Dynamics of motion of a pair of particles in a supersonic flow

The problem of motion dynamics of two particles in a supersonic flow behind an incident shock wave was considered numerically and experimentally. The experiments were carried out in a shock tube. High-speed shadowgraphy with a laser stroboscope light source was used. The mathematical model was based...

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Published in:Shock waves Vol. 31; no. 6; pp. 571 - 582
Main Authors: Utkin, P. S., Sidorenko, D. A., Boiko, V. M.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021
Springer Nature B.V
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ISSN:0938-1287, 1432-2153
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Abstract The problem of motion dynamics of two particles in a supersonic flow behind an incident shock wave was considered numerically and experimentally. The experiments were carried out in a shock tube. High-speed shadowgraphy with a laser stroboscope light source was used. The mathematical model was based on the two-dimensional Euler equations. The original, highly scalable, parallel algorithm of the Cartesian grid method for simulation of flows with shock waves in areas with changing geometry was used in the numerical simulations. The main stages of the process were described from the point of view of the realized shock-wave configurations. The effect of changing two modes of supersonic flow around two particles was obtained. The experimental and simulated flow patterns and dynamics of particle motion correlate well.
AbstractList The problem of motion dynamics of two particles in a supersonic flow behind an incident shock wave was considered numerically and experimentally. The experiments were carried out in a shock tube. High-speed shadowgraphy with a laser stroboscope light source was used. The mathematical model was based on the two-dimensional Euler equations. The original, highly scalable, parallel algorithm of the Cartesian grid method for simulation of flows with shock waves in areas with changing geometry was used in the numerical simulations. The main stages of the process were described from the point of view of the realized shock-wave configurations. The effect of changing two modes of supersonic flow around two particles was obtained. The experimental and simulated flow patterns and dynamics of particle motion correlate well.
Author Utkin, P. S.
Boiko, V. M.
Sidorenko, D. A.
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  surname: Boiko
  fullname: Boiko, V. M.
  organization: Khristianovich Institute of Theoretical and Applied Mechanics SB of RAS
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Cites_doi 10.20537/2076-7633-2021-13-3-513-540
10.1063/1.4913217
10.1006/jfls.1997.0101
10.1007/s00193-002-0172-z
10.1017/jfm.2017.909
10.1134/S0010508212040119
10.1098/rspa.1993.0102
10.1007/s001930100105
10.1007/s001930050082
10.1016/j.ijmultiphaseflow.2018.06.013
10.1134/S2070048219040136
10.1103/PhysRevFluids.1.054202
10.4310/CMS.2008.v6.n3.a1
10.1017/jfm.2017.389
10.1016/j.ijmultiphaseflow.2013.12.007
10.1007/s10573-010-0031-7
10.2514/3.61409
10.1134/S0021894415050028
10.1007/s00193-003-0209-y
10.1007/s00348-013-1458-x
10.1115/1.4007385
10.1007/s00193-007-0109-7
10.1016/0021-9991(81)90210-2
10.1007/s10891-017-1581-2
10.1063/1.4943616
10.1023/B:FLUI.0000030316.35579.73
10.1007/s00193-011-0317-z
10.1007/1-4020-4977-3_25
10.2514/5.9781600865602.0071.0087
10.1007/978-3-030-28163-2_23
10.2514/6.2004-1284
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Issue 6
Keywords Supersonic flow
Laser visualization
Euler equations
