Welcome to visit Advances in New and Renewable Energy!

Theoretical Investigation Evolvement of Surface Waves in Liquid Jet Sprays

  • CAO Jian-ming
Expand
  • Automobile Faculty, Chang’an University, Xi’an 710064, China

Received date: 2014-04-18

  Revised date: 2014-06-16

  Online published: 2014-06-30

Abstract

In the past twenty years, spray science and technology has been made great progress and its application field has been enlarged gradually. Nowadays, spray has already become an international research field. The development mainly involves the evolvement of mathematical model, the promotion of numerical calculation and analysis, and the improvement and development of optical techniques for the droplet size measurement. The importance of spray is increasing gradually. An investigation evolvement is presented for the typical fluid model, such as liquid jet, planar liquid sheet and annular liquid sheet, breakup processes by using linear and nonlinear stability theories.

Cite this article

CAO Jian-ming . Theoretical Investigation Evolvement of Surface Waves in Liquid Jet Sprays[J]. Advances in New and Renewable Energy, 2014 , 2(3) : 165 -172 . DOI: 10.3969/j.issn.2095-560X.2014.03.001

References

[1] Haenlein A. Disintegration of a liquid jet[J]. NACA, 1932, TN 659.

[2] Muller D E. A method for solving algebraic equations using an automatic computer[J]. Math Tables and Other Aid to Comput, 1956, 10: 208-215.

[3] 曹建明. 液体喷雾学[M]. 北京: 北京大学出版社, 2013.

[4] 周光坰, 严宗毅, 许世雄, 等. 流体力学[M]. 北京: 高等教育出版社, 2000.

[5] 曹建明. 国家自然科学基金结题报告[R]. 2009, 50676012.

[6] Rayleigh, L. On the instability of jets[J]. Proc London Math Soc, 1878, 10: 4-13.

[7] Weber C. Disintegration of liquid jets[J]. Z Angew Math Mech, 1931, 11(2): 136-159.

[8] Ohnesorge W. Formation of drops by nozzles and the breakup of liquid jets[J]. Z Angew Math Mech, 1936, 16: 355-358.

[9] Keller J B, Rubinow S I, Tu Y O. Spatial instability of a jet[J]. Phys Fluids, 1973, 16: 2052-2055.

[10] Sterling A M, Sleicher. The instability of capillary jets[J]. Fluid Mech, 1975, 68: 477-495.

[11] Reits R D, Bracco F V. Mechanism of atomization of a liquid jet[J]. Phys Fluids A, 1982, 25: 1730-1742.

[12] Lefebvre A H. Atomization and Sprays[M]. Hemisphere Press, New York, 1989.

[13] Li X. Mechanism of atomization of a liquid jet[J]. Atomization and Sprays, 1995, 5: 89-105.

[14] Li X, Chen T. Liquid jet atomization in a compressible gas streams[J]. J of Propulsion and Power, 1999, 15(3): 369-376.

[15] 史绍熙, 郗大光. 液体射流的非轴对称破碎[J]. 燃烧科学与技术, 1996, 2(3): 1-8.

[16] 史绍熙, 郗大光, 刘宁, 等. 高速液体射流初始阶段的破碎[J]. 内燃机学报, 1996, 14(4): 349-354.

[17] 史绍熙, 郗大光, 秦建荣, 等. 高速粘性液体射流的不稳定模式[J]. 内燃机学报, 1997, 15(1): 1-7.

[18] 史绍熙, 林玉静, 杜青, 等. 射流参数对旋流雾化的影响[J]. 燃烧科学与技术, 1999, 5(1): 1-6.

[19] 史绍熙, 杜青, 秦建荣, 等. 液体圆射流破碎机理研究中的时间模式与空间模式[J]. 内燃机学报, 1999, 17(3): 205-210.

[20] Shi S. Unstable asymmetric modes of a liquid jet[J]. ASME J of Fluids Engineering, 1999, 121(2): 379-383.

[21] 杜青, 史绍熙, 刘宁, 等. 液体燃料圆射流最不稳定频率的理论分析(1)?液体燃料圆射流的最不稳定频率及无量纲数的影响[J]. 内燃机学报, 2000, 18(3): 283-287.

[22] 杜青, 史绍熙, 刘宁, 等. 液体燃料圆射流最不稳定频率的理论分析(2)?圆射流参数对最不稳定频率的影响及试验观察[J]. 内燃机学报, 2000, 18(3): 288-292.

[23] 杜青, 刘宁, 杨延相, 等. 受激液体燃料圆射流表面波规律初探[J]. 内燃机学报, 2001, 19(6): 511-516.

[24] Nayfeh A H. Nonlinear stability of a liquid jet[J]. Phys Fluids, 1970, 13(4): 841-847.

[25] Chaudhary K C, Redekopp L G. Nonlinear capillary instability of a liquid jet Em dash 1 Theory[J]. Journal of Fluid Mechanics, 1980, 96(2): 257-274.

