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

Dimensionless Groups in Fluid Mechanics01:15

Dimensionless Groups in Fluid Mechanics

331
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...
331
Couette Flow01:22

Couette Flow

258
Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
258
Bernoulli's Equation for Flow Along a Streamline01:30

Bernoulli's Equation for Flow Along a Streamline

963
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:
963
Uniform Depth Channel Flow01:27

Uniform Depth Channel Flow

72
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...
72
Bernoulli's Equation for Flow Normal to a Streamline01:16

Bernoulli's Equation for Flow Normal to a Streamline

855
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.
855
Correlation of Experimental Data01:23

Correlation of Experimental Data

230
Dimensional analysis simplifies complex physical problems and guides experimental investigations, but it does not provide complete solutions. It identifies the dimensionless groups that influence a phenomenon, but experimental data is needed to establish the specific relationships and validate theoretical predictions.
For example, a spherical particle moving through a viscous fluid experiences drag. Dimensional analysis shows that the drag force depends on the particle's diameter, velocity,...
230

You might also read

Related Articles

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

Sort by
Same author

Perturbation theory for phase correlations of a light wave propagating in a turbulent medium.

Physical review. E·2026
Same author

[Frequency of 5q spinal muscular atrophy in adults with unspecified neuromuscular diseases].

Zhurnal nevrologii i psikhiatrii imeni S.S. Korsakova·2026
Same author

Correlations of the phase fluctuations in the presence of weak scintillations.

Journal of the Optical Society of America. A, Optics, image science, and vision·2025
Same author

Universal tail of the probability density function of the intensity of light propagating in a turbulent medium.

Physical review. E·2025
Same author

Dynamic flexoelectric instabilities in nematic liquid crystals.

Physical review. E·2024
Same author

Coherent vortex in two-dimensional turbulence: Interplay of viscosity and bottom friction.

Physical review. E·2020
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Jun 28, 2025

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

12.1K

Correlations in a weakly interacting two-dimensional random flow.

I V Kolokolov1, V V Lebedev1, V M Parfenyev1

  • 1Landau Institute for Theoretical Physics, RAS, 142432, Chernogolovka, Moscow region, Russia and National Research University Higher School of Economics, 101000, Myasnitskaya ul. 20, Moscow, Russia.

Physical Review. E
|April 18, 2024
PubMed
Summary
This summary is machine-generated.

We analytically studied vorticity fluctuations in 2D fluids, developing a perturbation theory to calculate nonlinear corrections. Anomalously weak corrections were found under specific conditions, confirmed by numerical simulations.

More Related Videos

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

8.5K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.5K

Related Experiment Videos

Last Updated: Jun 28, 2025

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

12.1K
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

8.5K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.5K

Area of Science:

  • Fluid dynamics
  • Statistical mechanics

Background:

  • Understanding fluid flow fluctuations is crucial in various scientific fields.
  • Linear approximations often fail to capture complex nonlinear behaviors in turbulent flows.

Purpose of the Study:

  • To develop a perturbation theory for calculating nonlinear corrections to vorticity fluctuations in 2D fluids.
  • To establish criteria for the validity of this theory based on viscosity and bottom friction.
  • To investigate the scaling behavior of correlation functions.

Main Methods:

  • Analytical examination of vorticity fluctuations.
  • Development of perturbation theory to compute nonlinear corrections.
  • Calculation of pair and triple correlation functions.
  • Direct numerical simulations for verification.

Main Results:

  • Nonlinear corrections to correlation functions were calculated.
  • A criterion for perturbation theory validity was established.
  • Anomalously weak corrections to the second moment were observed for small viscosity and bottom friction, linked to energy and enstrophy balances.
  • Universal scaling behavior was demonstrated for the triple correlation function at small bottom friction.

Conclusions:

  • The developed perturbation theory accurately captures nonlinear effects in 2D fluid vorticity fluctuations.
  • The theory's validity is dependent on viscosity and bottom friction ratios.
  • Anomalous weakness of corrections and universal scaling behavior provide insights into fluid dynamics under specific conditions.