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...

Turbulent Flow

Turbulent Flow

Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent spots,...

Navier–Stokes Equations

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...

Typical Model Studies

Typical Model Studies

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.

Thin-Walled Hollow Shafts

Thin-Walled Hollow Shafts

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 of...

Pressure Variation in a Fluid at Rest

Pressure Variation in a Fluid at Rest

In a fluid at rest, the pressure at any point beneath the fluid surface depends solely on the depth, not on the container's shape or size. This principle, known as hydrostatic pressure, arises because, in stationary fluids, there is no acceleration, meaning the forces within the fluid balance out. Only vertical forces, caused by the weight of the fluid above, contribute to pressure changes with depth.
When measuring pressure at two different levels within the fluid, the difference in pressure...

You might also read

Related Articles

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

Sort by

Same author

Nonlinear phase synchronization and the role of spacing in shell models.

Physical review. E·2026

Same author

Shell models on recurrent sequences: Fibonacci, Padovan, and other series.

Physical review. E·2025

Same author

Reversal of the Parallel Drift Frequency in Anomalous Transport of Impurity Ions.

Physical review letters·2024

Same author

Transition from linear Landau damping to nonlinear Bernstein-Greene-Kruskal modes via phase synchronization.

Physical review. E·2021

Same author

Spiral chain models of two-dimensional turbulence.

Physical review. E·2019

Same author

Variability and Interrelationship of Various Herd Milk Components <sup>1</sup>.

Journal of food protection·2019

Search research articles

Related Experiment Video

Updated: May 25, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Anisotropic shell model of turbulence.

Ö D Gürcan¹, R Grappin

¹Laboratoire de Physique des Plasmas, Ecole Polytechnique, CNRS, F-91128 Palaiseau Cedex, France. ozgur.gurcan@lpp.polytechnique.fr

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|February 7, 2012

Summary

A new anisotropic shell model for 2D turbulence reveals that anisotropy decreases with scale during energy cascade. Energy peaks shift from the most driven mode to coupled modes.

Area of Science:

Fluid dynamics
Plasma physics
Geophysics

Background:

Two-dimensional (2D) turbulence exhibits complex dynamics relevant to geophysical and plasma systems.
Existing models like the Gledzer-Ohkitani-Yamada model capture some aspects of 2D turbulence.
Anisotropy in 2D turbulence requires specialized modeling approaches.

Purpose of the Study:

To introduce and analyze a novel anisotropic shell model for 2D turbulence.
To investigate the behavior of anisotropic structures in wave-number space.
To explore the implications for systems like quasigeostrophic and plasma turbulence.

Main Methods:

Development of an anisotropic shell model by dividing wave-number space into three directional components.
Analysis of the model in the Hasegawa-Mima limit, relevant to anisotropic systems.

More Related Videos

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Related Experiment Videos

Last Updated: May 25, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Examination of the energy cascade and anisotropy evolution with scale.

Main Results:

The model recovers the isotropic solution when the driving force is isotropic.
Anisotropy diminishes progressively as the energy cascade proceeds across different scales.
The peak energy is observed not at the most driven mode, but at a directly coupled adjacent mode.

Conclusions:

The proposed anisotropic shell model provides insights into scale-dependent anisotropy in 2D turbulence.
The findings are relevant for understanding turbulence in quasigeostrophic flows and magnetized plasmas.
The model highlights the importance of inter-modal coupling in energy transfer during turbulent cascades.