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

Eulerian and Lagrangian Flow Descriptions01:22

Eulerian and Lagrangian Flow Descriptions

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...
Laminar and Turbulent Flow01:07

Laminar and Turbulent Flow

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 streamlines...
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
Dimensionless Groups in Fluid Mechanics01:15

Dimensionless Groups in Fluid Mechanics

Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
Irrotational Flow01:28

Irrotational Flow

Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...

You might also read

Related Articles

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

Sort by
Same author

MR-AIV reveals in vivo brain-wide fluid flow with physics-informed AI.

Science advances·2026
Same author

Robust MR-AIV: A Systematic Study of Robustness Improvement and Sensitivity Analysis of MR-AIV.

bioRxiv : the preprint server for biology·2026
Same author

Quantifying cerebrospinal fluid flow in pial perivascular spaces of rats.

Fluids and barriers of the CNS·2026
Same author

A time-dependent, brain-wide model of solute transport in the glymphatic system.

Journal of the Royal Society, Interface·2026
Same author

Amyloidosis of bridging veins is a pathologic feature of Alzheimer's disease.

The Journal of experimental medicine·2025
Same author

Antidispersion in Flows in Leaky Channels.

Physical review letters·2025

Related Experiment Video

Updated: May 8, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Lagrangian coherent structures separate dynamically distinct regions in fluid flows.

Douglas H Kelley1, Michael R Allshouse, Nicholas T Ouellette

  • 1Department of Materials Science & Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 16, 2013
PubMed
Summary

Lagrangian coherent structures (LCS) in turbulent fluid flow separate distinct dynamics. LCSs lie at zeros of energy flux, revealing kinematically and dynamically separate fluid regions.

More Related Videos

Experimental Investigation of the Flow Structure over a Delta Wing Via Flow Visualization Methods
09:17

Experimental Investigation of the Flow Structure over a Delta Wing Via Flow Visualization Methods

Published on: April 23, 2018

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
09:58

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp

Published on: February 3, 2014

Related Experiment Videos

Last Updated: May 8, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Experimental Investigation of the Flow Structure over a Delta Wing Via Flow Visualization Methods
09:17

Experimental Investigation of the Flow Structure over a Delta Wing Via Flow Visualization Methods

Published on: April 23, 2018

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
09:58

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp

Published on: February 3, 2014

Area of Science:

  • Fluid Dynamics
  • Turbulence Theory
  • Nonlinear Dynamics

Background:

  • Turbulent fluid flows exhibit complex energy transfer across scales.
  • Lagrangian Coherent Structures (LCS) are key kinematic features in fluid flows.
  • Understanding scale-to-scale energy transport is crucial for turbulence research.

Purpose of the Study:

  • To investigate the spatial structure of scale-to-scale energy flux in turbulent flows.
  • To explore the relationship between energy flux and Lagrangian Coherent Structures (LCS).
  • To determine if LCSs delineate regions with distinct flow dynamics.

Main Methods:

  • Utilized filter-space techniques for analysis.
  • Calculated Lagrangian-averaged energy flux.
  • Compared Lagrangian and Eulerian energy flux properties.
  • Identified and analyzed LCSs within the flow field.

Main Results:

  • The spatial mean of the Lagrangian-averaged energy flux is similar to the Eulerian counterpart.
  • The spatial structure of the scale-to-scale energy flux significantly differs from the Eulerian average.
  • Features of the energy flux correlate with LCS positions.
  • LCSs were found to coincide with zeros of the scale-to-scale energy flux.

Conclusions:

  • LCSs act as boundaries separating regions of qualitatively different flow dynamics.
  • Fluid regions on either side of an LCS are both kinematically and dynamically distinct.
  • This study enhances the understanding of LCSs' role in fluid flow dynamics beyond kinematics.