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1

Ishii, R., and Y. Umeda. "Freejet flows of gas-particle mixtures." Journal of Thermophysics and Heat Transfer 2, no. 1 (January 1988): 17–24. http://dx.doi.org/10.2514/3.56.

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2

Ishii, R., Y. Umeda, and K. Kawasaki. "Nozzle flows of gas–particle mixtures." Physics of Fluids 30, no. 3 (1987): 752. http://dx.doi.org/10.1063/1.866325.

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3

Zhou, Lixing, and Zhuoxiong Zeng. "Studies on gas turbulence and particle fluctuation in dense gas-particle flows." Acta Mechanica Sinica 24, no. 3 (May 8, 2008): 251–60. http://dx.doi.org/10.1007/s10409-008-0156-z.

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4

Ishii, R., Y. Umeda, and M. Yuhi. "Numerical analysis of gas-particle two-phase flows." Journal of Fluid Mechanics 203 (June 1989): 475–515. http://dx.doi.org/10.1017/s0022112089001552.

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This paper is concerned with a numerical analysis of axisymmetric gas-particle two-phase flows. Underexpanded supersonic free-jet flows and supersonic flows around a truncated cylinder of gas-particle mixtures are solved numerically on the super computer Fujitsu VP-400. The gas phase is treated as a continuum medium, and the particle phase is treated partly as a discrete one. The particle cloud is divided into a large number of small clouds. In each cloud, the particles are approximated to have the same velocity and temperature. The particle flow field is obtained by following these individual
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5

Gusev, V. N., and Yu V. Nikol'skii. "Modeling gas dynamic particle interaction in rarefied gas flows." Fluid Dynamics 22, no. 1 (1987): 129–35. http://dx.doi.org/10.1007/bf01050863.

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6

Shaffer, F. D., and R. A. Bajura. "Analysis of Venturi Performance for Gas-Particle Flows." Journal of Fluids Engineering 112, no. 1 (March 1, 1990): 121–27. http://dx.doi.org/10.1115/1.2909359.

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In recent years, use of the venturi for measurement of gas-particle flows has received considerable attention. The technology for the venturi as a single-phase flowmeter has matured to the point that application is routine. Much more research, however, is required to establish the venturi as an acceptable gas-particle flowmeter. The first part of this paper consists of a discussion of the basic principles of venturi pressure-flow performance for gas-particle flows. This is followed by a description of the experimental calibration of a venturi for measurement of gas-particle flows with particle
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7

Holloway, William, and Sankaran Sundaresan. "Filtered models for reacting gas–particle flows." Chemical Engineering Science 82 (September 2012): 132–43. http://dx.doi.org/10.1016/j.ces.2012.07.019.

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8

Holloway, William, and Sankaran Sundaresan. "Filtered models for bidisperse gas–particle flows." Chemical Engineering Science 108 (April 2014): 67–86. http://dx.doi.org/10.1016/j.ces.2013.12.037.

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9

Sikovskii, D. F. "Relations for particle deposition in turbulent gas-particle channel flows." Fluid Dynamics 45, no. 1 (February 2010): 74–84. http://dx.doi.org/10.1134/s0015462810010096.

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10

Sommerfeld, M. "Modelling of particle-wall collisions in confined gas-particle flows." International Journal of Multiphase Flow 18, no. 6 (November 1992): 905–26. http://dx.doi.org/10.1016/0301-9322(92)90067-q.

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11

Oesterle, B., and A. Petitjean. "Simulation of particle-to-particle interactions in gas solid flows." International Journal of Multiphase Flow 19, no. 1 (February 1993): 199–211. http://dx.doi.org/10.1016/0301-9322(93)90033-q.

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12

Pratsinis, Sotiris E. "Particle production by gas-to-particle conversion in turbulent flows." Journal of Aerosol Science 20, no. 8 (January 1989): 1461–64. http://dx.doi.org/10.1016/0021-8502(89)90862-8.

