Analytic Solutions for Three-Dimensional Swirling Strength in Compressible and Incompressible Flows
Description
Eigenvalues of the 3D critical point equation (∇u)ν = λν are normally computed numerically. In the letter, we present analytic solutions for 3D swirling strength in both compressible and incompressible flows. The solutions expose functional dependencies that cannot be seen in numerical solutions. To illustrate, we study the difference between using fluctuating and total velocity gradient tensors for vortex identification. Results show that mean shear influences vortex detection and that distortion can occur, depending on the strength of mean shear relative to the vorticity at the vortex center.
Date Created
The date the item was original created (prior to any relationship with the ASU Digital Repositories.)
2014-08-01
Agent
- Author (aut): Chen, Huai
- Author (aut): Adrian, Ronald
- Author (aut): Zhong, Qiang
- Author (aut): Wang, Xingkui
- Contributor (ctb): Ira A. Fulton Schools of Engineering
- Contributor (ctb): School for the Engineering of Matter, Transport and Energy