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

Stokes' Law01:20

Stokes' Law

1.4K
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...
1.4K
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

264
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...
264
The Buckingham Pi Theorem01:09

The Buckingham Pi Theorem

761
The Buckingham Pi theorem provides a structured method to simplify fluid dynamics problems by reducing complex systems of variables to dimensionless terms.
761
Typical Model Studies01:30

Typical Model Studies

388
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
388
Navier–Stokes Equations01:28

Navier–Stokes Equations

608
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...
608
Euler's Equations of Motion01:28

Euler's Equations of Motion

506
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...
506

You might also read

Related Articles

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

Sort by
Same author

Threshold density for electron self-localization in gaseous H2.

The Journal of chemical physics·2026
Same author

Stokes-Einstein Relation in Different Models of Water.

Molecules (Basel, Switzerland)·2024
Same author

New analysis of the temperature-dependent threshold density for electron self-trapping in gaseous helium.

The Journal of chemical physics·2024
Same author

Shoving model and the glass transition in one-component plasma.

The Journal of chemical physics·2024
Same author

Freezing density scaling of transport coefficients in the Weeks-Chandler-Andersen fluid.

The Journal of chemical physics·2024
Same author

System Size Dependence of the Diffusion Coefficients in MD Simulations: A Simple Correction Formula for Pure Dense Fluids.

The journal of physical chemistry. B·2024
Same journal

Anharmonic phonons via quantum thermal bath simulations.

The Journal of chemical physics·2026
Same journal

Quantum simulation of alignment dependent differential cross sections in co-propagating molecular beams at cold collision energies.

The Journal of chemical physics·2026
Same journal

Non-additive ion effects on the coil-globule equilibrium of a generic polymer in aqueous salt solutions.

The Journal of chemical physics·2026
Same journal

Insights into the unexpected small reduction of the temperature of maximum density of water by lithium chloride addition.

The Journal of chemical physics·2026
Same journal

Optical frequency comb double-resonance spectroscopy of the 9030-9175 cm-1 states of ethylene.

The Journal of chemical physics·2026
Same journal

Time reversal breaking of colloidal particles in cells.

The Journal of chemical physics·2026
See all related articles

Related Experiment Video

Updated: Jul 29, 2025

Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations
06:51

Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations

Published on: August 21, 2018

7.1K

Stokes-Einstein relation without hydrodynamic diameter in the TIP4P/Ice water model.

S A Khrapak1, A G Khrapak1

  • 1Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia.

The Journal of Chemical Physics
|May 24, 2023
PubMed
Summary
This summary is machine-generated.

The TIP4P/Ice water model

More Related Videos

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.6K
Probing the Structure and Dynamics of Interfacial Water with Scanning Tunneling Microscopy and Spectroscopy
10:28

Probing the Structure and Dynamics of Interfacial Water with Scanning Tunneling Microscopy and Spectroscopy

Published on: May 27, 2018

8.8K

Related Experiment Videos

Last Updated: Jul 29, 2025

Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations
06:51

Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations

Published on: August 21, 2018

7.1K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.6K
Probing the Structure and Dynamics of Interfacial Water with Scanning Tunneling Microscopy and Spectroscopy
10:28

Probing the Structure and Dynamics of Interfacial Water with Scanning Tunneling Microscopy and Spectroscopy

Published on: May 27, 2018

8.8K

Area of Science:

  • Computational chemistry
  • Physical chemistry
  • Condensed matter physics

Background:

  • The Stokes-Einstein relation connects diffusion and viscosity.
  • Its applicability to water models requires investigation.
  • Previous studies often require a hydrodynamic diameter.

Purpose of the Study:

  • To test the microscopic Stokes-Einstein relation for the TIP4P/Ice water model.
  • To determine if the relation holds without a hydrodynamic diameter.

Main Methods:

  • Analysis of self-diffusion coefficients.
  • Analysis of shear viscosity data.
  • Comparison with the microscopic Stokes-Einstein relation.

Main Results:

  • Self-diffusion and shear viscosity data for TIP4P/Ice were analyzed.
  • The data were found to obey the microscopic Stokes-Einstein relation.
  • The relation holds without the need for a hydrodynamic diameter.

Conclusions:

  • The microscopic Stokes-Einstein relation is valid for the TIP4P/Ice water model.
  • This finding simplifies the application of the relation to water models.
  • Further validates the TIP4P/Ice model's physical realism.