Cartesian grid method
Particles
Shock-wave interaction
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PublicationSubtitle An International Journal on Shock Waves, Detonations and Explosions - Published under the Auspices of The International Shock Wave Institute
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References Das, Sen, Choi, Jacobs, Udaykumar (CR11) 2018; 108
Saito, Saba, Sun, Takayama (CR36) 2007; 17
Igra, Igra, Houas, Jourdan (CR27) 2012; 134
Zhang, Shi, Wang, Dong, Jia, Zhang, Yue (CR14) 2011; 21
Boiko, Kiselev, Kiselev, Papyrin, Poplavsky, Fomin (CR16) 1997; 7
Chang (CR29) 1970
Fedorov, Shulgin, Poplavski (CR1) 2010; 46
CR13
Chertock, Kurganov (CR21) 2008; 6
CR34
Bordoloi, Martinez, Prestridge (CR2) 2017; 823
Sidorenko, Utkin (CR18) 2019; 11
Tanno, Itoh, Saito, Abe, Takayama (CR35) 2003; 13
CR30
Goldsmith (CR25) 1960
Bedarev, Fedorov (CR12) 2017; 90
Boiko, Klinkov, Poplavski (CR3) 2004; 39
Mehta, Neal, Jackson, Balachandar, Thakur (CR9) 2016; 1
Sridharan, Jackson, Zhang, Balachandar (CR7) 2015; 117
Devals, Jourdan, Estivalezes, Meshkov, Houas (CR31) 2003; 12
Mehta, Neal, Salari, Jackson, Balachandar, Thakur (CR10) 2018; 839
Mehta, Jackson, Zhang, Balachandar (CR5) 2016; 119
Henderson (CR33) 1976; 14
CR28
Kolgan (CR20) 1972; 3
CR26
Drikakis, Ofengeim, Timofeev, Voionovich (CR24) 1997; 11
Igra, Takayama (CR32) 1993; 442
CR22
Sosin, Sidorenko, Utkin (CR23) 2021; 13
Bedarev, Fedorov, Fomin (CR4) 2012; 48
Steger, Warming (CR19) 1981; 40
Regele, Rabinovitch, Colonius, Blanquart (CR8) 2014; 61
Versluis (CR15) 2013; 54
Boiko, Poplavski (CR17) 2002; 11
Bedarev, Fedorov (CR6) 2015; 56
Y Mehta (1042_CR9) 2016; 1
PK Chang (1042_CR29) 1970
A Chertock (1042_CR21) 2008; 6
AD Bordoloi (1042_CR2) 2017; 823
AV Sosin (1042_CR23) 2021; 13
AV Fedorov (1042_CR1) 2010; 46
T Saito (1042_CR36) 2007; 17
W Goldsmith (1042_CR25) 1960
VM Boiko (1042_CR3) 2004; 39
1042_CR22
H Tanno (1042_CR35) 2003; 13
1042_CR28
1042_CR26
JD Regele (1042_CR8) 2014; 61
Y Mehta (1042_CR5) 2016; 119
VP Kolgan (1042_CR20) 1972; 3
M Versluis (1042_CR15) 2013; 54
IA Bedarev (1042_CR4) 2012; 48
LT Zhang (1042_CR14) 2011; 21
O Igra (1042_CR32) 1993; 442
DA Sidorenko (1042_CR18) 2019; 11
VM Boiko (1042_CR17) 2002; 11
D Igra (1042_CR27) 2012; 134
CB Henderson (1042_CR33) 1976; 14
IA Bedarev (1042_CR6) 2015; 56
JL Steger (1042_CR19) 1981; 40
1042_CR30
1042_CR34
1042_CR13
P Sridharan (1042_CR7) 2015; 117
D Drikakis (1042_CR24) 1997; 11
Y Mehta (1042_CR10) 2018; 839
P Das (1042_CR11) 2018; 108
IA Bedarev (1042_CR12) 2017; 90
VM Boiko (1042_CR16) 1997; 7
C Devals (1042_CR31) 2003; 12
References_xml – volume: 3
  start-page: 68
  issue: 6
  year: 1972
  end-page: 77
  ident: CR20
  article-title: Application of the principle of minimum derivatives to the construction of difference schemes for computing discontinuous solutions of gas dynamics
  publication-title: Uchenye zapiski TsAGI
– ident: CR22
– volume: 13
  start-page: 513
  issue: 3
  year: 2021
  end-page: 540
  ident: CR23
  article-title: Numerical study of the interaction of a shock wave with moving rotating bodies with a complex shape
  publication-title: Comput. Res. Model.
  doi: 10.20537/2076-7633-2021-13-3-513-540
– volume: 117
  start-page: 075902
  year: 2015
  ident: CR7
  article-title: Shock interaction with one-dimensional array of particles in air
  publication-title: J. Appl. Phys.
  doi: 10.1063/1.4913217
– volume: 11
  start-page: 665
  year: 1997
  end-page: 691
  ident: CR24
  article-title: Computation of non-stationary shock-wave/cylinder interaction using adaptive-grid methods
  publication-title: J. Fluids Struct.
