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

526
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...
526
Viscosity of Fluid01:19

Viscosity of Fluid

822
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.
822
Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

304
In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution...
304
Shearing Strain01:20

Shearing Strain

728
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...
728
Couette Flow01:22

Couette Flow

536
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...
536
Euler's Equations of Motion01:28

Euler's Equations of Motion

618
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...
618

You might also read

Related Articles

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

Sort by
Same author

Simulating fluids, gases and everything in between.

Nature computational science·2024
Same author

Fractional Degrees of Freedom at Infinite Coupling in Large N_{f} QED in 2+1 Dimensions.

Physical review letters·2020
Same author

Erratum: Finite-Temperature Conformal Field Theory Results for All Couplings: O(N) Model in 2+1 Dimensions [Phys. Rev. Lett. 122, 231603 (2019)].

Physical review letters·2019
Same author

Finite-Temperature Conformal Field Theory Results for All Couplings: O(N) Model in 2+1 Dimensions.

Physical review letters·2019
Same author

Next-to-Next-to-Next-to-Leading Order Pressure of Cold Quark Matter: Leading Logarithm.

Physical review letters·2018
Same author

Relativistic Fluid Dynamics Far From Local Equilibrium.

Physical review letters·2018

Related Experiment Video

Updated: Oct 19, 2025

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

13.1K

Shear Viscosity at Infinite Coupling: A Field Theory Calculation.

Paul Romatschke1

  • 1Department of Physics, University of Colorado, Boulder, Colorado 80309, USA and Center for Theory of Quantum Matter, University of Colorado, Boulder, Colorado 80309, USA.

Physical Review Letters
|September 24, 2021
PubMed
Summary
This summary is machine-generated.

This study presents an exact formula for shear viscosity to entropy density ratio in the O(N) model. The findings reveal a universal strong coupling result applicable to various bosonic models.

More Related Videos

Dielectric RheoSANS — Simultaneous Interrogation of Impedance, Rheology and Small Angle Neutron Scattering of Complex Fluids
07:51

Dielectric RheoSANS — Simultaneous Interrogation of Impedance, Rheology and Small Angle Neutron Scattering of Complex Fluids

Published on: April 10, 2017

10.6K
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

14.1K

Related Experiment Videos

Last Updated: Oct 19, 2025

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

13.1K
Dielectric RheoSANS — Simultaneous Interrogation of Impedance, Rheology and Small Angle Neutron Scattering of Complex Fluids
07:51

Dielectric RheoSANS — Simultaneous Interrogation of Impedance, Rheology and Small Angle Neutron Scattering of Complex Fluids

Published on: April 10, 2017

10.6K
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

14.1K

Area of Science:

  • Theoretical Physics
  • High-Energy Physics
  • Condensed Matter Physics

Background:

  • The ratio of shear viscosity to entropy density (η/s) is a crucial observable in understanding the properties of strongly interacting matter.
  • The O(N) model provides a valuable theoretical framework for studying quantum field theories with emergent collective behavior.

Purpose of the Study:

  • To derive an exact integral expression for the shear viscosity over entropy density ratio (η/s) in the massless O(N) model at large N.
  • To investigate the behavior of η/s across all coupling values in 2+1 dimensions.
  • To determine the universal strong coupling limit of η/s for interacting bosonic O(N) models.

Main Methods:

  • Utilizing a nonperturbative resummation scheme within the field theory framework.
  • Performing calculations to leading order in the large N expansion.
  • Numerical evaluation of η/s in 2+1 dimensions for various coupling strengths.

Main Results:

  • An exact integral expression for η/s in the massless O(N) model at large N was derived.
  • Numerical evaluation in 2+1d shows η/s behavior across the coupling spectrum.
  • At infinite coupling, a universal value of (η/s)≃0.42(1)×N was found.

Conclusions:

  • The derived expression for η/s offers precise insights into the transport properties of the O(N) model.
  • The universality of the strong coupling result suggests broader applicability to related bosonic systems.
  • This work contributes to the understanding of emergent phenomena in quantum field theories.