Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Laminar and Turbulent Flow

Laminar and Turbulent Flow

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 streamlines...

Standard Deviation

Standard Deviation

The most commonly used measure of variation is the standard deviation. It is a numerical value measuring how far data values are from their mean. The standard deviation value is small when the data are concentrated close to the mean, exhibiting slight variation or spread. The standard deviation value is never negative, it is either positive or zero. The standard deviation is larger when the data values are more spread out from the mean, which means the data values are exhibiting more...

Steady Flow of a Fluid Stream

Steady Flow of a Fluid Stream

Consider a control volume, such as a pipe with solid boundaries, through which fluid flows and changes direction due to the impulse exerted by the resulting force from the pipe walls. In steady flow, the mass of fluid entering the control volume at a given time, t, with velocity v1, is equal to the mass leaving after infinitesimal time dt, with velocity v2.
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...

Introduction to Types of Flows

Introduction to Types of Flows

Fluid flows are categorized by dimensionality and behavior, with one-dimensional flow being the simplest form, where properties like velocity and pressure change only along a single axis. Water moving through straight pipes exemplifies this flow type, as variations in other directions are minimal. One-dimensional analysis helps simplify understanding such flows, focusing solely on changes along the pipe's length.
Two-dimensional flow involves changes in both length and height, as seen in air...

Couette Flow

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...

Pipe Flowrate Measurement

Pipe Flowrate Measurement

In pipe flow measurement, orifice, nozzle, and Venturi meters are commonly used to determine fluid flowrates by constricting the flow area, which increases fluid velocity and reduces pressure. This pressure difference, governed by Bernoulli's principle and adjusted for real-world conditions, is essential for calculating flowrate. Each meter type is suited to specific applications based on accuracy, efficiency, and compatibility with various flow conditions.
The orifice meter is a simple,...

You might also read

Related Articles

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

Sort by

Same author

Towards the clarity limit in optical fibre

Nature·2000

Same author

Symmetry and Scaling of Turbulent Mixing.

Physical review letters·1996

Same author

Fermi-liquid-to-polaron crossover. I. General results.

Physical review. B, Condensed matter·1996

Same author

Fermi-liquid-to-polaron crossover. II. Double exchange and the physics of colossal magnetoresistance.

Physical review. B, Condensed matter·1996

Same author

Dynamic Jahn-Teller Effect and Colossal Magnetoresistance in La 1-xSrxMnO3.

Physical review letters·1996

Same author

Persistent small scale anisotropy in homogeneous shear flows.

Physical review letters·1995

Same journal

Daily briefing: 'Cyborg' cockroaches breathe underwater with printed suit.

Nature·2026

Same journal

China boosts prestigious grants for young scientists - will it ease competition?

Nature·2026

Same journal

Incoming US science academy chief vows to 'double down' on research.

Nature·2026

Same journal

Author Correction: Synthesis of enantioenriched atropisomers by biocatalytic deracemization.

Nature·2026

Same journal

Electrodeposited self-assembled molecules for perovskite photovoltaics.

Nature·2026

Same journal

Neutrino's nursery found: the 'Shadow Blaster'.

Nature·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Jul 2, 2026

A Cost-effective and Reliable Method to Predict Mechanical Stress in Single-use and Standard Pumps

A Cost-effective and Reliable Method to Predict Mechanical Stress in Single-use and Standard Pumps

Published on: August 5, 2015

Scalar turbulence

Shraiman¹, Siggia

¹Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974, USA.

|June 23, 2000

Summary

This summary is machine-generated.

Turbulent flow advection of passive substances shows complex dynamics, mirroring fluid turbulence. Mathematical analysis of passive scalar turbulence offers insights into fluid dynamics, potentially solving intractable problems.

More Related Videos

The Diffusion of Passive Tracers in Laminar Shear Flow

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

High-precision Electromagnetic Flowmeter with Empty Pipe Detection via Complex Programmable Logic Device-based Waveform Recognition

High-precision Electromagnetic Flowmeter with Empty Pipe Detection via Complex Programmable Logic Device-based Waveform Recognition

Published on: June 27, 2025

Related Experiment Videos

Last Updated: Jul 2, 2026

A Cost-effective and Reliable Method to Predict Mechanical Stress in Single-use and Standard Pumps

A Cost-effective and Reliable Method to Predict Mechanical Stress in Single-use and Standard Pumps

Published on: August 5, 2015

The Diffusion of Passive Tracers in Laminar Shear Flow

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

High-precision Electromagnetic Flowmeter with Empty Pipe Detection via Complex Programmable Logic Device-based Waveform Recognition

High-precision Electromagnetic Flowmeter with Empty Pipe Detection via Complex Programmable Logic Device-based Waveform Recognition

Published on: June 27, 2025

Area of Science:

Fluid dynamics
Turbulence research
Statistical mechanics

Background:

Advection of passive substances is crucial in natural and engineering systems.
Passive scalar concentration dynamics exhibit parallels with turbulent velocity fields.
Statistical properties of passive scalar turbulence are independent of the velocity field.

Purpose of the Study:

To analyze the mathematical properties of passive scalar turbulence.
To explore the relationship between passive scalar behavior and fluid turbulence.
To advance understanding of intractable fluid turbulence problems.

Main Methods:

Mathematical analysis of passive scalar transport.
Statistical examination of concentration dynamics.
Comparison of passive scalar and velocity field statistics.

Main Results:

Passive scalar turbulence exhibits complex dynamics.
Statistical properties of passive scalars are decoupled from velocity fields.
Progress in analyzing passive scalar turbulence has been achieved.

Conclusions:

Mathematical analysis of passive scalar turbulence is yielding insights.
Understanding passive scalar turbulence may illuminate fluid turbulence.
This research contributes to solving complex fluid dynamics challenges.