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

Eulerian and Lagrangian Flow Descriptions01:22

Eulerian and Lagrangian Flow Descriptions

1.4K
Fluid flow analysis is critical in many scientific and engineering disciplines, and two principal approaches are used to describe this flow: the Eulerian and Lagrangian methods. These methods offer different perspectives on monitoring and analyzing the motion of fluids, each with distinct advantages depending on the scenario.
The Eulerian method focuses on fixed points in space where fluid properties, such as velocity, pressure, and temperature, are observed as the fluid moves between these...
1.4K
Bernoulli's Equation for Flow Along a Streamline01:30

Bernoulli's Equation for Flow Along a Streamline

943
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:
943
Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

210
Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
210
Viscosity of Fluid01:19

Viscosity of Fluid

376
Viscosity measures the resistance a fluid offers to flow and deformation. It results from internal friction between layers of fluid moving relative to one another. Dynamic viscosity, denoted by the Greek letter mu (μ), quantifies the force needed to move one fluid layer over another. For Newtonian fluids like water and air, the relationship between the shearing stress and the rate of shearing strain is linear, meaning their viscosity remains constant regardless of the applied stress.
376
Navier–Stokes Equations01:28

Navier–Stokes Equations

462
For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
462
Laminar and Turbulent Flow01:07

Laminar and Turbulent Flow

8.5K
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...
8.5K

You might also read

Related Articles

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

Sort by
Same author

Lagrangian Differencing Dynamics for Time-Independent Non-Newtonian Materials.

Materials (Basel, Switzerland)·2021
Same journal

Correction: Kang et al. Energy-Saving Electrospinning with a Concentric Teflon-Core Rod Spinneret to Create Medicated Nanofibers. <i>Polymers</i> 2020, <i>12</i>, 2421.

Polymers·2026
Same journal

Influence of Self-Adhesive Resin Composite Deep Marginal Elevation on the Sealing Ability of CAD/CAM Lithium Disilicate Glass-Ceramic Inlays: An In Vitro Study.

Polymers·2026
Same journal

Modulating Exciton Dynamics Through Fluorescent Side Group Incorporation in Benzodithiophene-Benzotriazole-Isoindigo Terpolymers.

Polymers·2026
Same journal

PLA/PBSA Biocomposites Reinforced with Tangerine Tree-Derived Agro-Industrial Waste for Rigid Packaging: Effect of Extraction Treatment on Morphology and Thermo-Mechanical Performance.

Polymers·2026
Same journal

Synergistic Coatings Based on Chitosan and <i>Eugenia caryophyllata</i> Essential Oil to Improve Postharvest Quality of <i>Capsicum chinense</i>.

Polymers·2026
Same journal

Bioethanol from <i>Miscanthus</i> × <i>giganteus</i>: A Comparative Study of Different Pretreatment Technologies.

Polymers·2026
See all related articles

Related Experiment Video

Updated: Jun 18, 2025

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

8.7K

Lagrangian Split-Step Method for Viscoelastic Flows.

Martina Bašić1, Branko Blagojević1, Branko Klarin1

  • 1Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, R. Boškovića 32, 21000 Split, Croatia.

Polymers
|July 27, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces a new Lagrangian method for simulating viscoelastic materials, accurately capturing complex flow behaviors and large deformations. The method demonstrates stability for high Weissenberg numbers, offering a robust tool for polymer industry simulations.

Keywords:
LDDOldroyd-Bdie swellmeshlesspolymerssudden contractionviscoelasticity

More Related Videos

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

12.6K
Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids
10:28

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids

Published on: January 3, 2014

13.6K

Related Experiment Videos

Last Updated: Jun 18, 2025

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

8.7K
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

12.6K
Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids
10:28

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids

Published on: January 3, 2014

13.6K

Area of Science:

  • Computational Fluid Dynamics
  • Rheology
  • Polymer Physics

Background:

  • Meshless Lagrangian methods face challenges simulating viscoelastic materials.
  • Existing methods struggle with accuracy and stability for complex flows.

Purpose of the Study:

  • To develop and validate a novel meshless Lagrangian approach for incompressible viscoelastic flows.
  • To extend the Lagrangian Differencing Dynamics (LDD) method for viscoelastic simulations.

Main Methods:

  • Introduced a split-step scheme (pressure Poisson reformulation) for Navier-Stokes equations in a Lagrangian context.
  • Extended the validated LDD method to solve the split-step scheme for Oldroyd-B viscoelastic flows.
  • Validated the method using benchmarks: lid-driven cavity, droplet impact, planar contraction, and die swelling.

Main Results:

  • The extended LDD method accurately simulates viscoelastic flows, capturing large deformations and memory effects.
  • Achieved stable simulations for high Weissenberg numbers without regularization.
  • Demonstrated effectiveness in benchmark tests for viscoelastic fluid dynamics.

Conclusions:

  • The LDD method is effective for simulating viscoelastic flows with complex material properties and stress responses.
  • The stability and performance encourage its application in industrial polymer processing.
  • Provides a robust numerical tool for challenging viscoelastic fluid dynamics problems.