Numerical Study on Unsteady Wave Patterns Produced by Particle Injection in Pipe Flows

Abstract

Abstract: We investigate numerically unsteady wave patterns causing by injecting particles in one-dimensional pipe flows. Numerical simulations are performed using two-dimensional and axisymmetric vectorized adaptive solver. Coupling interaction of particles and flow and variation of flow parameters are highlighted. It is found that several kinds and intensities of wave patterns induced at different particle temperature and flow velocity are shown. We discuss wave patterns resulting by adding mass and heating interaction. Physics parameters in these flow field regions are given. In addition, phase diagrams about intensity of wave patterns are obtained to show flow field influenced by changing parameters.

Key words: compressed dusty flow, particle injection, wave pattern, CFD

CLC Number:

O354
O359

YIN Jingyue, LUO Xisheng. Numerical Study on Unsteady Wave Patterns Produced by Particle Injection in Pipe Flows[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(4): 391-398.

References

[1] SAFFMAN P G. On the stability of laminar flow of a dusty gas[J]. Journal of Fluid Mechanics, 1962, 13(1):120-128.
[2] Sakharov, 王柏懿. 超声速含灰气体钝体绕流的传热增强及颗粒惯性沉积效应[J]. 自然科学进展, 2002, 12:3.
[3] 王柏懿, 欧西普措夫A N, 特维若夫斯基M A. 超声速气流中含灰气体点源流动特性[J]. 应用数学和力学, 2003, 24(8):821-826.
[4] 王柏懿, 吴清松. 变截面管道中激波诱导的两相流动[J]. 空气动力学学报,1992, 10(3):355-361.
[5] BOIKO V M, KISELEV V P, KISELEV S P, et al. Shock wave interaction with a cloud of particles[J]. Shock Waves, 1997, 7(5):275-285.
[6] 马银亮. 高浓度气固两相流的数值模拟研究[D]. 杭州:浙江大学博士学位论文, 2001:17-26.
[7] HORIO M, IWADATE Y, SUGAYA T. Particle normal stress distribution around a rising bubble in a fluidized bed[J]. Powder Technology, 1998, 96(2):148-157.
[8] TSUJI Y, TANAKA T, YONEMURA S. Cluster patterns in circulating fluidized beds predicted by numerical simulation (discrete particle model versus two-fluid model)[J]. Powder Technology, 1998, 95(3):254-264.
[9] GE W, LI J. In cireulating fluidized bed technology[M]. KWAUK M,LI J, ed.Beijing:Science Press,1996:0-266.
[10] CROWE C T, TROUTT T R, CHUNG J N. Numerical models for two-phase turbulent flows[J]. Annual Review of Fluid Mechanics, 1996, 28(1):11-43.
[11] LOEKWOOD F C, PPADAOPOULOS C, ABBAS A S. Prediction of a comer-fired power station combustor[J].Combustion Science and Technology, 1988, 58(1-3):5-23.
[12] ANDREWS M J, ROURKE P J O. The multi phase particle-in-cell(MP-PIC) method for dense particulate flow[J].Int J Multiphase Flow,1996,22:379-402.
[13] JACOBS G B, DON W S. A high-order WENO-Z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks[J]. J Comput Phys, 2009,228:1364-1379.
[14] SENATORE G, DAVIS S, JACOBS G. The effect of non-uniform mass loading on the linear, temporal development of particle-laden shear layers[J]. Physics of Fluids, 2015, 27(3):033302.
[15] BARTLMÄ F. Instationäre strömungsvorgänge bei uberschreiten der kritischen wärmezufuhr[J]. Z Flugwiss, 1963,11:160-168.
[16] DELALE C F, SCHNERR G H, ZIEREP J. The mathematical theory of thermal choking in nozzle flow[J]. Zeitschrift für Angewandte Mathematik und Physik, 1993,44:943-976.
[17] DELALE C F,VAN DONGEN M E H. Thermal choking in two-dimensional expansion flows[J]. Zeitschrift Fürangewandte Mathematik und Physik, 1998,49:515-537.
[18] SCHNERR G H. Unsteadiness in condensing flow:dynamics of internal flows with phase transition and application to turbomachinery[C]//Proc-IMechE Part C:J. Mechanical Engineering Science, 2005,219:1369-1410.
[19] DELALE C F, SCHNERR G H, VAN DONGEN M E H. Shock wave scienceand technology reference library[M]//Condensation discontinuities and condensation induced shockwaves. Berlin:Springer, 2007:188-230.
[20] VAN DONGEN M E H, LUO X, LAMANNA G, et al. On condensation induced shock waves[C]//Proceedings of the 10th Chin Symp Shock Waves, 2002:1-11.
[21] SHAPIRO A H. The dynamics and thermodynamics of compressible fluid flow[M]. 1st. The Ronald Press Company, 1953.
[22] WU Q S, WANG D Z, XU Y H, et al. Wave pattern characteristics of a two-phase nozzle flow by shock propagation[J]. Shock Waves, 1997,7:127-133.
[23] LUO X, WANG G, OLIVIER H. Parametric investigation of particle acceleration in high enthalpy conical nozzle flows for coating applications[J]. Shock Waves, 2008, 17(5):351-362.
[24] SUN M, TAKAYAMA K. Conservative smoothing on an adptive quadrilateral grid[J]. J Comput Phys, 1999, 150:143-180.