Relaxation drag history of shock accelerated microparticles
Abstract
Experimental measurements of the displacements of shock accelerated microparticles from shortly after shock interaction to the particle relaxation time show timedependent drag coefficients ($$C_{D}$$) that are much higher than those predicted by quasisteady and unsteady drag models. Nylon particles with mean diameter of $$4~\unicode[STIX]{x03BC}\text{m}$$, accelerated by onedimensional normal shocks (Mach number$$M_{s}=1.2$$, 1.3 and 1.4), have measured$$C_{D}$$values that follow a powerlaw behaviour. The drag is a function of the timedependent Knudsen number,$$Kn^{\ast }=M_{s}/Re_{p}$$, where the particle Reynolds number ($$Re_{p}$$) is calculated using the timedependent slip velocity. Also, some portion of the drag can be attributed to quasisteady forces, but the total drag cannot be predicted by current unsteady force models that are based on the Basset–Boussinesq–Oseen equation and pressure drag. The largest contribution to the total drag is the unsteady component ($$C_{D,us}$$) until the particle attains$$Kn^{\ast }\approx 0.5{}1.0$$, then the unsteady contribution decays. The quasisteady component ($$C_{D,qs}$$) increases almost linearly with$$Kn^{\ast }$$, intersects the$$C_{D,us}$$at$$Kn^{\ast }\approx 2$$and becomes the primary contributor to the drag towards the end of the relaxation zone as$$Re_{p}\rightarrow 0$$. Finally, there are currently no analytical models that are able to predict the nonlinear behaviour of the shock accelerated particles during the relaxation phase of the flow.
 Authors:

 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Research Org.:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP)
 OSTI Identifier:
 1369203
 Report Number(s):
 LAUR1722125
Journal ID: ISSN 00221120
 Grant/Contract Number:
 AC5206NA25396
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Fluid Mechanics
 Additional Journal Information:
 Journal Volume: 823; Journal ID: ISSN 00221120
 Publisher:
 Cambridge University Press
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; highspeed flow; multiphase and particleladen flows; shock waves
Citation Formats
Bordoloi, Ankur D., Martinez, Adam A., and Prestridge, Katherine. Relaxation drag history of shock accelerated microparticles. United States: N. p., 2017.
Web. https://doi.org/10.1017/jfm.2017.389.
Bordoloi, Ankur D., Martinez, Adam A., & Prestridge, Katherine. Relaxation drag history of shock accelerated microparticles. United States. https://doi.org/10.1017/jfm.2017.389
Bordoloi, Ankur D., Martinez, Adam A., and Prestridge, Katherine. Wed .
"Relaxation drag history of shock accelerated microparticles". United States. https://doi.org/10.1017/jfm.2017.389. https://www.osti.gov/servlets/purl/1369203.
@article{osti_1369203,
title = {Relaxation drag history of shock accelerated microparticles},
author = {Bordoloi, Ankur D. and Martinez, Adam A. and Prestridge, Katherine},
abstractNote = {Experimental measurements of the displacements of shock accelerated microparticles from shortly after shock interaction to the particle relaxation time show timedependent drag coefficients ($C_{D}$) that are much higher than those predicted by quasisteady and unsteady drag models. Nylon particles with mean diameter of $4~\unicode[STIX]{x03BC}\text{m}$, accelerated by onedimensional normal shocks (Mach number$M_{s}=1.2$, 1.3 and 1.4), have measured$C_{D}$values that follow a powerlaw behaviour. The drag is a function of the timedependent Knudsen number,$Kn^{\ast }=M_{s}/Re_{p}$, where the particle Reynolds number ($Re_{p}$) is calculated using the timedependent slip velocity. Also, some portion of the drag can be attributed to quasisteady forces, but the total drag cannot be predicted by current unsteady force models that are based on the Basset–Boussinesq–Oseen equation and pressure drag. The largest contribution to the total drag is the unsteady component ($C_{D,us}$) until the particle attains$Kn^{\ast }\approx 0.5{}1.0$, then the unsteady contribution decays. The quasisteady component ($C_{D,qs}$) increases almost linearly with$Kn^{\ast }$, intersects the$C_{D,us}$at$Kn^{\ast }\approx 2$and becomes the primary contributor to the drag towards the end of the relaxation zone as$Re_{p}\rightarrow 0$. Finally, there are currently no analytical models that are able to predict the nonlinear behaviour of the shock accelerated particles during the relaxation phase of the flow.},
doi = {10.1017/jfm.2017.389},
journal = {Journal of Fluid Mechanics},
number = ,
volume = 823,
place = {United States},
year = {2017},
month = {6}
}
Web of Science
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