Computation of spray dynamics by moment transport equations I: Theory and development

Atomization and Sprays

Volumn 13, Issue 1, 2003, Pages 63-87

  Archambault, Mark R ^a   Edwards, Chris F ^b   MacCormack, Robert W ^c  

^a AIR FORCE RESEARCH LABORATORY   (United States)

^b Stanford University   (United States)

^c Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIZATION; COMPUTATIONAL METHODS; COST EFFECTIVENESS; ENTROPY; LIQUID FUELS; MONTE CARLO METHODS; NAVIER STOKES EQUATIONS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES;

MAXIMUM ENTROPY FORMALISM (MEF);

SPRAYING;

EID: 0037237523     PISSN: 10445110     EISSN: None     Source Type: Journal    
DOI: 10.1615/atomizspr.v13.i1.40     Document Type: Article

References (30)

1. J. K. Dukowicz, A Particle-Fluid Numerical Model for Liquid Sprays, J. Comput. Phys., vol. 35, pp. 229-253, 1980.
2. A. D. Gosman and E. Ioannides, Aspects of Computer Simulation of Liquid Fueled Combustors, J. Energy, vol. 7, pp. 482-490, 1983.
3. A. A. Amsden, P. J. O'Rourke, and T. D. Bulter, KIVA-II: A Computer Program for Chemically Reactive Flows with Sprays, Los Alamos Natl. Lab. Rep. LA-11560-MS, Los Alamos, NM, 1989.
4. A. Berlemont, P. Desjonqueres, and G. Gouesbet, Particle Lagrangian Simulation in Turbulent Flows, J. Multiphase Flow, vol. 16, pp. 19-34, 1990.
5. F. A. Williams, Spray Combustion and Atomization, Phys. Fluids, vol. 1, pp. 541-545, 1958.
6. 6. F. V. Bracco, H. C. Gupta, L. Krishnamurthy, D. A. Santavicca, R. L. Steinberger, and V. Warshaw, Two-Phase, Two-Dimensional, Unsteady Combustion in Internal Combustion Engines; Preliminary Theoretical-Experimental Results, SAE Paper 760114, 1976.
7. C. K. Westbrook, C. K., Three Dimensional Numerical Modeling of Liquid Fuel Sprays, Sixteenth Int. Symp. on Combustion, Cambridge, UK, 1976.
8. H. C. Gupta and F. V. Bracco, Numerical Computations of Two-Dimensional Unsteady Sprays for Application to Engines, AIAA J., vol. 16, pp. 1053-1061, 1978.
9. L. C. Haselman and C. K. Westbrook, A Theoretical Model for Two-Phase Fuel Injection in Stratified Charge Engines, SAE Paper 780318, 1978.
10. W. A. Sirignano, The Formulation of Spray Combustion Models: Resolution Compared to Droplet Spacing, J. Heat Transfer, vol. 108, pp. 633-639, 1986.
11. Y. Tambour, A Sectional Model for Evaporation and Combustion of Sprays of Liquid Fuels, Isr. J. Technol., vol. 18, pp. 47-56, 1980.
12. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids, Wiley, New York, NY, 1954.
13. F. A. Williams, Combustion Theory, 2nd ed., Benjamin/Cummings, Menlo Park, CA, 1985.
14. P. J. O'Rourke, Collective Drop Effects on Vaporizing Liquid Sprays, Ph.D. thesis, Princeton University, Princeton, NJ, 1981.
15. M. R. Archambault, A Maximum Entropy Moment Closure Approach to Modeling the Evolution of Spray Flows, Ph.D. thesis, Stanford University, Stanford, CA, 1999.
16. R. P. Probert, The Influence of Spray Particle Size and Distribution in the Combustion of Oil Droplets, Phil Mag., vol. 37, pp. 94-105, 1946.
17. J. R. Travis, F. H. Harlow, and A. A. Amsden, Numerical Calculation of Two-Phase Flows, Nuclear Sci. Eng., vol. 61, pp. 1-10, 1976.
18. J. F. Groeneweg, The Statistical Description of a Spray in Terms of Drop Velocity, Size, and Position, Ph.D. thesis, University of Wisconsin, Madison, WI, 1967.
19. C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Sciences, Springer-Verlag, New York, 1985.
20. D. L. Snyder and M. I. Miller, Random Point Processes in Time and Space, Springer-Verlag, New York, 1991.
21. C. F. Edwards and K. D. Marx, Single Point Statistics of Ideal Sprays, Part I: Fundamental Descriptions and Derived Quantities, Atomization and Sprays, vol. 6, pp. 499-536, 1996.
22. C. E. Shannon, A Mathematical Theory of Communications, Bell Syst. Tech. J., vol. 27, pp. 379-623, 1948.
23. E. T. Jaynes, E. T., Information Theory and Statistical Mechanics, Phys. Rev., vol. 106, pp. 620-630, 1957.
24. J. N. Kapur and H. K. Kesavan, Entropy Optimization Principles with Applications, Academic Press, San Diego, CA, 1992.
25. Y. Alhassid, N. Agmon, and R. D. Levine, An Upper Bound for the Entropy and Its Application to the Maximal Entropy Problem, Chem. Phys. Lett., vol. 53, pp. 22-26, 1978.
26. J. Cousin and C. Dumouchel, Theoretical Determination of Spray Drop Size Distributions, Part 1: Description of the Procedure, Proc. ICLASS-'97, Seoul, Korea, 1997.
27. R. W. Sellens, A Prediction of the Droplet Size and Velocity Distribution in a Spray from First Principles, Ph.D. thesis, University of Waterloo, Waterloo, Ont., 1985.
28. 28. C. F. Edwards, Development of a Simplified Theory of Coupled Spray/Continuum Flows, ILASS-Americas, 11th Annual Conf. on Liquid Atomization and Spray Systems, Sacramento, CA, May 1998.
29. R. W. Sellens, R. W., Prediction of the Drop Size and Velocity Distribution in a Spray, Based on the Maximum Entropy Formalism, Part. Part. Syst. Charact., vol. 6, pp. 17-27, 1989.
30. L. P. Chin, P. C. Hsing, R. S. Tankin, and T. Jackson, Comparisons between Experiments and Predictions Based on Maximum Entropy for the Breakup of a Cylindrical Liquid Jet, Atomization and Sprays, vol. 5, pp. 603-620, 1995.