity in Quantum Mechanics: A Worked Example for a Statistical Theory.

Entropy (Basel, Switzerland)·2021
Same author

Modeling of aerosol transmission of airborne pathogens in ICU rooms of COVID-19 patients with acute respiratory failure.

Scientific reports·2021
Same author

Dimple drainage before the coalescence of a droplet deposited on a smooth substrate.

Proceedings of the National Academy of Sciences of the United States of America·2020
Same author

Cutting and Slicing Weak Solids.

Physical review letters·2020
Same author

Boltzmann-type collision operators for Bogoliubov excitations of Bose-Einstein condensates: A unified framework.

Physical review. E·2020

Related Experiment Video

Updated: Dec 13, 2025

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

9.0K

Scaling laws in turbulence.

Christophe Josserand1, Martine Le Berre1, Yves Pomeau1

  • 1Ladhyx (CNRS UMR 7646), Ecole Polytechnique, 91128 Palaiseau, France.

Chaos (Woodbury, N.Y.)
|August 6, 2020
PubMed
Summary
This summary is machine-generated.

High Reynolds number turbulence scaling laws depend only on Euler equations, excluding viscosity. A new model relates turbulent wake Reynolds stress to velocity fields, solved for pipe flow.

More Related Videos

Simultaneous Measurement of Turbulence and Particle Kinematics Using Flow Imaging Techniques
10:53

Simultaneous Measurement of Turbulence and Particle Kinematics Using Flow Imaging Techniques

Published on: March 12, 2019

7.4K
Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
13:02

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow

Published on: February 27, 2016

12.8K

Related Experiment Videos

Last Updated: Dec 13, 2025

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

9.0K
Simultaneous Measurement of Turbulence and Particle Kinematics Using Flow Imaging Techniques
10:53

Simultaneous Measurement of Turbulence and Particle Kinematics Using Flow Imaging Techniques

Published on: March 12, 2019

7.4K
Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
13:02

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow

Published on: February 27, 2016

12.8K

Area of Science:

  • Fluid Dynamics
  • Turbulence Theory
  • High Reynolds Number Flows

Background:

  • Turbulence dissipation at high Reynolds numbers is theorized to be dominated by singular spacetime events.
  • This suggests scaling laws should depend solely on inviscid Euler equations, excluding parameters like viscosity or turbulent length scales.

Purpose of the Study:

  • To investigate scaling laws in high Reynolds number turbulence based on Euler equations.
  • To propose a model for Reynolds stress in turbulent wakes, inspired by Newton's drag law.
  • To solve this model for a specific case of Poiseuille flow in a circular pipe.

Main Methods:

  • Analysis of turbulence based on inviscid Euler equations.
  • Development of a model relating Reynolds stress to velocity fields using an integrodifferential equation.
  • Solving the derived integrodifferential equation for Poiseuille flow.

Main Results:

  • Demonstrated that scaling laws in high Reynolds number turbulence are independent of viscosity.
  • Proposed an explicit relationship for Reynolds stress in turbulent wakes.
  • Successfully solved the model for Poiseuille flow in a circular pipe.

Conclusions:

  • Scaling laws in high Reynolds number turbulence are fundamentally governed by Euler equations.
  • The proposed model provides a new framework for understanding turbulent wake dynamics.
  • The findings have implications for predicting drag and flow behavior in various engineering applications.