Discrete bubble modeling of unsteady cavitating flow

International Journal for Multiscale Computational Engineering

Volumn 4, Issue 5-6, 2006, Pages 601-616

  Xu, Zhiliang ^a   Kim, Myoungnyoun ^a   Lu, Tianshi ^a   Oh, Wonho ^b   Glimm, James ^a,b   Samulyak, Roman ^a   Li, Xiaolin ^b   Tzanos, Constantine ^c  

^a BROOKHAVEN NATIONAL LABORATORY   (United States)

^b Stony Brook University   (United States)

^c ARGONNE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HIGH SPEED JET; SPRAY FORMATION; SPRAY VOLUME FRACTION;

ATOMIZATION; BUBBLES (IN FLUIDS); CAVITATION; DISCRETE TIME CONTROL SYSTEMS; MATHEMATICAL MODELS; NUMERICAL METHODS; PHASE BOUNDARIES; PHASE TRANSITIONS; VAPORS;

UNSTEADY FLOW;

EID: 33845786263     PISSN: 15431649     EISSN: None     Source Type: Journal    
DOI: 10.1615/IntJMultCompEng.v4.i5-6.40     Document Type: Article

References (44)

1. Reitz, R. D., and Bracco, F. V., Mechanism of atomization of a liquid jet, Phys. Fluids. 25:1730-1742, 1982.
2. Reitz, R. D., and Bracco, F. V., Mechanisms of breakup of round liquid jets, The Encyclopedia of Fluid Mechanics. Gulf Pub. lishing, Houston, Texas, 1986.
3. Lin, S. P., and Reitz, R. D., Drop and spray formation from a liquid jet, Annu. Rev. Fluid Mech. 30:85-105, 1998.
4. Bergwerk, W., Flow pattern in diesel nozzle spray holes, Proc. Inst. Mech. Eng. 173(25):655-660, 1959.
5. Chaves, H., Knapp, M., Kubitzek, A., and Obermeier, F., Experimental study of cavitation in the nozzle hole of diesel injectors using transparent nozzles. SAE Paper No. 950290:199-211, 1995.
6. Samulyak, R., Lu, T., Prykarpatskyy, Y., Glimm, J., Xu, Z., and Kim, M. N., Comparison of heterogeneous and homogeneous numerical approaches to cavitation modeling, Int. J. Multiscale Comp. Eng. (in press).
7. Schmidt, D. P., Rutland, C. J., Corradini, M. L., Roosen, P., and Genge, O., Cavitation in two-dimensional asymmetric nozzles, SAE International Congress, SAE Paper No. 1999-01-0518, 1999.
8. Ventikos, Y., and Tzabiras, G., A numerical method for the simulation of steady and unsteady cavitating flows, Comput. Fluids. 29:63-88, 2000.
9. Schmidt, D. P., and Rutland, C. J., and Corradini, M. L., A fully compressible, two-dimensional, model of small, high speed, cavitating nozzles, Atomization Spray. 9(3):255-276, 1999.
10. Bukiet, B., Gardner, C. L., Glimm, J., Grove, J. W., Jones, J., McBryan, O., Menikoff, R., and Sharp, D. H., Applications of front tracking to combustion, surface instabilities and two-dimensional Riemann problems. In Transactions of the Third Army Conference on Applied Mathematics and Computing, ARO Report No. 86-1, 223-243, 1986.
11. Glimm, J., Graham, M. J., Grove, J. W., Li, X.-L., Smith, T. M., Tan, D., Tangerman, F., and Zhang, Q., Front tracking in two and three dimensions, Comput. Math. Appl. 35(7):1-11, 1998.
12. Glimm, J., Grove, J. W., Li, X.-L., Shyue, K.-M., Zhang, Q., and Zeng, Y., Three dimensional front tracking, SIAM J. Sci. Comp. 19:703-727, 1998.
13. Glimm, J., Grove, J. W., Li, X.-L., and Tan, D. C., Robust computational algorithms for dynamic interface tracking in three dimensions, SIAM J. Sci. Comput. 21:2240-2256, 2000.
14. Welch, W. J., Local simulation of two-phase flows including interface tracking with mass transfer, J. Comp. Phys. 12:142-154, 1995.
15. Juric, D., and Tryggvason, G., Computations of boiling flows, Int. J. Multiphase Flow. 24(3):387-410, 1998.
16. Matsumoto, Y., and Takemura, F., Influence of internal phenomena on gas bubble motion, JSME Int. J. 637:288-296, 1994.
17. MacPhee, A. G., Tate, M. W., and Powell, C. F., Yue, Y., Renzi, M. J., Ercan, A., Narayanan, S., Fontes, E., Walther, J., Schaller, J., Gruner, S. M., and Wang, J., X-ray imaging of shock waves generated by high pressure fuel sprays, Science. 295:1261-1263, 2002.
18. Powell, C. F., Yue, Y., Gupta, S., McPherson, A., Poola, R., and Wang, J., Development of a quantitative measurement of a diesel spray core using synchrotron X-rays, Eighth International Conference on Liquid Atomization and Spray Systems, Pasadena, CA, 2000.
