Related Experiment Video
Updated: Jul 2, 2026

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence
Published on: June 24, 2016
Technique for the measurement of spatial vorticity distributions
M S Francis1, D A Kennedy, G A Butler
1Mechanics Division, Frank J. Seiler Research Laboratory, U. S. Air Force Academy, CO 80840, USA.
This study introduces a simple hot-wire anemometry method to measure spatial vorticity in fluid flows. The technique accurately quantizes circulation, validated by trailing vortex experiments and applicable to unsteady flows.
Area of Science:
- Fluid dynamics
- Aerodynamics
- Experimental methods
Background:
- Accurate measurement of spatial vorticity is crucial for understanding complex fluid flow phenomena.
- Existing methods may have limitations in certain flow regimes or complexity.
Purpose of the Study:
- To present a straightforward and accurate method for measuring mean spatial vorticity content.
- To evaluate the circulation associated with spatial contours in fluid flows.
- To demonstrate the method's applicability and accuracy through experimental validation.
Main Methods:
- Utilized an "X"-geometry hot-wire probe and a linearized anemometer system.
- Employed a precision probe traversing mechanism for spatial contour evaluation.
- Computed measurement errors in exact and linearized forms.
Main Results:
- The described technique effectively measures mean spatial vorticity and circulation.
- Minimal measurement errors were achieved with careful selection of integration paths.
- Experimental validation using an isolated trailing vortex and wing trailing edge flows confirmed accuracy.
Conclusions:
- The presented method offers a reliable approach for spatial vorticity measurement in various flow conditions.
- The technique is validated against existing theories and experimental data.
- The method shows potential for extension to periodically driven unsteady flows.
More Related Videos
Related Concept Videos
Introduction to Vector Fields
Divergence and Curl of Magnetic Field
Vector Forms of Green’s Theorem
Irrotational Flow
Surface Integrals of Vector Fields: Flux
Curvilinear Motion: Normal and Tangential Components
The positive direction of the t-axis aligns with the increasing position of the car along the curved path, denoted by the unit vector ut. Simultaneously, the n-axis, perpendicular to the t-axis, dissects the curved path into differential arc segments, each forming the arc of a circle with a radius of...

