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

Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

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...
Navier–Stokes Equations01:28

Navier–Stokes Equations

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...
Shearing Stress01:18

Shearing Stress

Shearing stress, denoted by the Greek letter tau (τ), is stress caused by forces acting transversely on an object. These forces create internal ones within the entity in the plane where the external forces are applied. The resultant of these internal forces is the shear in the section.
The average shearing stress can be calculated by dividing the shear by the area of the cross-section.
Euler's Equations of Motion01:28

Euler's Equations of Motion

In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains uniform across...
Stress: General Loading Conditions01:15

Stress: General Loading Conditions

To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes.
Shearing Strain01:20

Shearing Strain

The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...

You might also read

Related Articles

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

Sort by
Same author

Molecular dynamics simulation of high slip flow of water confined between graphene nanochannels at experimentally accessible shear rates.

The Journal of chemical physics·2026
Same author

Influence of quantum corrections on the predicted isobaric heat capacity of polarizable water models.

The Journal of chemical physics·2025
Same author

The influence of water polarization on slip friction at charged interfaces.

The Journal of chemical physics·2024
Same author

Existence of a maximum flow rate in electro-osmotic systems.

The Journal of chemical physics·2024
Same author

Modified and generalized single-element Maxwell viscoelastic model.

Physical review. E·2024
Same author

Effects of Electrostatic Interactions on Kapitza Resistance in Hexagonal Boron Nitride-Water Interfaces.

Langmuir : the ACS journal of surfaces and colloids·2022

Related Experiment Video

Updated: Jul 4, 2026

Shear Assay Protocol for the Determination of Single-Cell Material Properties
08:19

Shear Assay Protocol for the Determination of Single-Cell Material Properties

Published on: May 19, 2023

Nonlocal shear stress for homogeneous fluids.

B D Todd1, J S Hansen, Peter J Daivis

  • 1Centre for Molecular Simulation, Swinburne University of Technology, Hawthorn, VIC, Australia. btodd@swin.edu.au

Physical Review Letters
|June 4, 2008
PubMed
Summary

Nonlocal viscosity is confirmed for fluids with rapidly varying strain rates. This nonlocal property, the viscosity kernel, accurately predicts shear stress using analytical and numerical methods for atomic fluids.

Area of Science:

  • Fluid dynamics
  • Statistical mechanics
  • Non-equilibrium physics

Background:

  • Viscosity is typically a local property in fluid dynamics.
  • In fluids with significant strain rate variations at molecular scales, viscosity may exhibit nonlocal behavior.
  • Nonlocal viscosity implies that the fluid's response depends on strain rates over a wider spatial region.

Purpose of the Study:

  • To confirm the postulate that viscosity is a nonlocal property for fluids with significant strain rate variations.
  • To investigate the relationship between shear stress and a nonlocal viscosity kernel.
  • To explore approximations for nonlocal constitutive equations.

Main Methods:

  • Analytical methods were employed to derive theoretical relationships.

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

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

Related Experiment Videos

Last Updated: Jul 4, 2026

Shear Assay Protocol for the Determination of Single-Cell Material Properties
08:19

Shear Assay Protocol for the Determination of Single-Cell Material Properties

Published on: May 19, 2023

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

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

  • Numerical simulations were used to model fluid behavior.
  • The study focused on an atomic fluid system under non-equilibrium conditions.

    • Main Results:

    • The postulate of nonlocal viscosity was confirmed for the studied atomic fluid.
    • Shear stress was shown to be a convolution of the nonlocal viscosity kernel and the strain rate.
    • A gradient expansion of the nonlocal constitutive equation provided a good approximation for shear stress in the small wave vector limit.

    Conclusions:

    • Viscosity must be treated as a nonlocal property for fluids experiencing significant strain rate variations at molecular scales.
    • The proposed convolution model for shear stress is validated.
    • Gradient expansion offers a practical approximation for nonlocal fluid behavior in specific regimes.