19. Powell, C. F., Yue, Y., Poola, R., and Wang, J., Time resolved measurements of supersonic fuel sprays using synchrotron x-rays, J. Synchrotron Rad. 7:356-360, 2000.
20. Powell, C. F., Yue, Y., Poola, R., Wang, J., Lai, M., and Schaller, J., Quantitative X-ray measurements of a diesel spray core. In Proc. 14th Annual Conference on Liquid Atomization and Spray Systems (ILASS), Dearborn, MI, 2001.
21. Starling, K. E., Fluid Thermodynamic Properties for Light Petroleum Systems, Gulf Pub. lishing, Houston, 1973.
22. Poinsot, T. J., and Lele, S. K., Boundary conditions for direct simulations of compressible viscous flows, J. Comput. Phys. 101:104-129, 1992.
23. Colella, P., A direct Eulerian MUSCL scheme for gas dynamics, SIAM J. Comput. 6(1):104-117, 1985.
24. Berger, M., and Colella, P., Local adaptive mesh refinement for shock hydrodynamics, J. Comput. Phys. 82:64-84, 1989.
25. Glimm, J., Li, X.-L., and Xu, Z.-L., Front tracking algorithm using adaptively refined meshes. In Proceedings of Chicago Workshop on Adaptive Mesh Refinement Theory and Applications, Sept. 3-5, 2003, Springer, Lecture Notes in Computational Science and Engineering, Vol. 41, Plea, Tomasz; Lined, Timor; Weirs, V., Gregory (eds.), 2005.
26. Schlichting, H., Boundary Layer Theory, Mcgraw-Hill, New York, 1960.
27. Kirsten, H., Experimentelle Untersuchungen der Entwicklung der Geschwindigkeitsverteilung der turbulenten Rohrstromung, Ph.D. thesis, Leipzig, 1927.
28. Szablewski, W., Der einlauf einer tubulenten rohrstromung, Ing. Arch. 21:323-330, 1953.
29. Wallis, G., One-Dimensional Two-Phase Flow, McGraw-Hill, New York, 1969.
30. Samulyak, R., and Prykarpatskyy, Y., Richtmyer-Meshkov instability in liquid metal flows: Influence of cavitation and magnetic fields, Math. Comput. Simul. 65:431-446, 2004.
31. Glimm, J., Li, X. L., Oh, W., Marchese, A., Kim, M.-N., Samulyak, R., and Tzanos, C., Jet breakup and spray formation in a diesel engine. In Proceedings of 2nd MIT Conference on Computational Fluid and Solid Mechanics. Cambridge, MA, SUNY Stony Brook Preprint No. susb-ams02-20, 2003.
32. Miles, J. W., On the disturbed motion of a plane vortex sheet. J. Fluid Mech. 4:538-552, 1958.
33. Foglizzo, T., and Ruffert, M., An analytic study of bondi-hoyle-lyttleton accretion, Astron. Astrophys. 347:901-914, 1999.
34. Brennen, C. E., Cavitation and Bubble Dynamics, Oxford University Press, New York, 1995.
35. Landau, L., and Lifshitz, E., Statistical Physics, Pregamon Press, Oxford, 1980.
36. Balibar, S., and Caupin, F., Metastable liquids, J. Phys. Condensed Matter. 15:s75-s82, 2003.
37. Samulyak, R., Lu, T., Prykarpatskyy, Y., Glimm, J., Xu, Z., and Kim, M. N., Comparison of direct and homogeneous numerical approaches to cavitation modeling, Accepted Int. J. Multiscale Comput. Eng. 4:377-389, 2006.
38. Alty, T., and Mackay, C. A., The accommodation coefficient and the evaporation coefficient of water, Proc. R. Soc. London, Ser. A, 149:104-116, 1935.
39. Lu, T., and Xu, Z. L., and Samulyak, R., and Glimm, J., and Ji, X. M., Dynamic Phase Boundaries for Compressible Fluids Siam J. on Scientific Computing, Submitted. Stony Brook preprint No. sunysb-ams-06-07, 2006. (in print)
40. Hagen, D. E., Schmitt, J., Trueblood, M., and Carstens, J., White, D. R., and Alofs, D. J., Condensation coefficient measurement for water in the umr cloud simulation chamber, J. Atmos. Sci. 46:803-816, 1989.
41. Carey, V. P., Liquid-Vapor Phase-Change Phenomena. Hemisphere Publishing Corporation, New York, NY, 1992.
42. Caginalp, G., and Socolovsky, E. A., Computation of Sharp Phase Boundaries by Spreading: The Planar and Spherically Symmetric Cases, J. Comput. Phys. 95:85-100, 1991.
43. Kim, Y.-T., Provatas, N., Goldenfeld, N., and Dantzig, J., Universal dynamics of phase-field models for dendritic growth, Phys. Review E. 59(3):R2546-R2549, 1999.
44. Huang, A., and Joseph, D. D., Instability of the equilibrium of a liquid below its vapor between horizontal heated plates, J. Fluid Mech. 242:235-247, 1992.