Direct Numerical Simulation of Head-on Binary Collision of Aluminum Oxide Droplets

XIA Sheng-yong; HU Chun-bo

doi:10.3879/j.issn.1000-0887.2014.04.004

Volume 35 Issue 4

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2014 > 35(4): 377-388

XIA Sheng-yong, HU Chun-bo. Direct Numerical Simulation of Head-on Binary Collision of Aluminum Oxide Droplets[J]. Applied Mathematics and Mechanics, 2014, 35(4): 377-388. doi: 10.3879/j.issn.1000-0887.2014.04.004

Citation:

PDF( 3789 KB)

Direct Numerical Simulation of Head-on Binary Collision of Aluminum Oxide Droplets

doi: 10.3879/j.issn.1000-0887.2014.04.004

XIA Sheng-yong^1,2,
HU Chun-bo¹

¹Science and Technology on Combustion, Internal Flow and Thermal-Structure Laboratory, Northwestern Polytechnical University, Xi’an 710072,P.R.China;²Department of Engineering, University of Cambridge, Trumpington Street,Cambridge CB2 1PZ, UK

Funds: The National Natural Science Foundation of China（50976095）

Received Date: 2013-12-06
Rev Recd Date: 2014-01-18
Publish Date: 2014-04-15

Abstract

Abstract

Direct numerical simulations of head-on binary collisions between equal-sized aluminum oxide droplets were conducted to investigate the collision physics and mechanics of aluminum oxide droplets in solid rocket motors. Trial simulations of head-on collisions of tetradecane droplets in nitrogen medium were performed firstly to give results in good agreement with those of the previous experiments. After the positive validation of the numerical method, the head-on binary collisions of equal-sized aluminum oxide droplets were numerically computed with various Weber numbers under 6 MPa ambient pressure and 3 387 K ambient temperature. The Weber number ranged from 10 to 200, and the Ohnesorge number kept at 0.036 4, which covered three different types of outcomes: bouncing, coalescence and reflexive separation. The results show that the critical Weber number between bouncing and coalescence after substantial deformation is 26, and the one between coalescence after substantial deformation and reflexive separation is 44. The collision model for aluminum oxide droplets can be obtained through modification of the collision model for other fluid droplets with critical Weber numbers.
- solid rocket motor,
- aluminum oxide,
- droplet collision,
- DNS,
- adaptive mesh method,
- VOF

FullText(HTML)

References(20)

References

[1]	赵志博, 刘佩进, 张少悦, 甘晓松. NEPE高能推进剂凝相燃烧产物的特性分析[J]. 推进技术, 2010,31(1): 69-73.（ZHAO Zhi-bo, LIU Pei-jin, ZHANG Shao-yue, GAN Xiao-song. Combustion peculiarity of condensed-products of NEPE propellant [J].Journal of Propulsion Technology,2010,31(1): 69-73.（in Chinese））
[2]	Paradis P-F, Ishikawa T. Surface tension and viscosity measurements of liquid and undercooled alumina by containerless techniques[J].Japanese Journal of Applied Physics,2005,44(7A): 5082-5085.
[3]	Laredo D, McCrorie II J D, Vaughn J K, Netzer D W. Motor and plume particle size measurements in solid propellant micromotors[J].Journal of Propulsion and Power,1994,10(3): 410-418.
[4]	Jeenu R, Pinumalla K, Deepak D. Size distribution of particles in combustion products of aluminized composite propellant[J].Journal of Propulsion and Power,2010,26(4): 715-723.
[5]	XIA Sheng-yong, HU Chun-bo. Experimental study of collision of liquid Al₂O₃/Al droplets[J].Journal of Propulsion and Power,2013,29(1): 95-103.
[6]	Averin V S, Arkhipov V A, Vasenin I M, Dyachenko N N, Trofimov V F. Effect of a sudden change in cross-sectional area of the solid rocket motor duct on coagulation of condensed particles[J].Combustion, Explosion, and Shock Waves,2003,39(3): 316-322.
[7]	李强, 李江, 刘佩进, 何国强. 模型发动机内凝相颗粒碰撞的数值模拟[J]. 推进技术, 2008,29(1): 18-21.（LI Qiang, LI Jiang, LIU Pei-jin, HE Guo-qiang. Numerical simulation of particle collision and impingement for a model SRM[J].Journal of Propulsion Technology,2008,29(1): 18-21.（in Chinese））
[8]	Najjar F M, Ferry J P, Haselbacher A, Balachandar S. Simulations of solid-propellant rockets: effects of aluminum droplet size distribution[J].Journal of Spacecraft and Rockets,2006,43(6): 1258-1270.
[9]	Salita M. Use of water and mercury droplets to simulate Al2O3 collision /coalescence in rocket motors[J].Journal of Propulsion and Power,1991,7(4): 505-512.
[10]	Sabnis J S. Numerical simulation of distributed combustion in solid rocket motors with metalized propellant[J].Journal of Propulsion and Power,2003,19(1): 48-55.
[11]	Popinet S. Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries[J].Journal of Computational Physics,2003,190(2): 572-600.
[12]	Popinet S. An accurate adaptive solver for surface-tension-driven interfacial flows[J].Journal of Computational Physics,2009,228(16): 5838-5866.
[13]	Qian J, Law C K. Regimes of coalescence and separation in droplet collision[J].Journal of Fluid Mechanics,1997,331: 59-80.
[14]	Ashgriz N, Poo J Y. Coalescence and separation in binary collisions of liquid drops[J].Journal of Fluid Mechanics,1990,221: 183-204.
[15]	PAN Yu, Suga K. Numerical simulation of binary liquid droplet collision[J].Physics of Fluids,2005,17(8): 082105.
[16]	ZHANG Peng, Law C K. An analysis of head-on droplet collision with large deformation in gaseous medium[J].Physics of Fluids,2011,23(4): 042102.
[17]	Glorieux B, Millot F, Rifflet J-C, Coutures J-P. Density of superheated and undercooled liquid alumina by a contactless method[J].International Journal of Thermophysics,1999,20(4): 1085-1094.
[18]	Glorieux B, Millot F, Rifflet J-C. Surface tension of liquid alumina from contactless techniques[J].International Journal of Thermophysics,2002,23(5): 1249-1257.
[19]	Gotaas C, Havelka P, Jakobsen H A, Svendsen H F, Hase M, Roth N, Weigand B. Effect of viscosity on droplet-droplet collision outcome: experimental study and numerical comparison[J].Physics of Fluids,2007,19(10): 102106.
[20]	Munnannur A, Reitz R D. A new predictive model for fragmenting and non-fragmenting binary droplet collisions[J].International Journal of Multiphase Flow,2007,33(8): 873-896.