A new method to calculate unsteady particle kinematics and drag coefficient in a subsonic post-shock flow

Bordoloi, Ankur D.; Ding, Liuyang; Martinez, Adam A.; Prestridge, Katherine; Adrian, Ronald J.

doi:10.1088/1361-6501/aac076

Title: A new method to calculate unsteady particle kinematics and drag coefficient in a subsonic post-shock flow

Journal Article · Thu Apr 26 00:00:00 EDT 2018 · Measurement Science and Technology

DOI:https://doi.org/10.1088/1361-6501/aac076· OSTI ID:1440444

^[1];

^[2]; Martinez, Adam A. ^[1]; Prestridge, Katherine ^[1]; Adrian, Ronald J. ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Arizona State Univ., Tempe, AZ (United States). School for Engineering of Matter, Transport and Energy

In this paper, we introduce a new method (piecewise integrated dynamics equation fit, PIDEF) that uses the particle dynamics equation to determine unsteady kinematics and drag coefficient (C _D) for a particle in subsonic post-shock flow. The uncertainty of this method is assessed based on simulated trajectories for both quasi-steady and unsteady flow conditions. Traditional piecewise polynomial fitting (PPF) shows high sensitivity to measurement error and the function used to describe C _D, creating high levels of relative error (>>1) when applied to unsteady shock-accelerated flows. The PIDEF method provides reduced uncertainty in calculations of unsteady acceleration and drag coefficient for both quasi-steady and unsteady flows. This makes PIDEF a preferable method over PPF for complex flows where the temporal response of C _D is unknown. Finally, we apply PIDEF to experimental measurements of particle trajectories from 8-pulse particle tracking and determine the effect of incident Mach number on relaxation kinematics and drag coefficient of micron-sized particles.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1440444

Report Number(s):: LA-UR-17-31279

Journal Information:: Measurement Science and Technology, Vol. 29, Issue 7; ISSN 0957-0233

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 1 work

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References (30)

