A nonlinear atomization model based on a boundary layer instability mechanism

Physics of Fluids

Volumn 16, Issue 1, 2004, Pages 47-61

  Yoon, Sam S ^a   Heister, Stephen D ^a  

^a Purdue University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIZATION; BOUNDARY LAYERS; COMPUTER SIMULATION; MATHEMATICAL MODELS;

LINEAR ANALYSIS;

JETS;

ATOMIZATION; BOUNDARY LAYER; FLUID DYNAMICS; INSTABILITY; JET; VORTEX RING;

EID: 0942267334     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1629301     Document Type: Article

References (53)

1. K. J. DeJuhasz, "Dispersion of sprays in solid injection oil engines," Trans. ASME 53, 65 (1931).
2. W. Bergwerk, "Flow patterns in diesel nozzle spray holes," Proc. Inst. Mech. Eng. 173, 655 (1959).
3. J. W. Hoyt and J. J. Taylor, "Waves on water jets," J. Fluid Mech. 83, 119 (1977).
4. H. Schlichting, Boundary Layer Theory (McGraw-Hill, New York, 1979), pp. 461-463.
5. R. L. Panton, Incompressible Flow, 2nd ed. (Wiley, New York, 1996), pp. 460-470, 718-727, 739-741.
6. J. H. Rupe, "On the dynamic characteristics of free liquid jets and a partial correlation with orifice geometry," NASA JPL Technical Report No. 32-207 (1962).
7. V. Y. Shkadov, "Wave formation on surface of viscous liquid due to tangential stress," Fluid Dyn. 5, 473 (1970).
8. J. M. Gordillo, M. Perez-Saborid, and A. M. Ganan-Calvo, "Linear stability of co-flowing liquid-gas jets," J. Fluid Mech. 448, 23 (2001).
9. R. D. Reitz and F. V. Bracco, "Mechanism of atomization of a liquid jet," Phys. Fluids 25, 1730 (1982).
10. P. K. Wu and G. M. Faeth, "Aerodynamic effects on primary breakup of turbulent liquids," Atomization Sprays 3, 265 (1993).
11. J. W. Hoyt and J. J. Taylor, "Turbulence structure in a water jet discharging in air," Phys. Fluids 20, S253 (1977).
12. C. Brennen, "Cavity surface wave patterns and general appearance," J. Fluid Mech. 44, 33 (1970).
13. S. S. Yoon and S. D. Heister, "Categorizing linear theories for atomizing round jets," Atomization Sprays (to be published).
14. A. J. Chorin, "Numerical study of slightly viscous flow," J. Fluid Mech. 57, 785 (1973).
15. A. J. Chorin and P. S. Bernard, "Discretization of a vortex sheet," J. Comput. Phys. 13, 423 (1973).
16. A. J. Chorin, "Vortex sheet approximation of boundary layers," J. Comput. Phys. 27, 428 (1978).
17. P. G. Saffman, Vortex Dynamics (Cambridge University Press, New York, 1992), pp. 22, 192-195.
18. S. S. Yoon and S. D. Heister, "A fully nonlinear model for atomization of high-speed jets," Eng. Anal. Boundary Elements (to be published).
19. A. M. Sterling and C. A. Sleicher, "The instability of capillary jets," J. Fluid Mech. 68, 477 (1975).
20. J. A. Liggett and P. L.-F. Liu, The Boundary Integral Equation Method for Porous Media Flow (George Allen and Unwin, New York, 1983).
21. S. D. Heister, "Boundary element methods for two-fluid free surface flows," Eng. Anal. Boundary Elem. 19, 309 (1997).
22. I. F. Murray and S. D. Heister, "On a droplet's response to acoustic excitation," Int. J. Multiphase Flow 25, 531 (1999).
23. S. S. Yoon, S. D. Heister, J. T. Epperson, and P. E. Sojka, "Modeling multijet mode electrostatic atomization using boundary element methods," J. Electrost. 50, 91 (2001).
24. W. J. Duncan, A. S. Thom, and A. D. Young, An Elementary Treatise on the Mechanics of Fluids (Edward Arnold, London, 1960), pp. 93-94.
25. A. S. Ramsey, A Treatise on Hydromechanics, (Bell and Sons, London, 1920), pp. 241-244.
