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

Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
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...
Equation of Continuity01:12

Equation of Continuity

Fluid motion is represented by either velocity vectors or streamlines. The volume of a fluid flowing past a given location through an area during a period of time is called the flow rate Q, or more precisely, the volume flow rate. Flow rate and velocity are related—for instance, a river has a greater flow rate if the velocity of the water in it is greater. However, the flow rate also depends on the size and shape of the river. The relationship between flow rate (Q) and average speed (v)...
Couette Flow01:22

Couette Flow

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...
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...
Reynolds Transport Theorem01:24

Reynolds Transport Theorem

The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit mass.

You might also read

Related Articles

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

Sort by
Same author

The Voronoi volume and molecular representation of molar volume: equilibrium simple fluids.

The Journal of chemical physics·2010
Same author

Improved method for the self-diffusion coefficient in the modified free volume theory: simple fluids.

The journal of physical chemistry. B·2009
Same author

Molecular representation of molar domain (volume), evolution equations, and linear constitutive relations for volume transport.

The Journal of chemical physics·2008
Same author

Molecular theory of barycentric velocity: monatomic fluids.

The Journal of chemical physics·2008
Same author

Voids, generic van der Waals equation of state, and transport coefficients of liquids.

Physical chemistry chemical physics : PCCP·2007
Same author

A perturbation method for the Ornstein-Zernike equation and the generic van der Waals equation of state for a square well potential model.

The journal of physical chemistry. B·2007

Related Experiment Video

Updated: Jun 27, 2026

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

Volume transport and generalized hydrodynamic equations for monatomic fluids.

Byung Chan Eu1

  • 1Department of Chemistry, McGill University, 801 Sherbrooke St., West Montreal, Quebec H3A 2K6, Canada. byung.eu@mcgill.ca

The Journal of Chemical Physics
|December 3, 2008
PubMed
Summary

Volume transport significantly impacts fluid dynamics. This study derives generalized hydrodynamic equations, revealing its effects on viscosity and heat conduction, crucial for fluid mechanics and thermodynamics.

More Related Videos

The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
10:03

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

Published on: October 5, 2018

Related Experiment Videos

Last Updated: Jun 27, 2026

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

The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
10:03

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

Published on: October 5, 2018

Area of Science:

  • Statistical Mechanics
  • Fluid Dynamics
  • Kinetic Theory

Background:

  • Generalized hydrodynamic equations describe fluid behavior.
  • Volume transport is a factor influencing these equations.
  • Kinetic theory provides a microscopic basis for macroscopic fluid properties.

Purpose of the Study:

  • To examine the effects of volume transport on generalized hydrodynamic equations for a pure simple fluid.
  • To derive constitutive equations for stress tensor and heat flux using the generalized Boltzmann equation.
  • To analyze the impact of volume transport on fluid properties like viscosity and heat conduction.

Main Methods:

  • Derivation of generalized hydrodynamic equations from the generalized Boltzmann equation.
  • Analysis of linear steady-state solutions under volume transport conditions.
  • Assessment of Brenner's proposition regarding volume transport and velocities.

Main Results:

  • Established generalized hydrodynamic equations and constitutive relations for nonconserved variables.
  • Quantified the influence of volume transport on viscosity, bulk viscosity, and Fourier's law.
  • Demonstrated the significance of volume transport in fluid behavior.

Conclusions:

  • Volume transport is a critical factor in irreversible thermodynamics and fluid mechanics.
  • The derived equations provide a framework for understanding volume transport effects.
  • The study validates the importance of incorporating volume transport in fluid models.