Abstract

A custom-made hot-wire vorticity probe was designed and developed capable of measuring the time-dependent highly fluctuating three dimensional velocity and vorticity vectors, and associated total temperature, in non-isothermal and inhomogeneous flows with reasonable spatial and temporal resolution. These measurements allowed computation of the vorticity stretching/tilting terms, vorticity generation through dilatation terms, full dissipation rate of the kinetic energy term and full rate-of-strain tensor. The probe has been validated experimentally in low-speed boundary layers and used in the CCNY Shock Tube Research Facility, where interactions of planar expansion waves or shock waves with homogeneous and isotropic turbulence have been investigated at several Reynolds numbers.

Highlights

  • Vorticity is a quantity that can describe viscous effects in a flow field much better than velocity, and it is very well suited for defining and identifying organized structures in time-dependent vortical flows because the streamlines and pathlines are completely different in two different inertial frames of reference

  • These techniques involve measurements in low-speed turbulent boundary layers of Reynolds numbers Req = 2,700, Ref [2,3,4,5], in vortices generated over delta wings [6], compressible flows with shock interactions [7,8,9] and recently compressible flows with expansion wave interactions

  • A custom-designed vorticity probe was used to measure for the first time the rate-of-strain, the rate-of-rotation and the velocity-gradient tensors in compressible turbulent flows

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Summary

Introduction

Vorticity is a quantity that can describe viscous effects in a flow field much better than velocity, and it is very well suited for defining and identifying organized structures in time-dependent vortical flows because the streamlines and pathlines are completely different in two different inertial frames of reference. In the past six years our group has made an intense effort to extend the successful techniques developed for measurements of three-dimensional vorticity and the rate-of-strain tensor These techniques involve measurements in low-speed turbulent boundary layers of Reynolds numbers Req = 2,700, Ref [2,3,4,5], in vortices generated over delta wings [6], compressible flows with shock interactions [7,8,9] and recently compressible flows with expansion wave interactions. The only existing studies are rather limited and have been confined to turbulent boundary layers, as will be discussed shortly

Experimental set-up and techniques
Vorticity measurements
Uncertainty estimates
Findings
Conclusions
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