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13

Zhang, Ma, Kim, and Lin. "Numerical Analysis of Supersonic Impinging Jet Flows of Particle-Gas Two Phases." Processes 8, no. 2 (February 5, 2020): 191. http://dx.doi.org/10.3390/pr8020191.

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Supersonic impinging jet flows always occur when aircrafts start short takeoff and vertical landing from the ground. Supersonic flows with residues produced by chemical reaction of fuel mixture have the potential of reducing aircraft performance and landing ground. The adverse flow conditions such as impinging force, high noise spectrum, and high shear stress always take place. Due to rare data on particle-gas impinging jet flows to date, three-dimensional numerical simulations were carried out to investigate supersonic impinging jet flows of particle-gas two phases in the present studies. A c
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14

Ishii, R., N. Hatta, Y. Umeda, and M. Yuhi. "Supersonic gas-particle two-phase flow around a sphere." Journal of Fluid Mechanics 221 (December 1990): 453–83. http://dx.doi.org/10.1017/s0022112090003639.

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This paper describes supersonic flows of a gas-particle mixture around a sphere. The Euler equations for a gas-phase interacting with a particle one are solved by using a TVD (Total Variation Diminishing) scheme developed by Chakravarthy & Osher, and the particle phase is solved by applying a discrete particle-cloud model. First, steady two-phase flows with a finite loading ratio are simulated. By comparing in detail the dusty results with the dust-free ones, the effects of the presence of particles on the flow field in the shock layer are clarified. Also an attempt to correlate the partic
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15

Mohanarangam, K., and J. Y. Tu. "Numerical Study of Particle Interaction in Gas-Particle and Liquid-Particle Flows: Part I Analysis and Validation." Journal of Computational Multiphase Flows 1, no. 3 (September 2009): 217–44. http://dx.doi.org/10.1260/1757-482x.1.3.217.

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A detailed study into the turbulent behaviour of dilute particulate flow under the influence of two carrier phases namely gas and liquid has been carried out behind a sudden expansion geometry. The major endeavour of the study is to ascertain the response of the particles within the carrier (gas or liquid) phase. The main aim prompting the current study is the density difference between the carrier and the dispersed phases. While the ratio is quite high in terms of the dispersed phase for the gas-particle flows, the ratio is far more less in terms of the liquid-particle flows. Numerical simula
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16

Slater, Shane A., and John B. Young. "The calculation of inertial particle transport in dilute gas-particle flows." International Journal of Multiphase Flow 27, no. 1 (January 2001): 61–87. http://dx.doi.org/10.1016/s0301-9322(99)00122-6.

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17

He, Yongxiang, and Haibo Zhao. "Conservative particle weighting scheme for particle collision in gas-solid flows." International Journal of Multiphase Flow 83 (July 2016): 12–26. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2016.03.008.

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18

YUU, Shinichi. "Numerical Simulations for Gas-particle and Granular Flows." Journal of the Society of Powder Technology, Japan 30, no. 3 (1993): 194–200. http://dx.doi.org/10.4164/sptj.30.3_194.

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19

Slater, S. A., A. D. Leeming, and J. B. Young. "Particle deposition from two-dimensional turbulent gas flows." International Journal of Multiphase Flow 29, no. 5 (May 2003): 721–50. http://dx.doi.org/10.1016/s0301-9322(03)00037-5.

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20

Yan, Xiaokang, William Holloway, and Sankaran Sundaresan. "Periodic flow structures in vertical gas-particle flows." Powder Technology 241 (June 2013): 174–80. http://dx.doi.org/10.1016/j.powtec.2013.03.024.

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21

Baruah, C. K., and N. M. Reddy. "Modified governing equations for gas-particle nozzle flows." Acta Mechanica 71, no. 1-4 (February 1988): 215–25. http://dx.doi.org/10.1007/bf01173948.

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22

Nussbaum, Julien, Philippe Helluy, Jean-Marc Hérard, and Alain Carriére. "Numerical simulations of gas-particle flows with combustion." Flow, Turbulence and Combustion 76, no. 4 (June 2006): 403–17. http://dx.doi.org/10.1007/s10494-006-9028-4.