Experiments and Analyses on Shock Waves Propagating through a Gas-Particle Mixture Outa, Eisuke; Tajima, Kiyohiro; Morii, Hiroomi Bulletin of JSME, Vol. 19, Issue 130 https://doi.org/10.1299/jsme1958.19.384	journal	January 1976
Application of PIV in a Mach 7 double-ramp flow Schrijer, F. F. J.; Scarano, F.; van Oudheusden, B. W. Experiments in Fluids, Vol. 41, Issue 2 https://doi.org/10.1007/s00348-006-0140-y	journal	April 2006
Particle tracer response across shocks measured by PIV Ragni, D.; Schrijer, F.; van Oudheusden, B. W. Experiments in Fluids, Vol. 50, Issue 1 https://doi.org/10.1007/s00348-010-0892-2	journal	May 2010
Motion of tracer particles in supersonic flows Tedeschi, G.; Gouin, H.; Elena, M. Experiments in Fluids, Vol. 26, Issue 4 https://doi.org/10.1007/s003480050291	journal	March 1999
Dust suspensions accelerated by shock waves Geng, J. H.; Groenig, H. Experiments in Fluids, Vol. 28, Issue 4 https://doi.org/10.1007/s003480050395	journal	April 2000
Some Properties of Shock Relaxation in Gas Flows Carrying Small Particles Rudinger, George Physics of Fluids, Vol. 7, Issue 5 https://doi.org/10.1063/1.1711265	journal	January 1964
Experimental investigation on interactions among fluid and rod-like particles in a turbulent pipe jet by means of particle image velocimetry Capone, Alessandro; Romano, Giovanni Paolo; Soldati, Alfredo Experiments in Fluids, Vol. 56, Issue 1 https://doi.org/10.1007/s00348-014-1876-4	journal	December 2014
Lamination and folding in electromagnetically driven flows of specified geometries Rossi, Lionel; Lardeau, Sylvain Journal of Turbulence, Vol. 12 https://doi.org/10.1080/14685248.2010.534796	journal	January 2011
Particle Image Velocimetry in Mach 3.5 and 4.5 Shock-Tunnel Flows Haertig, J.; Havermann, M.; Rey, C. AIAA Journal, Vol. 40, Issue 6 https://doi.org/10.2514/2.1787	journal	June 2002
A new experiment to measure shocked particle drag using multi-pulse particle image velocimetry and particle tracking Martinez, Adam A.; Orlicz, Gregory C.; Prestridge, Katherine P. Experiments in Fluids, Vol. 56, Issue 1 https://doi.org/10.1007/s00348-014-1854-x	journal	November 2014
Experimental Lagrangian acceleration probability density function measurement Mordant, N.; Crawford, A. M.; Bodenschatz, E. Physica D: Nonlinear Phenomena, Vol. 193, Issue 1-4 https://doi.org/10.1016/j.physd.2004.01.041	journal	June 2004
Morphological method for surface metrology and dimensional metrology based on the alpha shape Jiang, Xiangqian; Lou, Shan; Scott, Paul J. Measurement Science and Technology, Vol. 23, Issue 1 https://doi.org/10.1088/0957-0233/23/1/015003	journal	December 2011
N -pulse particle image velocimetry-accelerometry for unsteady flow-structure interaction Ding, Liuyang; Adrian, Ronald J. Measurement Science and Technology, Vol. 28, Issue 1 https://doi.org/10.1088/1361-6501/28/1/014001	journal	November 2016
Correction Method for Particle Velocimetry Data Based on the Stokes Drag Law Koike, Shunsuke; Takahashi, Hidemi; Tanaka, Koichi AIAA Journal, Vol. 45, Issue 11 https://doi.org/10.2514/1.30962	journal	November 2007
Planar velocity measurements in compressible mixing layers Urban, William D.; Mungal, M. G. Journal of Fluid Mechanics, Vol. 431 https://doi.org/10.1017/s0022112000003177	journal	March 2001
Measurement of instantaneous Eulerian acceleration fields by particle image accelerometry: method and accuracy Christensen, K.; Adrian, R. Experiments in Fluids, Vol. 33, Issue 6 https://doi.org/10.1007/s00348-002-0488-6	journal	December 2002
Shock Tube Study of the Drag Coefficient of a Sphere in a Non-Stationary Flow Igra, O.; Takayama, K. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 442, Issue 1915 https://doi.org/10.1098/rspa.1993.0102	journal	August 1993
Relaxation drag history of shock accelerated microparticles Bordoloi, Ankur D.; Martinez, Adam A.; Prestridge, Katherine Journal of Fluid Mechanics, Vol. 823 https://doi.org/10.1017/jfm.2017.389	journal	June 2017
Particle tracking velocimetry and accelerometry (PTVA) measurements applied to quasi-two-dimensional multi-scale flows Ferrari, Simone; Rossi, Lionel Experiments in Fluids, Vol. 44, Issue 6 https://doi.org/10.1007/s00348-007-0443-7	journal	January 2008
Planar velocity measurements of a two-dimensional compressible wake Scarano, F.; Oudheusden, B. W. Experiments in Fluids, Vol. 34, Issue 3 https://doi.org/10.1007/s00348-002-0581-x	journal	February 2003
Effective Drag Coefficient for Gas-Particle Flow in Shock Tubes Rudinger, George Journal of Basic Engineering, Vol. 92, Issue 1 https://doi.org/10.1115/1.3424925	journal	March 1970
Shock propagation through a perfect gas entrained with a normal distribution of fine particles Butler, P. B.; Schmitt, R. G. Powder Technology, Vol. 63, Issue 3 https://doi.org/10.1016/0032-5910(90)80048-4	journal	December 1990
3D PTV and its application on Lagrangian motion Virant, Marko; Dracos, Themistocles Measurement Science and Technology, Vol. 8, Issue 12 https://doi.org/10.1088/0957-0233/8/12/017	journal	December 1997
Fluid particle accelerations in fully developed turbulence La Porta, A.; Voth, Greg A.; Crawford, Alice M. Nature, Vol. 409, Issue 6823 https://doi.org/10.1038/35059027	journal	February 2001
Lagrangian measurement of vorticity dynamics in turbulent flow LÜThi, Beat; Tsinober, Arkady; Kinzelbach, Wolfgang Journal of Fluid Mechanics, Vol. 528 https://doi.org/10.1017/S0022112004003283	journal	January 1999
The unsteadiness of shock waves propagating through gas-particle mixtures Sommerfeld, M. Experiments in Fluids, Vol. 3, Issue 4 https://doi.org/10.1007/BF00265101	journal	July 1985
Measurement of particle accelerations in fully developed turbulence Voth, Greg A.; La Porta, A.; Crawford, Alice M. Journal of Fluid Mechanics, Vol. 469 https://doi.org/10.1017/S0022112002001842	journal	October 2002
Particle image velocimetry in Mach 3.5 and 4.5 shock-tunnel flows Haertig, J.; Havermann, M.; Rey, C. AIAA Journal, Vol. 40 https://doi.org/10.2514/3.15162	journal	January 2002
Measurement of Particle Accelerations in Fully Developed Turbulence Voth, Greg A.; La Porta, A.; Crawford, Alice M. arXiv https://doi.org/10.48550/arxiv.physics/0110027	text	January 2001
Experimental Lagrangian Acceleration Probability Density Function Measurement Mordant, Nicolas; Crawford, Alice M.; Bodenschatz, Eberhard arXiv https://doi.org/10.48550/arxiv.physics/0303003	text	January 2003

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