  doi: 10.1006/jfls.1997.0101
– volume: 12
  start-page: 325
  year: 2003
  end-page: 331
  ident: CR31
  article-title: Shock tube spherical particle acceleration study for drag coefficient determination
  publication-title: Shock Waves
  doi: 10.1007/s00193-002-0172-z
– volume: 839
  start-page: 157
  year: 2018
  end-page: 197
  ident: CR10
  article-title: Propagation of a strong shock over a random bed of spherical particles
  publication-title: J. Fluid Mech.
  doi: 10.1017/jfm.2017.909
– ident: CR30
– volume: 48
  start-page: 446
  issue: 4
  year: 2012
  end-page: 454
  ident: CR4
  article-title: Numerical analysis of the flow around a system of bodies behind the shock wave
  publication-title: Comb. Expl. Shock Waves.
  doi: 10.1134/S0010508212040119
– volume: 442
  start-page: 231
  year: 1993
  end-page: 247
  ident: CR32
  article-title: Shock tube study of the drag coefficient of a sphere in a non-stationary flow
  publication-title: Proc. R. Soc. A.
  doi: 10.1098/rspa.1993.0102
– volume: 11
  start-page: 289
  year: 2002
  end-page: 295
  ident: CR17
  article-title: Self-ignition and ignition of aluminum powders in shock waves
  publication-title: Shock Waves
  doi: 10.1007/s001930100105
– year: 1960
  ident: CR25
  publication-title: Impact: The Theory and Physical Behaviour of Colliding Solids
– volume: 7
  start-page: 275
  year: 1997
  end-page: 285
  ident: CR16
  article-title: Shock wave interaction with a cloud of particles
  publication-title: Shock Waves
  doi: 10.1007/s001930050082
– volume: 108
  start-page: 51
  year: 2018
  end-page: 68
  ident: CR11
  article-title: Strategies for efficient machine learning of surrogate drag models from three-dimensional mesoscale computations of shocked particulate flows
  publication-title: Int. J. Multiph. Flow.
  doi: 10.1016/j.ijmultiphaseflow.2018.06.013
– volume: 11
  start-page: 509
  issue: 4
  year: 2019
  end-page: 517
  ident: CR18
  article-title: Numerical modeling of the relaxation of a body behind the transmitted shock wave
  publication-title: Math. Models Comput. Simul.
  doi: 10.1134/S2070048219040136
– volume: 1
  year: 2016
  ident: CR9
  article-title: Shock interaction with three-dimensional face centered cubic array of particles
  publication-title: Phys. Rev. Fluids.
  doi: 10.1103/PhysRevFluids.1.054202
– volume: 6
  start-page: 531
  issue: 3
  year: 2008
  end-page: 556
  ident: CR21
  article-title: A simple finite-volume method for compressible fluids in domains with moving boundaries
  publication-title: Commun. Math. Sci.
  doi: 10.4310/CMS.2008.v6.n3.a1
– volume: 823
  start-page: R4
  year: 2017
  ident: CR2
  article-title: Relaxation drag history of shock accelerated microparticles
  publication-title: J. Fluid Mech.
  doi: 10.1017/jfm.2017.389
– volume: 61
  start-page: 1
  year: 2014
  end-page: 13
  ident: CR8
  article-title: Unsteady effects in dense, high speed, particle laden flows
  publication-title: Int. J. Multiph. Flow.
  doi: 10.1016/j.ijmultiphaseflow.2013.12.007
– volume: 46
  start-page: 207
  year: 2010
  end-page: 215
  ident: CR1
  article-title: Motion of a particle behind the shock wave front
  publication-title: Comb. Expl. Shock Waves.
  doi: 10.1007/s10573-010-0031-7
– volume: 14
  start-page: 707
  issue: 6
  year: 1976
  end-page: 708
  ident: CR33
  article-title: Drag coefficients of spheres in continuum and rarefied flows
  publication-title: AIAA J.
  doi: 10.2514/3.61409
– volume: 56
  start-page: 750
  issue: 5
  year: 2015
  end-page: 760
  ident: CR6
  article-title: Computation of wave interference and relaxation of particles after passing of a shock wave
  publication-title: J. Appl. Mech. Tech. Phys.
