Analysis of vortex cores in turbulent flows

Abstract

The analytical solution for vorticity, tangential velocity, circulation and pressure inside vortex cores in turbulent flows is presented in this paper. The analysis suggests a linear decrease in vorticity and polynomial variation for other quantities with distance from the vortex centre. The obtained solution is verified against experimental data in the literature.

Keywords:

• vortex core
• analytical solution
• vorticity
• circulation
• tangential velocity

Acknowledgement

I am grateful to Professor V. H. Arakeri, Indian Institute of Science, Bangalore, for helpful comments. The constructive comments of the anonymous reviewers are acknowledged.