Jove
Visualize
Contact Us

Related Concept Videos

Couette Flow01:22

Couette Flow

1.4K
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...
1.4K
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

1.1K
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.
1.1K
Bernoulli's Equation for Flow Along a Streamline01:30

Bernoulli's Equation for Flow Along a Streamline

1.6K
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:
1.6K
Irrotational Flow01:28

Irrotational Flow

1.3K
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:
1.3K
Energy Considerations in Open Channel Flow01:27

Energy Considerations in Open Channel Flow

990
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...
990
Bernoulli's Equation for Flow Normal to a Streamline01:16

Bernoulli's Equation for Flow Normal to a Streamline

1.2K
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...
1.2K

You might also read

Related Articles

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

Sort by
Same author

Characterization of N-malonylurea hydrolase in the pyrimidine oxidative degradation pathway of Rhodococcus erythropolis JCM 3132.

Bioscience, biotechnology, and biochemistry·2025
Same author

Gene identification and enzymatic characterization of the initial enzyme in pyrimidine oxidative metabolism, uracil-thymine dehydrogenase.

Journal of bioscience and bioengineering·2024
Same author

Characterisation of an <i>Escherichia coli</i> line that completely lacks ribonucleotide reduction yields insights into the evolution of parasitism and endosymbiosis.

eLife·2023
Same author

Fluidic Oscillators, Feedback Channel Effect under Compressible Flow Conditions.

Sensors (Basel, Switzerland)·2021
Same author

Extensional channel flow revisited: a dynamical systems perspective.

Proceedings. Mathematical, physical, and engineering sciences·2017
Same author

Linear instability in Rayleigh-stable Taylor-Couette flow.

Physical review. E·2017
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 Experiment Video

Updated: Apr 29, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

9.2K

Subcritical equilibria in Taylor-Couette flow.

Kengo Deguchi1, Alvaro Meseguer2, Fernando Mellibovsky3

  • 1Department of Mathematics, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom and Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto 606-8501, Japan.

Physical Review Letters
|May 27, 2014
PubMed
Summary

Localized vortex pairs in counterrotating Taylor-Couette flow form stable, rotating wave states. These findings align with experimental relaminarization thresholds and challenge classical stability limits.

More Related Videos

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow
08:25

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow

Published on: April 30, 2018

6.6K
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

8.2K

Related Experiment Videos

Last Updated: Apr 29, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

9.2K
Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow
08:25

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow

Published on: April 30, 2018

6.6K
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

8.2K

Area of Science:

  • Fluid Dynamics
  • Nonlinear Dynamics
  • Hydrodynamic Stability

Background:

  • The Taylor-Couette flow, involving fluid between two rotating cylinders, exhibits complex dynamics.
  • Understanding nonlinear equilibrium states is crucial for predicting fluid behavior under various conditions.

Purpose of the Study:

  • To calculate nonlinear equilibrium states in the stable parameter region of counterrotating Taylor-Couette flow.
  • To investigate the characteristics of localized vortex pairs as subcritical states.
  • To compare the region of existence of these states with experimental observations of relaminarization.

Main Methods:

  • Numerical calculation of nonlinear equilibrium states.
  • Analysis of rotating wave solutions.
  • Exploration of parameter space including corotation and counterrotation.

Main Results:

  • Identified strongly localized vortex pairs as nonlinear equilibrium states.
  • These states exist in the linearly stable parameter region.
  • The region of existence matches experimental critical thresholds for relaminarization.
  • Solutions extend to corotation, surpassing the inviscid Rayleigh stability criterion.

Conclusions:

  • Nonlinear vortex pair states represent a significant finding in Taylor-Couette flow dynamics.
  • These states provide a theoretical basis for experimentally observed relaminarization.
  • The study extends the understanding of stability limits beyond classical criteria.