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Lagrangian and Eulerian measurements in high-speed jets using Multi-Pulse Shake-The-Box and fine scale reconstruction (VIC#)

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Abstract

Accurate measurement of high-speed flows in the presence of elevated levels of shear and turbulence is a challenging yet necessary endeavor to understand ubiquitous flows that are of great engineering importance. While Eulerian methods, such as Particle Image Velocimetry, represent the traditional approach, Lagrangian alternatives, such as Particle Tracking Velocimetry, have witnessed a resurgence recently due to improved technology and interest in Lagrangian analysis methods. In this research, a recently developed implementation of a volumetric Lagrangian technique for tracking particles in densely seeded flows, namely, Multi-Pulse Shake-The-Box (MP-STB) with the specific implementation referred to as Four-Pulse Shake-The-Box is described and its performance in high-speed jet flows is evaluated. The MP-STB technique is based on recent developments in the Shake-The-Box method by Novara et al. (Experiment in Fluids 60(3):44, 2019) and uses low-speed cameras combined with a double-exposed image acquisition strategy and multi-pulse tracking. Its use of four laser pulses in quick succession with an uneven pulse timing scheme allows for high-accuracy estimates of velocity and acceleration, and repeated ensembles of short-duration, time-resolved measurements in realistic high-speed flows. Experiments with circular jets operating at exit Mach numbers of 0.31 and 0.59 in two different configurations, namely, free jets and jets impinging on a ground plate located 4.75 jet diameters away from the nozzle, were performed to evaluate MP-STB. Scattered four-particle tracks from MP-STB were mapped onto a regular Eulerian grid through the Fine Scale Reconstruction implementation of the VIC# data assimilation method by Jeon et al. (2018). Unique information, including acceleration fields, is presented for these well-known canonical flows. Comparisons with traditional Eulerian measurements from Tomographic PIV, Stereoscopic PIV, and planar PIV are provided to validate the accuracy and comparative cost of volumetric MP-STB measurements combined with the VIC# data assimilation technique.

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Acknowledgements

This research was supported by an equipment grant (Grant Number: FA9550-17-1-0404) under the Defense University Research Instrumentation Program (DURIP) administered through the Air Force Office of Scientific Research (AFOSR) with Dr. Greg Abate as Program Manager. Partial support for these experiments was provided by the National Science Foundation (NSF), Office of Naval Research (ONR), and the Florida Center for Advanced Aero-Propulsion. Dr. Bernhard Wieneke from LaVision GmbH provided extensive support in designing and implementing the Four-Pulse Shake-The-Box technique, and also developed the specific particle tracking scheme described herein.

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Correspondence to Prabu Sellappan.

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Sellappan, P., Alvi, F.S. & Cattafesta, L.N. Lagrangian and Eulerian measurements in high-speed jets using Multi-Pulse Shake-The-Box and fine scale reconstruction (VIC#). Exp Fluids 61, 157 (2020). https://doi.org/10.1007/s00348-020-02993-9

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  • DOI: https://doi.org/10.1007/s00348-020-02993-9

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