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Related Concept Videos

Viscosity of Fluid01:19

Viscosity of Fluid

Viscosity measures the resistance a fluid offers to flow and deformation. It results from internal friction between layers of fluid moving relative to one another. Dynamic viscosity, denoted by the Greek letter mu (μ), quantifies the force needed to move one fluid layer over another. For Newtonian fluids like water and air, the relationship between the shearing stress and the rate of shearing strain is linear, meaning their viscosity remains constant regardless of the applied stress.
Irrotational Flow01:28

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:
Plane Potential Flows01:23

Plane Potential Flows

Plane potential flows simplify fluid motion by assuming the fluid to be irrotational and incompressible. These characteristics allow these flows to be described by a velocity potential function, ϕ, representing the flow speed in a given direction, and a stream function, ψ, that visualizes the flow path, both governed by Laplace's equation. These parameters help in estimating flow patterns, velocity distributions, and pressure fields around various hydraulic structures.
Uniform Flow
Uniform flow...
Turbulent Flow01:24

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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Related Experiment Video

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Experimental Investigation of the Flow Structure over a Delta Wing Via Flow Visualization Methods
09:17

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

Published on: April 23, 2018

Visualization tools for vorticity transport analysis in incompressible flow.

Filip Sadlo1, Ronald Peikert, Mirjam Sick

  • 1Computer Graphics Laboratory, Computer Science Department, ETH Zurich, Switzerland. sadlo@inf.ethz.ch

IEEE Transactions on Visualization and Computer Graphics
|November 4, 2006
PubMed
Summary

Understanding vortex creation is key in fluid dynamics. This study analyzes vorticity transport in incompressible flow using computational fluid dynamics (CFD) simulations, offering engineering insights.

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Last Updated: Jul 19, 2026

Experimental Investigation of the Flow Structure over a Delta Wing Via Flow Visualization Methods
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Preparation of Free-Surface Hyperbolic Water Vortices
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Preparation of Free-Surface Hyperbolic Water Vortices

Published on: July 28, 2023

Area of Science:

  • Fluid dynamics
  • Computational fluid dynamics (CFD)

Background:

  • Vortices play dual roles, being both undesirable and indispensable in various applications.
  • Understanding vortex generation mechanisms is crucial for both controlling and utilizing them.

Purpose of the Study:

  • To analyze the transport of vorticity within incompressible flow.
  • To present and apply quantitative and explorative analysis methods for vorticity transport.
  • To incorporate simulation quality metrics like meshing and convergence errors into the analysis.

Main Methods:

  • Utilizing the vorticity equation for analysis.
  • Performing analysis along pathlines originating from vortex regions.
  • Applying methods to CFD simulations of water turbines.
  • Integrating meshing and convergence error analysis.

Main Results:

  • Detailed analysis of vorticity transport mechanisms in incompressible flow.
  • Application of novel analysis techniques to practical engineering problems (water turbines).
  • Quantification of simulation errors and their impact on results.

Conclusions:

  • The study provides a framework for analyzing vorticity transport, crucial for engineering applications.
  • Results offer interpretations relevant to optimizing designs involving vortices, such as in water turbines.
  • Accounting for simulation errors enhances the reliability of vorticity transport analysis.