Jove
Visualize
Contact Us

Related Concept Videos

Irrotational Flow01:28

Irrotational Flow

882
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:
882
Boundary Layer Characteristics01:18

Boundary Layer Characteristics

484
When a fluid encounters a solid surface, a boundary layer forms due to the interaction between the fluid's motion and the stationary surface. This phenomenon is characterized by a thin region adjacent to the surface where viscous forces dominate, influencing the fluid's velocity profile. The development of the boundary layer begins at the leading edge of the surface and evolves as the fluid moves downstream.As the fluid flows over the surface, friction between the fluid and the wall slows down...
484
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

743
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.
743
Bernoulli's Equation for Flow Along a Streamline01:30

Bernoulli's Equation for Flow Along a Streamline

1.4K
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:
1.4K
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
Couette Flow01:22

Couette Flow

853
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...
853

You might also read

Related Articles

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

Sort by
Same author

Generation of feeder-free human iPSC lines from a Major depressive disorder patient (MDD) (CHINTAi004-A) and healthy individual (CHINTAi002-A) of Eastern Indian ethnicity.

Stem cell research·2026
Same author

Inferring the Contribution of Microbial Taxa and Organic Matter Molecular Formulas to Ecological Assembly.

Frontiers in microbiology·2022
Same author

Contrasting Community Assembly Forces Drive Microbial Structural and Potential Functional Responses to Precipitation in an Incipient Soil System.

Frontiers in microbiology·2021
Same author

Representing the function and sensitivity of coastal interfaces in Earth system models.

Nature communications·2020
Same author

Grid sensitivity and role of error in computing a lid-driven cavity problem.

Physical review. E·2019
Same author

Soil exchange rates of COS and CO<sup>18</sup>O differ with the diversity of microbial communities and their carbonic anhydrase enzymes.

The ISME journal·2018
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: Jan 5, 2026

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

8.8K

Direct numerical simulation of vortex-induced instability for a zero-pressure-gradient boundary layer.

Aditi Sengupta1, V K Suman2, Tapan K Sengupta2

  • 1Department of Engineering, University of Cambridge, Cambridge, CB2 1PZ, United Kingdom.

Physical Review. E
|October 24, 2019
PubMed
Summary

This study quantifies vortex-induced instability in boundary layers using 3D Navier-Stokes simulations and a nonlinear disturbance enstrophy transport equation. It reveals how 2D excitations can lead to 3D bypass transition and small-scale vortex generation.

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

11.2K
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

9.1K

Related Experiment Videos

Last Updated: Jan 5, 2026

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

8.8K
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

11.2K
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

9.1K

Area of Science:

  • Fluid dynamics
  • Computational fluid dynamics
  • Aerodynamics

Background:

  • Vortex-induced instability is a critical phenomenon in fluid mechanics.
  • Understanding receptivity and instability in incompressible flows is essential for predicting flow behavior.
  • Previous studies have explored 2D vortex-induced instability, but 3D aspects require further investigation.

Purpose of the Study:

  • To quantitatively explore vortex-induced instability caused by free-stream vortical excitation.
  • To validate three-dimensional (3D) computational results against experimental data.
  • To analyze the nonlinear and spatiotemporal aspects of flow instability using advanced computational methods.

Main Methods:

  • Employed high-accuracy 3D Navier-Stokes equation (NSE) computations.
  • Validated computational results against experimental data from Lim et al. [Exp. Fluids 37, 47 (2004)].
  • Utilized a nonlinear disturbance enstrophy transport equation (DETE) for incompressible flows to explain instability mechanisms.

Main Results:

  • Demonstrated the evolution of disturbances from 2D to 3D stages.
  • Highlighted the impact of translating vortex speed and strength on instability.
  • Showcased 3D bypass transition and small-scale vortex creation from 2D excitations.
  • Observed cases of strong unsteady separation with 2D disturbance flow, termed bypass transition.

Conclusions:

  • The study provides quantitative insights into vortex-induced instability.
  • The DETE successfully explains instability mechanisms governed by the NSE.
  • Free-stream vortex characteristics significantly influence flow instability and transition pathways.