26. K. Karamcheti, Principles of Ideal-Fluid Aerodynamics (Wiley, New York, 1966), pp. 526-530, 599.
27. I. G. Currie, Fundamental Mechanics of Fluids, 2nd ed. (McGraw-Hill, New York, 1993), pp. 172-174.
28. J. H. Hilbing, "Nonlinear modeling of atomization processes," Ph.D. thesis, Purdue University (1996).
29. E. Kreyszig, Advanced Engineering Mathematics (Wiley, New York, 1993), pp. 949-956.
30. M. S. Longuet-Higgins and E. D. Cokelet, "The deformation of steep surface waves on water," Proc. R. Soc. London, Ser. A 350, 1 (1976).
31. F. M. White, Viscous Fluid Flow, 2nd ed. (McGraw-Hill, New York, 1991), pp, 235, 269, 358.
32. B. Thwaites, Incompressible Aerodynamics (Dover, New York, 1960), pp. 30-31.
33. I. H. Shames, Engineering Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1993), pp. 306-308.
34. J. Ponstein, "Instability of rotating cylindrical jets," Appl. Sci. Res., Sect. A 8, 425 (1959).
35. W. S. Rayleigh, "On the instability of jets," Proc. London Math. Soc. 10, 71 (1878).
36. W. S. Rayleigh, "On the instability of cylindrical fluid surfaces," Philos. Mag. 34, 177 (1892).
37. V. G. Levich, Physicochemical Hydrodynamics (Prentice-Hall, Englewood Cliffs, NJ, 1962), pp. 639-646.
38. P. G. Saffman, "The number of waves on unstable vortex rings," J. Fluid Mech. 84, 625 (1978).
39. T. T. Lundgren and N. N. Mansour, "Vortex ring bubbles," J. Fluid Mech. 224, 177 (1991).
40. C. E. Pearson, Handbook of Applied Mathematics (Van Nostrand Reinhold, New York, 1974), pp. 349-350, 361.
41. P. K. Wu, L. K. Tseng, and G. M. Faeth, "Primary breakup in gas/liquid mixing layers for turbulent liquids," Atomization Sprays 2, 295 (1992).
42. S. S. Yoon, S. D. Heister, J. T. Epperson, and P E. Sojka, "Modeling multijet mode electrostatic atomization using boundary element methods," J. Electrost. 50, 91 (2001).
43. H. Tennekes and J. L. Lumley, A First Course in Turbulence (MIT Press, Cambridge, 1975), pp. 248-286.
44. J. O. Hinze, Turbulence, 2nd ed. (McGraw-Hill, New York, 1975), pp. 625-631, 427.
45. J. W. Hoyt and J. J. Taylor, "Effect of nozzle boundary layer on water jets discharging in air," in Jets and Cavities-International Symposium, ASME, Miami Beach, Florida, November 17-22, 1985, pp. 93-100.
46. K. J. Wu, R. D. Reitz, and F. V. Bracco, "Measurements of drop size at the spray edge new the nozzle in atomizing liquid jets," Phys. Fluids 29, 941 (1986).
47. P. K. Wu, R. F. Miranda, and G. M. Faeth, "Effects of initial flow conditions on primary breakup of nonturbulent and turbulent liquid jets," in 32th Aerospace Sciences Meeting and Exhibit, AIAA 94-0561 Reno, NV, 1994.
48. H. Hiroyasu, M. Shimizu, and M. Arai, "The breakup of high speed jet in a high pressure gaseous atmosphere," in Proceedings of the 2nd International Conference on Liquid Atomization and Spray Systems, ICLASS, Madison, Wisconsin, 1982, pp. 69-74.
49. M. Arai, M. Shimizu, and H. Hiroyasu, "Breakup length and spray angle of high speed jet," in Proceedings of the 3rd International Conference on Liquid Atomization and Spray Systems, ICLASS, London, United Kingdom, 1985, pp. IB/4/1-10.
50. M. J. McCarthy and N. A. Molloy, "Review of stability of liquid jets and the influence of nozzle design," Chem. Eng. J. 7, 1 (1974).
51. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, New York, 1967), pp. 511-517, 521-526.
52. H. Lamb, Hydrodynamics (Dover, New York, 1879), pp. 236-239.
53. J. Robertson, Hydrodynamics in Theory and Application (Prentice-Hall, Englewood Cliffs, NJ, 1965), pp. 128-132.