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23

Mohanarangam, K., and J. Y. Tu. "Numerical Study of Particle Interaction in Gas-Particle and Liquid-Particle Flows: Part II Particle Response." Journal of Computational Multiphase Flows 1, no. 3 (September 2009): 245–62. http://dx.doi.org/10.1260/1757-482x.1.3.245.

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In this paper the numerical model, which was presented in the first paper (Mohanarangam & Tu; 2009) of this series of study, is employed to study the different particle responses under the influence of two carrier phases namely the gas and the liquid. The numerical model takes into consideration the turbulent behaviour of both the carrier and the dispersed phases, with additional equations to take into account the combined fluid particle behaviour, thereby effecting a two-way coupling. The first paper in this series showed the distinct difference in particulate response both at the mean as
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24

Sommerfeld, M., A. Ando, and D. Wennerberg. "Swirling, Particle-Laden Flows Through a Pipe Expansion." Journal of Fluids Engineering 114, no. 4 (December 1, 1992): 648–56. http://dx.doi.org/10.1115/1.2910081.

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The present study concerns a particle-laden, swirling flow through a pipe expansion. A gas-particle flow enters the test section through a center tube, and a swirling air stream enters through a coaxial annulus. The swirl number based on the total inflow is 0.47. Numerical predictions of the gas flow were performed using a finite-volume approach for solving the time-averaged Navier-Stokes equations. The predicted mean velocity profiles showed good agreement with experimental results when using the standard k-ε turbulence model. The turbulent kinetic energy of the gas phase, however, is conside
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25

Hadinoto, K., E. N. Jones, C. Yurteri, and J. S. Curtis. "Reynolds number dependence of gas-phase turbulence in gas–particle flows." International Journal of Multiphase Flow 31, no. 4 (April 2005): 416–34. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2004.11.009.

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26

Tsuji, Yutaka. "Discrete particle simulation of gas-solid flows (From dilute to dense flows)." KONA Powder and Particle Journal 11 (1993): 57–68. http://dx.doi.org/10.14356/kona.1993010.

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27

Wong, Chong Yau, Joan Boulanger, and Gregory Short. "Modelling the Effect of Particle Size Distribution in Multiphase Flows with Computational Fluid Dynamics and Physical Erosion Experiments." Advanced Materials Research 891-892 (March 2014): 1615–20. http://dx.doi.org/10.4028/www.scientific.net/amr.891-892.1615.

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It is known that particle size has an influence in determining the erosion rate, and hence equipment life, on a target material in single phase flows (i.e. flow of solid particles in liquid only or gas only flows). In reality single phase flow is rarely the case for field applications in the oil and gas industry. Field cases are typically multiphase in nature, with volumetric combinations of gas, liquid and sand. Erosion predictions of multiphase flows extrapolated from single phase flow results may be overly conservative. Current understanding of particle size distribution on material erosion
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28

Teiwes, Arne, Maksym Dosta, Michael Jacob, and Stefan Heinrich. "Pulsed Multiphase Flows—Numerical Investigation of Particle Dynamics in Pulsating Gas–Solid Flows at Elevated Temperatures." Processes 8, no. 7 (July 10, 2020): 815. http://dx.doi.org/10.3390/pr8070815.

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Although the benefits of pulsating multiphase flows and the concomitant opportunity to intensify heat and mass transfer processes for, e.g., drying, extraction or chemical reactions have been known for some time, the industrial implementation is still limited. This is particularly due to the lack of understanding of basic influencing factors, such as amplitude and frequency of the pulsating flow and the resulting particle dynamics. The pulsation generates oscillation of velocity, pressure, and temperature, intensifying the heat and mass transfer by a factor of up to five compared to stationary
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29

Doss, E. D., and M. G. Srinivasan. "Modeling of Wall Friction for Multispecies Solid-Gas Flows." Journal of Fluids Engineering 108, no. 4 (December 1, 1986): 486–88. http://dx.doi.org/10.1115/1.3242608.

