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Experimental study of stratified jet by simultaneous measurements of velocity and density fields

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Abstract

Stratified flows with small density difference commonly exist in geophysical and engineering applications, which often involve interaction of turbulence and buoyancy effect. A combined particle image velocimetry (PIV) and planar laser-induced fluorescence (PLIF) system is developed to measure the velocity and density fields in a dense jet discharged horizontally into a tank filled with light fluid. The illumination of PIV particles and excitation of PLIF dye are achieved by a dual-head pulsed Nd:YAG laser and two CCD cameras with a set of optical filters. The procedure for matching refractive indexes of two fluids and calibration of the combined system are presented, as well as a quantitative analysis of the measurement uncertainties. The flow structures and mixing dynamics within the central vertical plane are studied by examining the averaged parameters, turbulent kinetic energy budget, and modeling of momentum flux and buoyancy flux. At downstream, profiles of velocity and density display strong asymmetry with respect to its center. This is attributed to the fact that stable stratification reduces mixing and unstable stratification enhances mixing. In stable stratification region, most of turbulence production is consumed by mean-flow convection, whereas in unstable stratification region, turbulence production is nearly balanced by viscous dissipation. Experimental data also indicate that at downstream locations, mixing length model performs better in mixing zone of stable stratification regions, whereas in other regions, eddy viscosity/diffusivity models with static model coefficients represent effectively momentum and buoyancy flux terms. The measured turbulent Prandtl number displays strong spatial variation in the stratified jet.

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Notes

  1. The eddy diffusivity of heat, κ T , and eddy diffusivity of density, κρ, are equal when density variations are dominated by those of temperatures, as in many applications. Details can be found in Thorpe (2007, e.g., p. 42). Thus here we do not differentiate κ T and κρ, as well as turbulent Prandtl nubmer and turbulent Schimidt number.

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Authors and Affiliations

  1. School of Mechanical Engineering, Purdue University, West Lafayette, IN, 47907, USA

    Duo Xu & Jun Chen

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  1. Duo Xu
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  2. Jun Chen
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Correspondence to Jun Chen.

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Xu, D., Chen, J. Experimental study of stratified jet by simultaneous measurements of velocity and density fields. Exp Fluids 53, 145–162 (2012). https://doi.org/10.1007/s00348-012-1275-7

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