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

Streamlines, Streaklines, and Pathlines01:18

Streamlines, Streaklines, and Pathlines

1000
A streamline represents the trajectory that is always tangent to the fluid's velocity vector at any given point. The velocity of a fluid particle is always directed along the streamline, ensuring the particle continuously follows the streamline's path. Streamlines are particularly useful for visualizing the overall direction of flow in a fluid system, and they provide an instantaneous representation of the flow's velocity field. In steady flow, where conditions do not change over...
1000
Divergence and Stokes' Theorems01:06

Divergence and Stokes' Theorems

1.5K
The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...
1.5K
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

165
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...
165
Steady Flow of a Fluid Stream01:27

Steady Flow of a Fluid Stream

272
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...
272
Stokes' Law01:20

Stokes' Law

1.2K
Viscous forces, like friction, are intermolecular forces that resist the relative motion of molecules over each other. When a solid body moves through a liquid, viscous forces drag it in the opposite direction. The force's magnitude depends on the solid's shape and size, as well as its speed and the liquid's coefficient of viscosity, density and temperature.
The expression for the force on a solid spherical object in a fluid is called Stokes' law. Stokes' law is valid only...
1.2K
Surface Tension of Fluid01:22

Surface Tension of Fluid

246
Surface tension is a fundamental property of fluids, occurring at the boundary between a liquid and a gas or between two immiscible liquids. This phenomenon arises from the cohesive forces between molecules at the fluid's surface, creating an effect similar to a stretched elastic membrane. Inside each fluid, molecules are equally attracted in all directions by neighboring molecules, but surface molecules experience a net inward force, resulting in surface tension.
Surface tension varies...
246

You might also read

Related Articles

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

Sort by
Same author

Swimmers at interfaces enhance interfacial transport.

Soft matter·2024
Same author

Cortical dynein drives centrosome clustering in cells with centrosome amplification.

Molecular biology of the cell·2023
Same author

A Bayesian Framework to Estimate Fluid and Material Parameters in Micro-swimmer Models.

Bulletin of mathematical biology·2021
Same author

A Hybrid Model of Cartilage Regeneration Capturing the Interactions Between Cellular Dynamics and Porosity.

Bulletin of mathematical biology·2020
Same journal

Evaluation of Flow-Induced Shear in a Porous Microfluidic Slide: CFD Analysis and Experimental Investigation.

Fluids (Basel, Switzerland)·2026
Same journal

Geometric Analyses of the Expiratory Flow-Volume Curve to Identify Expiratory Flow Limitation During Exercise.

Fluids (Basel, Switzerland)·2026
Same journal

Subject-Specific Computational Fluid-Structure Interaction Modeling of Rabbit Vocal Fold Vibration.

Fluids (Basel, Switzerland)·2022
Same journal

Vortex Formation Times in the Glottal Jet, Measured in a Scaled-Up Model.

Fluids (Basel, Switzerland)·2021
Same journal

Nanoparticle Delivery in Prostate Tumors Implanted in Mice Facilitated by Either Local or Whole-Body Heating.

Fluids (Basel, Switzerland)·2021
See all related articles

Related Experiment Video

Updated: Jun 10, 2025

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

11.6K

A Framework for Generating Radial and Surface-Oriented Regularized Stokeslets.

Nicholas G Chisholm1, Sarah D Olson1

  • 1Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609, USA.

Fluids (Basel, Switzerland)
|October 18, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces a new framework for regularized Stokeslets, improving flow simulations by developing general smoothing factors. This method enhances accuracy in fluid dynamics calculations, particularly for surface-bound forces.

Keywords:
boundary integral methodsregularization errorregularized stokesletssmoothing factor

More Related Videos

Author Spotlight: Development of a Scaffold-Free Acoustic Assembly Method for High-Quality 3D Cell Spheroid Culture
05:17

Author Spotlight: Development of a Scaffold-Free Acoustic Assembly Method for High-Quality 3D Cell Spheroid Culture

Published on: October 13, 2023

1.1K
Preparation of Free-Surface Hyperbolic Water Vortices
04:35

Preparation of Free-Surface Hyperbolic Water Vortices

Published on: July 28, 2023

2.5K

Related Experiment Videos

Last Updated: Jun 10, 2025

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

11.6K
Author Spotlight: Development of a Scaffold-Free Acoustic Assembly Method for High-Quality 3D Cell Spheroid Culture
05:17

Author Spotlight: Development of a Scaffold-Free Acoustic Assembly Method for High-Quality 3D Cell Spheroid Culture

Published on: October 13, 2023

1.1K
Preparation of Free-Surface Hyperbolic Water Vortices
04:35

Preparation of Free-Surface Hyperbolic Water Vortices

Published on: July 28, 2023

2.5K

Area of Science:

  • Fluid Dynamics
  • Computational Mechanics
  • Applied Mathematics

Background:

  • The accuracy of regularized Stokeslet methods is sensitive to the choice of regularization functions for handling flow singularities.
  • Existing methods often rely on specific blob functions or moment conditions, limiting generalizability.

Purpose of the Study:

  • To develop a general framework for selecting regularizations in Stokeslet methods using smoothing factors.
  • To analyze the error associated with these new regularization techniques.
  • To extend the framework for surface-bound forces using non-radial regularizations.

Main Methods:

  • Derivation of radial smoothing factors for vector potentials.
  • Specification of properties ensuring incompressible Stokes equations are satisfied.
  • Error analysis for both far-field and near-force regions.
  • Extension to surface-oriented, non-radial regularizations.

Main Results:

  • A general framework for choosing regularizations via smoothing factors is established.
  • The derived smoothing factors are related to traditional blob functions and moment conditions.
  • The method is validated by solving forward and inverse problems for a translating sphere.

Conclusions:

  • The proposed framework offers a systematic approach to regularization in Stokeslet methods.
  • The developed smoothing factors provide accurate solutions for fluid flow problems, including those with surface forces.
  • This work advances the computational treatment of singularities in fluid dynamics.