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The empirical expressions for the equivalent friction factor to simulate the effect of particle-wall interaction with a single solid species have been extended to model the wall shear stress for multispecies solid-gas flows. Expressions representing the equivalent shear stress for solid-gas flows obtained from these wall friction models are included in the one-dimensional two-phase flow model and it can be used to study the effect of particle-wall interaction on the flow characteristics.
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30

Liu, Yang, Xue Liu, Guohui Li, and Lixiang Jiang. "Numerical prediction effects of particle–particle collisions on gas–particle flows in swirl chamber." Energy Conversion and Management 52, no. 3 (March 2011): 1748–54. http://dx.doi.org/10.1016/j.enconman.2010.10.040.

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31

Lv, Sihao, Guohui Li, and Xue Liu. "Particle Dispersion Behaviors of Dense Gas-Particle Flows in Bubble Fluidized Bed." Advances in Mechanical Engineering 5 (January 2013): 616435. http://dx.doi.org/10.1155/2013/616435.

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32

Srinivasan, M. G., and E. D. Doss. "Momentum transfer due to particle—particle interaction in dilute gas—solid flows." Chemical Engineering Science 40, no. 9 (1985): 1791–92. http://dx.doi.org/10.1016/0009-2509(85)80044-0.

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33

AGRAWAL, KAPIL, PETER N. LOEZOS, MADHAVA SYAMLAL, and SANKARAN SUNDARESAN. "The role of meso-scale structures in rapid gas–solid flows." Journal of Fluid Mechanics 445 (October 16, 2001): 151–85. http://dx.doi.org/10.1017/s0022112001005663.

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Meso-scale structures that take the form of clusters and streamers are commonly observed in dilute gas–particle flows, such as those encountered in risers. Continuum equations for gas–particle flows, coupled with constitutive equations for particle-phase stress deduced from kinetic theory of granular materials, can capture the formation of such meso-scale structures. These structures arise as a result of an inertial instability associated with the relative motion between the gas and particle phases, and an instability due to damping of the fluctuating motion of particles by the interstitial fl
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34

Zhu, Hai Ping. "Impact Energy of Gas-Solid Flows." Applied Mechanics and Materials 628 (September 2014): 323–26. http://dx.doi.org/10.4028/www.scientific.net/amm.628.323.

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The models for impact energies of gas-solid flows are proposed based on the governing equations of the flows, and then applied to investigate the energies of the gas-solid flow in a model blast furnace (BF). The kinetic energy, contact and friction energy dissipations, and energy dissipation from fluid – particle interactions are examined. The effect of solid flow rate on the energies is also studied. The results indicate that the distributions of the energies are related to the flow pattern of the solid flow.
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35

Chertock, Alina, Shumo Cui, and Alexander Kurganov. "Hybrid Finite-Volume-Particle Method for Dusty Gas Flows." SMAI journal of computational mathematics 3 (September 14, 2017): 139–80. http://dx.doi.org/10.5802/smai-jcm.23.

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36

Forde, Magnar. "Quasi-one-dimensional gas/particle nozzle flows with shock." AIAA Journal 24, no. 7 (July 1986): 1196–99. http://dx.doi.org/10.2514/3.9415.

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37

LIU, Chunrong, and Yincheng GUO. "Mechanisms for Particle Clustering in Upward Gas-Solid Flows." Chinese Journal of Chemical Engineering 14, no. 2 (April 2006): 141–48. http://dx.doi.org/10.1016/s1004-9541(06)60051-7.

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38

Li, Qiang, and Wenjing Yang. "Study on gas-particle heat transfer in oscillating flows." Powder Technology 314 (June 2017): 339–45. http://dx.doi.org/10.1016/j.powtec.2016.12.041.

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39

Ritsch, M. L., and J. H. Davidson. "Phase Discrimination in Gas-Particle Flows Using Thermal Anemometry." Journal of Fluids Engineering 114, no. 4 (December 1, 1992): 692–94. http://dx.doi.org/10.1115/1.2910088.

