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 Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

940
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.
940
Laminar and Turbulent Flow01:07

Laminar and Turbulent Flow

11.3K
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...
11.3K
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

1.3K
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,...
1.3K
Couette Flow01:22

Couette Flow

1.2K
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...
1.2K
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
Steady Flow of a Fluid Stream01:27

Steady Flow of a Fluid Stream

818
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...
818

You might also read

Related Articles

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

Sort by
Same author

Helical opto-thermoviscous flows drive out-of-plane rotation and particle spinning in a highly viscous micro-environment.

Light, science & applications·2026
Same author

Rotation reversal of chiral bacterial vortices.

Soft matter·2025
Same author

Pure Hydrodynamic Instabilities in Active Jets of Puller Microalgae.

Physical review letters·2025
Same author

Modal analysis and optimization of swimming active filaments.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2025
Same author

Load-dependent resistive-force theory for helical filaments.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2025
Same author

Optical Micromanipulations Based on Model Predictive Control of Thermoviscous Flows.

Small (Weinheim an der Bergstrasse, Germany)·2025

Related Experiment Video

Updated: Mar 10, 2026

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

18.1K

Microscale flow dynamics of ribbons and sheets.

Thomas D Montenegro-Johnson1, Lyndon Koens2, Eric Lauga2

  • 1School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK. t.d.johnson@bham.ac.uk and Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Rd, Cambridge CB3 0WA, UK.

Soft Matter
|December 13, 2016
PubMed
Summary

A new regularised stokeslet method accurately models fluid dynamics for thin sheets and ribbons. This approach bridges limitations of existing asymptotic and boundary element methods for complex shapes.

More Related Videos

Protocol for Biofilm Streamer Formation in a Microfluidic Device with Micro-pillars
07:19

Protocol for Biofilm Streamer Formation in a Microfluidic Device with Micro-pillars

Published on: August 20, 2014

12.7K
Author Spotlight: Developing a Unique Modular Microphysiological System to Mimic Human Barrier Tissue
06:20

Author Spotlight: Developing a Unique Modular Microphysiological System to Mimic Human Barrier Tissue

Published on: February 16, 2024

1.6K

Related Experiment Videos

Last Updated: Mar 10, 2026

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

18.1K
Protocol for Biofilm Streamer Formation in a Microfluidic Device with Micro-pillars
07:19

Protocol for Biofilm Streamer Formation in a Microfluidic Device with Micro-pillars

Published on: August 20, 2014

12.7K
Author Spotlight: Developing a Unique Modular Microphysiological System to Mimic Human Barrier Tissue
06:20

Author Spotlight: Developing a Unique Modular Microphysiological System to Mimic Human Barrier Tissue

Published on: February 16, 2024

1.6K

Area of Science:

  • Fluid dynamics
  • Computational science
  • Biophysics

Background:

  • Studying thin sheets and ribbons in fluid dynamics is challenging due to multiple length scales.
  • Existing asymptotic methods have shape restrictions and fail in certain regions.
  • Standard boundary element methods are impractical for some complex geometries.

Purpose of the Study:

  • To develop a novel numerical method for thin sheet and ribbon hydrodynamics.
  • To bridge the gap between asymptotic theories and boundary element methods.
  • To provide a versatile tool for analyzing complex microscale fluid dynamics.

Main Methods:

  • Development of a regularised stokeslet method tailored for ribbons and sheets.
  • Validation against analytical solutions for plate ellipsoids.
  • Comparison with experimental data for ribbon helices and microswimmers.

Main Results:

  • The regularised stokeslet method accurately reproduces known solutions.
  • The method successfully models dynamics of ribbon helices and experimental microswimmers.
  • Demonstrated versatility in calculating flow around a double helix and microscale 'magic carpet' dynamics.

Conclusions:

  • The regularised stokeslet method offers a robust and versatile approach for slender body hydrodynamics.
  • This method overcomes limitations of previous techniques, enabling analysis of complex shapes.
  • The study opens new possibilities for simulating microscale swimmers and fluid-structure interactions.