  doi: 10.1134/S0021894415050028
– volume: 13
  start-page: 191
  year: 2003
  end-page: 200
  ident: CR35
  article-title: Interaction of a shock with a sphere suspended in a vertical shock tube
  publication-title: Shock Waves
  doi: 10.1007/s00193-003-0209-y
– volume: 54
  start-page: 1458
  year: 2013
  ident: CR15
  article-title: High-speed imaging in fluids
  publication-title: Exp. Fluids
  doi: 10.1007/s00348-013-1458-x
– ident: CR13
– volume: 134
  year: 2012
  ident: CR27
  article-title: Simulation of sphere’s motion induced by shock waves
  publication-title: J. Fluids Eng.
  doi: 10.1115/1.4007385
– volume: 17
  start-page: 255
  year: 2007
  end-page: 262
  ident: CR36
  article-title: The effect of an unsteady drag force on the structure of a non-equilibrium region behind a shock wave in a gas-particle mixture
  publication-title: Shock Waves
  doi: 10.1007/s00193-007-0109-7
– year: 1970
  ident: CR29
  publication-title: Separation of Flow
– ident: CR34
– volume: 40
  start-page: 263
  year: 1981
  end-page: 293
  ident: CR19
  article-title: Flux vector splitting of the inviscid gasdynamic equations with applications to finite-difference methods
  publication-title: J. Comput. Phys.
  doi: 10.1016/0021-9991(81)90210-2
– volume: 90
  start-page: 423
  issue: 2
  year: 2017
  end-page: 429
  ident: CR12
  article-title: Direct simulation of the relaxation of several particles behind transmitted shock waves
  publication-title: J. Eng. Phys. Thermophys.
  doi: 10.1007/s10891-017-1581-2
– volume: 119
  year: 2016
  ident: CR5
  article-title: Numerical investigation of shock interaction with one-dimensional transverse array of particles in air
  publication-title: J. Appl. Phys.
  doi: 10.1063/1.4943616
– ident: CR28
– volume: 39
  start-page: 330
  issue: 2
  year: 2004
  end-page: 338
  ident: CR3
  article-title: Collective bow shock ahead of a transverse system of spheres in a supersonic flow behind a moving shock wave
  publication-title: Fluid Dyn.
  doi: 10.1023/B:FLUI.0000030316.35579.73
– ident: CR26
– volume: 21
  start-page: 243
  year: 2011
  end-page: 252
  ident: CR14
  article-title: Aerodynamic characteristics of solid particles’ acceleration by shock waves
  publication-title: Shock Waves
  doi: 10.1007/s00193-011-0317-z
– volume: 7
  start-page: 275
  year: 1997
  ident: 1042_CR16
  publication-title: Shock Waves
  doi: 10.1007/s001930050082
– volume: 117
  start-page: 075902
  year: 2015
  ident: 1042_CR7
  publication-title: J. Appl. Phys.
  doi: 10.1063/1.4913217
– volume: 56
  start-page: 750
  issue: 5
  year: 2015
  ident: 1042_CR6
  publication-title: J. Appl. Mech. Tech. Phys.
  doi: 10.1134/S0021894415050028
– volume: 17
  start-page: 255
  year: 2007
  ident: 1042_CR36
  publication-title: Shock Waves
  doi: 10.1007/s00193-007-0109-7
– volume: 108
  start-page: 51
  year: 2018
  ident: 1042_CR11
  publication-title: Int. J. Multiph. Flow.
  doi: 10.1016/j.ijmultiphaseflow.2018.06.013
– ident: 1042_CR30
  doi: 10.1007/1-4020-4977-3_25
– volume-title: Impact: The Theory and Physical Behaviour of Colliding Solids
  year: 1960
  ident: 1042_CR25
– ident: 1042_CR34
– volume: 48
  start-page: 446
  issue: 4
  year: 2012
  ident: 1042_CR4
  publication-title: Comb. Expl. Shock Waves.
  doi: 10.1134/S0010508212040119
– volume: 839
  start-page: 157
  year: 2018
  ident: 1042_CR10
  publication-title: J. Fluid Mech.
  doi: 10.1017/jfm.2017.909
– volume: 54
  start-page: 1458
  year: 2013
  ident: 1042_CR15
  publication-title: Exp. Fluids
  doi: 10.1007/s00348-013-1458-x
– volume: 61
  start-page: 1
  year: 2014
  ident: 1042_CR8
  publication-title: Int. J. Multiph. Flow.
  doi: 10.1016/j.ijmultiphaseflow.2013.12.007
– volume: 119
  year: 2016
  ident: 1042_CR5
  publication-title: J. Appl. Phys.
