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

Bernoulli's Equation for Flow Along a Streamline01:30

Bernoulli's Equation for Flow Along a Streamline

1.3K
Bernoulli's equation relates the energy conservation in a fluid moving along a streamline. The equation applies to incompressible and inviscid fluids under steady flow. For such a flow, Newton's second law is applied to a small fluid element, which experiences forces due to pressure differences, gravity, and velocity variations. The force balance leads to the following form of Bernoulli's equation:
1.3K
Bernoulli's Equation for Flow Normal to a Streamline01:16

Bernoulli's Equation for Flow Normal to a Streamline

1.1K
Bernoulli's equation for flow normal to a streamline explains how pressure varies across curved streamlines due to the outward centrifugal forces induced by the fluid's curvature. The pressure is higher on the inner side of the curve, near the center of curvature, and decreases outward to balance these centrifugal forces.
The pressure difference depends on the fluid's velocity and radius of curvature. The pressure variation is minimal in flows with nearly straight streamlines. However, the...
1.1K
Uniform Depth Channel Flow01:27

Uniform Depth Channel Flow

390
Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
390
Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

301
To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
301
Energy Considerations in Open Channel Flow01:27

Energy Considerations in Open Channel Flow

408
Open channel flow, where a fluid flows with a free surface exposed to the atmosphere, is primarily governed by gravitational and surface effects, distinguishing it from closed conduit or pipe flow. In open channels such as rivers, canals, and artificial channels, energy analysis provides valuable insights into flow behavior and the relationship between depth, velocity, and slope.Specific Energy and Flow DepthIn open channel flow, the specific energy, E, combines the gravitational potential...
408
Rapidly Varying Flow01:24

Rapidly Varying Flow

274
Rapidly varying flow (RVF) in open channels is characterized by abrupt changes in flow depth over a short distance, with the rate of depth change relative to distance often approaching unity. These flows are inherently complex due to their transient and multi-dimensional nature, making exact analysis difficult. However, approximate solutions using simplified models provide valuable insights into their behavior.Key Features of Rapidly Varying FlowRVF is commonly observed in scenarios involving...
274

You might also read

Related Articles

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

Sort by
Same journal

Research on a Regional Availability Evaluation Model for Road-Area High-Entropy Energy Based on Synergy Factors.

Entropy (Basel, Switzerland)·2026
Same journal

Atmospheric Turbulence Channel Modeling and Performance Analysis of a CO-ZP-OFDM Coherent Optical Communication System for UAV Air-to-Ground Scenarios.

Entropy (Basel, Switzerland)·2026
Same journal

Information Geometry and Asymptotic Theory for SMML Estimators.

Entropy (Basel, Switzerland)·2026
Same journal

Correlation Entropy and Power-Law Kinetics.

Entropy (Basel, Switzerland)·2026
Same journal

Research on the Contagion of Systemic Financial Risk Under the Impact of Climate Risks-From the Perspective of Complex Networks and Machine Learning.

Entropy (Basel, Switzerland)·2026
Same journal

The Statistical-Mechanical Meaning of the Wave Function of Quantum Mechanics.

Entropy (Basel, Switzerland)·2026

Related Experiment Video

Updated: Nov 27, 2025

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
12:26

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics

Published on: August 27, 2013

17.5K

Transitional Channel Flow: A Minimal Stochastic Model.

Paul Manneville1, Masaki Shimizu2

  • 1LadHyX, École Polytechnique, CNRS, Institut Polytechnique de Paris, 91128 Palaiseau, France.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary

This study introduces a minimal stochastic model to explain turbulence decay in channel flows, linking it to directed percolation (DP). The model simulates band dynamics and predicts flow transitions to laminar states.

Keywords:
critical phenomenadirected percolationplane Poiseuille flowspatiotemporal intermittencytransition to/from turbulencewall-bounded shear flow

More Related Videos

Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique
10:12

Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique

Published on: June 12, 2015

9.3K
The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

8.9K

Related Experiment Videos

Last Updated: Nov 27, 2025

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
12:26

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics

Published on: August 27, 2013

17.5K
Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique
10:12

Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique

Published on: June 12, 2015

9.3K
The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

8.9K

Area of Science:

  • Fluid Dynamics
  • Statistical Physics
  • Nonlinear Dynamics

Background:

  • Turbulence onset and decay in wall-bounded flows are complex phenomena.
  • Pomeau's conjecture suggests a connection between directed percolation (DP) and turbulence decay.
  • Spatially intermittent regimes precede the return to laminar flow in channel flows.

Purpose of the Study:

  • To propose a minimal stochastic model for interpreting spatially intermittent regimes in channel flow turbulence decay.
  • To investigate the transition from turbulent to laminar flow using a probabilistic cellular automaton.
  • To explore the analogy between flow bifurcations and thermodynamic phase transitions.

Main Methods:

  • Development of a probabilistic cellular automaton model based on evolving von Neumann neighborhoods.
  • Simulation of band propagation, longitudinal splitting, and transversal splitting processes.
  • Analysis of model behavior, including bifurcations and decay to laminar flow.

Main Results:

  • The model reproduces a regime with obliquely drifting bands that bifurcates into an asymmetrical state before decaying to laminar flow.
  • The decay stage exhibits one-dimensional directed percolation (DP) properties in a two-dimensional geometry.
  • A bifurcation restoring symmetry was reproduced by varying the probability of transversal splitting.

Conclusions:

  • The minimal stochastic model successfully interprets turbulence decay in channel flows, aligning with directed percolation concepts.
  • The model's ability to reproduce bifurcations opens avenues for studying critical phenomena analogous to phase transitions.
  • The irrelevance of lateral spreading is key to the observed one-dimensional DP properties during flow decay.