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

Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

264
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...
264
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

248
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.
248
Steady Flow of a Fluid Stream01:27

Steady Flow of a Fluid Stream

318
Consider a control volume, such as a pipe with solid boundaries, through which fluid flows and changes direction due to the impulse exerted by the resulting force from the pipe walls. In steady flow, the mass of fluid entering the control volume at a given time, t, with velocity v1, is equal to the mass leaving after infinitesimal time dt, with velocity v2.
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...
318
Couette Flow01:22

Couette Flow

342
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...
342
Bernoulli's Equation for Flow Along a Streamline01:30

Bernoulli's Equation for Flow Along a Streamline

1.1K
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:
1.1K
Irrotational Flow01:28

Irrotational Flow

502
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:
502

You might also read

Related Articles

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

Sort by
Same author

Steady streaming in channels with a porous interior.

Physical review fluids·2026
Same author

<i>In vitro</i> characterization of solute transport in the spinal canal.

Physics of fluids (Woodbury, N.Y. : 1994)·2025
Same author

Effects of buoyancy on the dispersion of drugs released intrathecally in the spinal canal.

Journal of fluid mechanics·2024
Same author

The directional flow generated by peristalsis in perivascular networks-Theoretical and numerical reduced-order descriptions.

Journal of applied physics·2023
Same author

Buoyancy-modulated Lagrangian drift in wavy-walled vertical channels as a model problem to understand drug dispersion in the spinal canal.

Journal of fluid mechanics·2023
Same author

A one-dimensional model for the pulsating flow of cerebrospinal fluid in the spinal canal.

Journal of fluid mechanics·2022

Related Experiment Video

Updated: Jul 29, 2025

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole
09:37

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

Published on: August 26, 2019

5.6K

Oscillating viscous flow past a streamwise linear array of circular cylinders.

J Alaminos-Quesada1, J J Lawrence1, W Coenen2

  • 1Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA 92093, USA.

Journal of Fluid Mechanics
|May 19, 2023
PubMed
Summary

This study analyzes viscous flow around cylinders in oscillating fluids. It quantifies recirculating vortices and flow rates, finding small-stroke length approximations remain accurate for larger strokes.

Keywords:
general fluid mechanics

More Related Videos

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

17.2K
Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels
08:32

Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels

Published on: January 28, 2022

2.4K

Related Experiment Videos

Last Updated: Jul 29, 2025

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole
09:37

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

Published on: August 26, 2019

5.6K
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

17.2K
Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels
08:32

Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels

Published on: January 28, 2022

2.4K

Area of Science:

  • Fluid dynamics
  • Computational physics

Background:

  • Understanding fluid flow around arrays of cylinders is crucial in various engineering applications.
  • Periodic oscillations in fluid streams present unique challenges for flow analysis.

Purpose of the Study:

  • To investigate the viscous flow developing around an array of identical circular cylinders in a periodically oscillating incompressible fluid stream.
  • To analyze harmonically oscillating flows with stroke lengths comparable to or smaller than the cylinder radius.
  • To quantify steady-streaming and Stokes drift components and their effect on the time-averaged Lagrangian velocity field.

Main Methods:

  • Mathematical analysis focusing on the limit of asymptotically small stroke lengths.
  • Computation of steady-streaming and Stokes drift components.
  • Comparison with results from direct numerical simulations.
  • Numerical integrations to quantify streamwise flow rate.

Main Results:

  • The time-averaged Lagrangian velocity field displays recirculating vortices, quantified for varying Womersley numbers and inter-cylinder distances.
  • The description of Lagrangian mean flow for infinitesimally small stroke lengths remains accurate even for stroke lengths comparable to the cylinder radius.
  • Streamwise flow rate was quantified for anharmonic pressure gradients, relevant to cerebrospinal fluid dynamics.

Conclusions:

  • The study provides accurate quantification of vortex dynamics and flow rates in oscillating flows around cylinder arrays.
  • The findings have implications for understanding fluid-structure interactions in biological systems, such as cerebrospinal fluid flow around spinal nerves.