[26] Chaudhary K C, Maxworthy T. Nonlinear capillary instability of a liquid jet Em dash 2 experiments on jet behavior before droplet formation[J]. Journal of Fluid Mechanics, 1980, 96(2): 275-286.

[27] Ibrahim E A, Lin S P. Weakly nonlinear instability of a liquid jet in a viscous gas[J]. American Society of Mechanical Engineers, 1991, 91-WA/APM-15: 1-6.

[28] Mashayek F, Shgriz N. Nonlinear instability of liquid jets with thermocapillarity[J]. Journal of Fluid Mechanics, 1995, 283(25): 97-123.

[29] Huynh H, Ashgriz N, Mashayek F. Instability of a liquid jet subject to disturbances composed of two wave numbers[J]. Journal of Fluid Mechanics, 1996, 320(10): 185-210.

[30] Park H, Yoon S S, Heister S D. On the nonlinear stability of a swirling liquid jet[J]. International Journal of Multiphase Flow, 2006, 32(9): 1100-1109.

[31] Ibrahim A A, Jog M A. Nonlinear breakup of a coaxial liquid jet in a swirling gas stream[J]. Physics of Fluids, 2006, 18(11): 1141-1501.

[32] Elcoot K E A. Nonlinear instability of charged liquid jets: Effect of interfacial charge relaxation[J]. Physica A: Statistical Mechanics and its Applications, 2007, 375(2): 411-428.

[33] Squire H B. Investigation of the instability of a moving liquid film[J]. British J of Applied Physics, 1953, 4: 167-169.

[34] Hagerty W W, Shea J F. A study of the stability of plane fluid sheets[J]. J of Applied Physics, 1955, 22: 509-514.

[35] Lin S P, Lian Z W. Absolute and convective instability of a liquid sheet[J]. J of Fluid Mechanics, 1990, 220: 673-689.

[36] Mansour A, Chigier N A. Disintegration of liquid sheets[J]. Physics of Fluids A, 1990, 2: 706-719.

[37] Hashimoto H, Suzuki T. Experimental and theoretical study of fine interfacial waves on thin liquid sheet[J]. JSME International Journal, Series II, 1991, 34: 277-283.

[38] Li X, Tankin R S. On the temporal instability of a two-dimensional viscous liquid sheet[J]. J of Fluid Mechanics, 1991, 226: 425-443.

[39] Li X. Spatial instability of plane liquid sheets[J]. Chemical Engineering Sci, 1993, 48: 2973-2981.

[40] Li X. On the Instability of plane liquid sheets in two gas streams of unequal velocities[J]. Acta Mechanica, 1994, 106: 137-156.

[41] Cao J M. Derivation on the Linear Stability theory of plane liquid sheets spray in two compressible gas streams[J]. 燃烧科学与技术, 1999, 5(4): 349-355.

[42] Cao J M, Li X. Liquid sheet breakup in compressible gas streams[C]//Proc of the ASME Energy Sources Technology Conference, 1999, 1-6.

[43] Cao J M, Li X. Stability of plane liquid sheets in compressible gas streams[C]//Proc of 2nd JSME International Symposium on Advanced Energy Conversion Systems and Related Technologies, 1998, 24-25. AIAA J. of Propulsion and Power, 2000, 16(4): 623-627.

[44] 丁宁, 杜青, 郗大光, 等. 加热条件下液膜射流破碎尺度影响因素研究[J]. 内燃机学报, 2003, 21(1): 53-56.

[45] 杜青, 丁宁, 郗大光, 等. 射流参数对加热条件下液膜射流破碎不稳定性的影响(1)?射流参数对液膜反对称模式破碎的影响[J]. 内燃机学报, 2003, 21(2): 145-149.

[46] 杜青, 丁宁, 郗大光, 等. 射流参数对加热条件下液膜射流破碎不稳定性的影响(2)?射流参数对液膜对称模式破碎的影响[J]. 内燃机学报, 2003, 21(2): 150-154.

[47] Clarck C J, Dombrewski N. Aerodynamic instability and disintegration of inviscid liquid sheets[C]//Proc R Soc Lond A, 1972, 329: 467-478.

[48] Jazayeri S A. Nonlinear analysis and experimental investigation of liquid sheet breakup[D]. PhD thesis, University of Victoria, Canada, 1997.

[49] Jazayeri S A, Li X. Nonlinear instability of plane liquid sheets[J]. J Fluid Mech, 2000, 406: 281-308.

[50] Rangel R H, Sirignano W A. Nonlinear growth of Kelvin-Helmholtz instability: effect of surface view tension and density ratio[J]. Phys. Fluids. 1988, 31: 1845-1855.

[51] Rangel R H, Hess C. Nonlinear special instability of a fluid sheet[J]. AIAA J of Propulsion and Power, 1990, 90-0118.

[52] Lozano A, Olivares A G, Dopazo C. The instability growth leading to a liquid sheet breakup[J]. Phys Fluids, 1998, 10: 2188-2197.