  doi: 10.1063/1.4943616
– volume: 12
  start-page: 325
  year: 2003
  ident: 1042_CR31
  publication-title: Shock Waves
  doi: 10.1007/s00193-002-0172-z
– volume: 823
  start-page: R4
  year: 2017
  ident: 1042_CR2
  publication-title: J. Fluid Mech.
  doi: 10.1017/jfm.2017.389
– volume: 21
  start-page: 243
  year: 2011
  ident: 1042_CR14
  publication-title: Shock Waves
  doi: 10.1007/s00193-011-0317-z
– volume: 442
  start-page: 231
  year: 1993
  ident: 1042_CR32
  publication-title: Proc. R. Soc. A.
  doi: 10.1098/rspa.1993.0102
– volume: 13
  start-page: 191
  year: 2003
  ident: 1042_CR35
  publication-title: Shock Waves
  doi: 10.1007/s00193-003-0209-y
– volume-title: Separation of Flow
  year: 1970
  ident: 1042_CR29
– volume: 14
  start-page: 707
  issue: 6
  year: 1976
  ident: 1042_CR33
  publication-title: AIAA J.
  doi: 10.2514/3.61409
– volume: 11
  start-page: 289
  year: 2002
  ident: 1042_CR17
  publication-title: Shock Waves
  doi: 10.1007/s001930100105
– volume: 13
  start-page: 513
  issue: 3
  year: 2021
  ident: 1042_CR23
  publication-title: Comput. Res. Model.
  doi: 10.20537/2076-7633-2021-13-3-513-540
– volume: 11
  start-page: 665
  year: 1997
  ident: 1042_CR24
  publication-title: J. Fluids Struct.
  doi: 10.1006/jfls.1997.0101
– volume: 40
  start-page: 263
  year: 1981
  ident: 1042_CR19
  publication-title: J. Comput. Phys.
  doi: 10.1016/0021-9991(81)90210-2
– volume: 90
  start-page: 423
  issue: 2
  year: 2017
  ident: 1042_CR12
  publication-title: J. Eng. Phys. Thermophys.
  doi: 10.1007/s10891-017-1581-2
– volume: 1
  year: 2016
  ident: 1042_CR9
  publication-title: Phys. Rev. Fluids.
  doi: 10.1103/PhysRevFluids.1.054202
– volume: 3
  start-page: 68
  issue: 6
  year: 1972
  ident: 1042_CR20
  publication-title: Uchenye zapiski TsAGI
– volume: 6
  start-page: 531
  issue: 3
  year: 2008
  ident: 1042_CR21
  publication-title: Commun. Math. Sci.
  doi: 10.4310/CMS.2008.v6.n3.a1
– volume: 39
  start-page: 330
  issue: 2
  year: 2004
  ident: 1042_CR3
  publication-title: Fluid Dyn.
  doi: 10.1023/B:FLUI.0000030316.35579.73
– ident: 1042_CR28
– ident: 1042_CR26
  doi: 10.2514/5.9781600865602.0071.0087
– volume: 134
  year: 2012
  ident: 1042_CR27
  publication-title: J. Fluids Eng.
  doi: 10.1115/1.4007385
– ident: 1042_CR22
  doi: 10.1007/978-3-030-28163-2_23
– ident: 1042_CR13
  doi: 10.2514/6.2004-1284
– volume: 11
  start-page: 509
  issue: 4
  year: 2019
  ident: 1042_CR18
  publication-title: Math. Models Comput. Simul.
  doi: 10.1134/S2070048219040136
– volume: 46
  start-page: 207
  year: 2010
  ident: 1042_CR1
  publication-title: Comb. Expl. Shock Waves.
  doi: 10.1007/s10573-010-0031-7
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Snippet The problem of motion dynamics of two particles in a supersonic flow behind an incident shock wave was considered numerically and experimentally. The...
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SubjectTerms Acoustics
Algorithms
Cartesian coordinates
Computer simulation
Condensed Matter Physics
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Euler-Lagrange equation
Flow control
Flow distribution
Flow simulation
Fluid- and Aerodynamics
Grid method
Heat and Mass Transfer
Light sources
Mathematical models
Original Article
Particle motion
Shock waves
Supersonic flow
Thermodynamics
Two dimensional models
Title Dynamics of motion of a pair of particles in a supersonic flow
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Volume 31
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