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Irrotational Flow

Irrotational Flow

Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:

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,...

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Laminar and Turbulent Flow

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Bernoulli's Equation for Flow Normal to a Streamline

Bernoulli's Equation for Flow Normal to a Streamline

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Bernoulli's equation relates the energy conservation in a fluid moving along a streamline. The equation applies to incompressible and inviscid fluids under steady flow. For such a flow, Newton's second law is applied to a small fluid element, which experiences forces due to pressure differences, gravity, and velocity variations. The force balance leads to the following form of Bernoulli's equation:

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Related Experiment Video

Updated: Jun 5, 2026

Experimental Investigation of the Flow Structure over a Delta Wing Via Flow Visualization Methods

Experimental Investigation of the Flow Structure over a Delta Wing Via Flow Visualization Methods

Published on: April 23, 2018

Vortex statistics in turbulent rotating convection.

R P J Kunnen¹, H J H Clercx, B J Geurts

¹Fluid Dynamics Laboratory, Department of Physics, International Collaboration for Turbulence Research (ICTR) and J. M. Burgers Center for Fluid Dynamics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands. r.kunnen@aia.rwth-aachen.de

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

|January 15, 2011

Summary

This summary is machine-generated.

Rotating turbulent convection generates vortices in water. Vortex properties like density and radius are mostly unaffected by rotation, except near boundaries where cyclones dominate and possess greater circulation.

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Area of Science:

Fluid Dynamics
Turbulence Studies
Convection Phenomena

Background:

Turbulent Rayleigh-Bénard convection is a fundamental system for studying heat and momentum transfer.
Rotation significantly influences fluid dynamics, affecting vortex formation and behavior.

Purpose of the Study:

To investigate the characteristics of vortices in rotating turbulent Rayleigh-Bénard convection.
To analyze the impact of rotation rate (Taylor number) on vortex statistics.

Main Methods:

Utilized stereoscopic particle image velocimetry (PIV) for experimental data.
Employed direct numerical simulation (DNS) for detailed flow analysis.
Applied the Q criterion to identify and classify vortices based on flow topology.

Main Results:

Vortex density and mean radius were largely independent of the Taylor number, except near boundaries.
Increased rotation (Taylor number) led to higher vortex detection near the top and bottom plates.
Cyclonic vortices were more prevalent near boundaries and exhibited stronger circulation than anticyclonic vortices.

Conclusions:

Vortices in rotating turbulent convection are primarily formed within a boundary layer approximately two Ekman lengths thick.
The distribution and characteristics of cyclonic and anticyclonic vortices vary between the boundary layers and the bulk flow.