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A technique to measure gas-phase turbulence modification by micron-sized particles with thermal anemometry is presented. Bridge output is first digitized and then spikes produced by particle impingement on the hot-wire probe detected using a slope threshold method and replaced by holding the last digital value before each spike. This procedure has negligible effect on flow statistics if spike duration is short compared to the time between spikes.
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40

Nieuwland, J. J., M. van Sint Annaland, J. A. M. Kuipers, and W. P. M. van Swaaij. "Hydrodynamic modeling of gas/particle flows in riser reactors." AIChE Journal 42, no. 6 (June 1996): 1569–82. http://dx.doi.org/10.1002/aic.690420608.

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41

Hrenya, Christine M., and Jennifer L. Sinclair. "Effects of particle-phase turbulence in gas-solid flows." AIChE Journal 43, no. 4 (April 1997): 853–69. http://dx.doi.org/10.1002/aic.690430402.

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42

Chen, C. P., and P. E. Wood. "A turbulence closure model for dilute gas-particle flows." Canadian Journal of Chemical Engineering 63, no. 3 (June 1985): 349–60. http://dx.doi.org/10.1002/cjce.5450630301.

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43

Schuh, M. J., C. A. Schuler, and J. A. C. Humphrey. "Numerical calculation of particle-laden gas flows past tubes." AIChE Journal 35, no. 3 (March 1989): 466–80. http://dx.doi.org/10.1002/aic.690350315.

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44

Romanyuk, D. A., and Yu M. Tsirkunov. "UNSTEADY TWO-PHASE GAS-PARTICLE FLOWS IN BLADE CASCADES." Fluid Dynamics 55, no. 5 (September 2020): 609–20. http://dx.doi.org/10.1134/s0015462820050122.

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45

Yan, F., M. F. Lightstone, and P. E. Wood. "Numerical study on turbulence modulation in gas–particle flows." Heat and Mass Transfer 43, no. 3 (March 10, 2006): 243–53. http://dx.doi.org/10.1007/s00231-006-0103-0.

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46

Agrawal, Kapil, William Holloway, Christian C. Milioli, Fernando E. Milioli, and Sankaran Sundaresan. "Filtered models for scalar transport in gas–particle flows." Chemical Engineering Science 95 (May 2013): 291–300. http://dx.doi.org/10.1016/j.ces.2013.03.017.

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47

Ling, Y., A. Haselbacher, and S. Balachandar. "Transient phenomena in one-dimensional compressible gas–particle flows." Shock Waves 19, no. 1 (February 26, 2009): 67–81. http://dx.doi.org/10.1007/s00193-009-0190-1.

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48

Gurris, Marcel, Dmitri Kuzmin, and Stefan Turek. "Finite element simulation of compressible particle-laden gas flows." Journal of Computational and Applied Mathematics 233, no. 12 (April 2010): 3121–29. http://dx.doi.org/10.1016/j.cam.2009.07.041.

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49

De Guzman, M. M., C. A. J. Fletcher, and M. Behnia. "Gas particle flows about a Cobra probe with purging." Computers & Fluids 24, no. 2 (February 1995): 121–34. http://dx.doi.org/10.1016/0045-7930(94)00026-u.

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50

Zhang, Guang, Wei Wei Wang, Xiang Hui Su, Xiao Jun Li, Wen Hao Shen, and Zhe Lin. "Numerical Studies of Particle-Gas Two-Phase Flowing through Microshock Tubes." Shock and Vibration 2021 (February 15, 2021): 1–12. http://dx.doi.org/10.1155/2021/6628672.

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Microshock tubes are always used to induce shock waves and supersonic flows in aerospace and medical engineering fields. A needle-free drug delivery device including a microshock tube and an expanded nozzle is used for delivering solid drug powders through the skin surface without any injectors or pain. Therefore, to improve the performance of needle-free drug delivery devices, it is significantly important to investigate shock waves and particle-gas flows induced by microshock tubes. Even though shock waves and multiphase flows discharged from microshock tubes have been studied for several de
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