[53] Tharakan T J, Ramamurthi K, Balakrishnan M. Nonlinear breakup of thin liquid sheets[J], Acta Mech. 2002, 156: 29-46.

[54] Cao J M. Theoretical and experimental study of atomization from an annular liquid sheet[J]. J of Automobile Engineering, 2003, 217(D8): 735-743.

[55] Fraser R P, Dombrowski N, Routley J H. The Atomization of a liquid sheet by an impinging air stream[J]. Chem Eng Sci, 1963, 18: 339-353.

[56] Ooms G. Hydrodynamic stability of core-annular flow of two ideal liquids[J]. Journal of Polymer Science, Macromolecular Reviews, 1972, 26(1-2): 147-158.

[57] Dijkstra H A, Steen P H. Thermocapillary stabilization of the capillary breakup of an annular film of liquid[J]. Journal of Fluid Mechanics, 1991, 229(8): 205-228.

[58] Carron I, Best F R. Gas-liquid annular flow under microgravity conditions: a temporal linear stability study[J]. International Journal of Multiphase Flow, 1994, 20(6): 1085-1093.

[59] Takamatsu H, Fuji M, Honda H, et al. Stability of annular liquid film in microgravity[J]. Microgravity Science and Technology, 1999, 12(1): 2-8.

[60] Hashimoto H, Kawano S, Togari H. Basic breakup mechanism of annular liquid sheet jet in cocurrent gas stream[J]. Transactions of the Japan Society of Mechanical Engineers, Part B, 1996, 62(2): 549-555.

[61] Radwan A E, Elazab S S, Hydia W M. Magnetohydro- dynamics stability of a streaming annular cylindrical liquid surface[J]. Physica Scripta, 1997, 56(2): 193-199.

[62] Alleborn N, Raszillier H, Durst F. Linear stability of non-Newtonian annular liquid sheets[J]. Acta Mechanica, 1999, 137(1-2): 33-42.

[63] Jeandel X, Dumouchel C. Influence of the viscosity on the linear stability of an annular liquid sheet[J]. International Journal of Heat and Fluid Flow, 1999, 20(5): 499-506.

[64] 刘联胜, 杨华, 吴晋湘, 等. 环状出口气泡雾化喷嘴液膜破碎过程与喷雾特性[J]. 燃烧科学与技术, 2005, 11(2): 121-125.

[65] 严春吉, 解茂昭. 空心圆柱形液体射流分裂与雾化机理的研究[J]. 水动力学研究与进展, 2001, 16(2): 200-208.

[66] 严春吉. 可压缩气体中的三维黏性液体射流雾化机 理[J]. 内燃机学报, 2007, 25(4): 346-351.

[67] 严春吉, 解茂昭. 可压缩气体中的三维粘性液体空心柱射流稳定性分析[J]. 上海交通大学学报, 2008, 42(1): 128-132.

[68] Shen J, Li X. Breakup of annular viscous liquid jets in two gas streams[J]. AIAA Journal of Propulsion and Power, 1996, 12(4): 752-759.

[69] Li X, Shen J. Experimental study of sprays from annular liquid jet breakup[J]. AIAA Journal of Propulsion and Power, 1999, 15(1): 103-111.

[70] Li X, Shen J. Experiments on annular liquid jet breakup[J]. Atomization and Sprays, 2001, 11(5): 557-573.

[71] 杜青, 郭津, 孟艳玲, 等. 旋转气体介质对环膜液体射流破碎不稳定性影响的研究[J]. 内燃机学报, 2007, 25(3): 217-222.

[72] 杜青, 李献国, 刘宁, 等. 气体旋转运动对类反对称模式下环膜液体射流破碎尺度的影响[J]. 天津大学学报, 2008, 41(5): 569-575.

[73] Lin K J. Nonlinear behavior of thin viscoelastic axisymmetric annular curtains[J]. Physical Science and Engineering Part A, 1995, 19(6): 493-505.

[74] Lin C K, Hwang C C, Ke T C. Three-dimensional nonlinear rupture theory of thin liquid films on a cylinder[J]. Journal of Colloid and Interface Science, 2002, 256(2): 480-482.

[75] Mehring C, Sirignano W A. Axisymmetric capillary waves on thin annular liquid sheets. I. Temporal stability[J]. Physics of Fluids, 2000, 12(6): 1417-1439.

[76] Ibrahim A A, Jog M A. Weakly nonlinear instability of an annular liquid sheet subjected to unequal inner and outer gas streams[C]//ASME International Mechanical Engineering Congress and Exposition, Orlando, 2005, 251-257.

[77] Ibrahim A A, Jog M A. Breakup model for annular liquid sheets[C]//ASME International Mechanical Engineering Congress and Exposition, Chicago, 2006, 1-6.

[78] Ibrahim A A, Jog M A. Nonlinear instability of an annular liquid sheet exposed to gas flow[J]. International Journal of Multiphase Flow, 2008, 34(7): 647-664.

Outlines

/