Numerical Simulation of Intense Reaction Propagation in Multiphase Systems

AIChE Journal

Volumn 44, Issue 2, 1998, Pages 294-309

  Pape, Ronald ^a   Gidaspow, Dimitri ^b  

^a IIT RESEARCH INSTITUTE   (United States)

^b Illinois Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; HEAT TRANSFER; INVARIANCE; REACTION KINETICS;

ARRHENIUS REACTION KINETICS; NUMERICAL DIFFUSION;

MULTIPHASE FLOW;

CHEMICAL ENGINEERING; DIFFUSION; MATHEMATICAL MODELING; MULTIPHASE FLOW; REACTION;

EID: 0032005603     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690440208     Document Type: Article

References (39)

1. Aldis, D. F., "Reactive Multiphase Hydrodynamics," PhD Thesis, Illinois Inst. of Technology (1987).
2. Aldis, D. F., and D. Gidaspow, "Two-Dimensional Analysis of a Dust Explosion," AIChE J., 36, 7 (1990).
3. Baer, M. R., and R. J. Gross, "A Two-Dimensional Flux-Corrected Transport Solver for Convectively Dominated Flows," Sandia Report SAND85-0613, Sandia National Lab. (1989).
4. Baer, M. R., J. W. Nunzaito, and P. F. Embid, "Deflagraton-to-Detonation Transition in Reactive Granular Materials," Numerical Approaches to Combustion Modeling, E. S. Oran and J. P. Boris, eds., 135, Progress in Aeronautics and Astronautics, AIAA, Washington, DC (1990).
5. Book, D. L., and M. A. Fry, "Airblast Simulations Using Flux-Corrected Transport Codes," Naval Research Laboratory Memorandum Report 5334, U.S. Naval Research Lab., Washington, DC, AD-A142 820 (1984).
6. Book, D. L., ed., "Flux Corrected Transport," Finite-Difference Techniques for Vectorized Fluid Dynamics Calculations, Chap. 3, Springer-Verlag, New York (1981).
7. Boris, J. P., and D. L. Book, "Flux-Corrected Transport: III. Minimal-Error FCT Algorithms," J. of Comput. Phys., 20, 397 (1976).
8. Chakravarthy, S. R., K. Y. Szema, U. C. Goldberg, and J. J. Gorski, "Applications of a New Class of High Accuracy TVD Schemes to the Navier-Stokes Equations," AIAA Paper 85-0165, Aerospace Sciences Meeting, Reno, NV (1985).
9. Chakravarthy, S. R., and S. Osher, "A New Class of High Accuracy TVD Schemes for Hyperbolic Conservation Laws," AIAA Paper 85-0363, Aerospace Sciences Meeting, Reno, NV (1985).
10. Cowperthwaite, M., and W. H. Zwisler, "TIGER Computer Program Documentation," Stanford Research Institute Project PYU-1182 for U.S. Army Picatinny Arsenal (Contract DAAA21-71-C-0454) and Stanford Research Project PYU-1281 for Lawrence Livermore Laboratory (Contract AT(04-3)-115) (1984).
11. Finlayson, B. A., Numerical Methods for Problems with Moving Fronts, Ravenna Park Publishing, Seattle (1992).
12. Gidaspow, D., Multiphase Flow and Fluidization, Continuum and Kinetic Theory Descriptions, Academic Press, San Diego (1994).
13. Gidaspow, D., and L. Huilin, "Collisional Viscosity of FCC Particles in a CFB," AIChE J., 42, 2503 (1996).
14. Gidaspow, D., M. Syamlal, J. L. Austing, A. J. Tulis, W. K. Sumida, and W. Comeyne, "The Large-Scale Detonation of a Participate Pyrotechnic in a Computer-Modeled Dispersed State," Pyrotechnics Seminar (1984).
15. Godunov, S. K., A. V. Zabrodin, and G. P. Prokopov, "A Computational Scheme for Two-Dimensional Non Stationary Problems of Gas Dynamics and Calculation of the Flow From a Shock Wave Approaching a Stationary State," Zh. vych. mat., 1(6), 1020 (1961).
16. Gross, R. J., and M. R. Baer, "ETBFCT - A Solver for One-Dimensional Transport Equations," Sandia Report SAND85-1273 (1985).
17. Kunhardt, E. E., and C. Wu, "Towards a More Accurate Flux Corrected Transport Algorithm," J. of Comput. Phys., 68, 127 (1987).
18. Lyczkowski, R. W., D. Gidaspow, C. W. Solbrig, and E. D. Hughes, "Characteristics and Stability Analyses of Transient One-Dimensional Two-Phase Flow Equations and Their Finite Difference Approximations," Nucl. Sci. and Eng., 66, 378 (1978).
19. Miller, A., and D. Gidaspow, "Dense, Vertical Gas-Solid Flow in a Pipe," AIChE J., 38, 11 (1992).
20. Pape, R., "Multiphase Reactive Flow Modeling Applied to Dispersed Explosive Systems in a Detonation Tube," PhD Thesis, Illinois Inst. of Technology (1996).
21. Pape, R., D. Gidaspow, and S. Wu, "Multiphase Flow in Slurry Bubble Column Reactors and Solid Propellant Rockets," Int. Symp. on Numerical Methods for Multiphase Flows, ASME, San Diego, CA (1996a).
22. Pape, R., A. J. Tulis, D. Gidaspow, and W. Comeyne, "The Establishment of Stable Detonation Propagation in a Detonation Tube," Int. Pyrotechnics Symp., Fort Collins, CO (1996b).
23. Powers, J. M., D. S. Stewart, and H. Krier, "Theory of Two Phase Detonation: I. Modeling," Combust. and Flame, 80, 264 (1990).
24. Powers, J. M., D. S. Stewart, and H. Krier, "Theory of Two Phase Detonation: II. Structure," Combust, and Flame, 80, 264 (1990).
25. Richtmyer, R. D., and K. W. Morton, Difference Methods for Initial Value Problems, 2nd ed., Interscience Publishers, New York (1967).
26. Rivard, W. C., and M. D. Torrey, "K-FIX: A Computer Program for Transient Two-Dimensional, Two-Fluid Flow," Los Alamos, LA-NUREG-6623 (1977).
27. Smith, J. M., and H. C. Van Ness, Introduction to Chemical Engineering Thermodynamics, 4th ed., McGraw-Hill, New York (1987).
28. Sun, B., D. Gidaspow, R. Pape, and W. Comeyne, "The Numerical Modeling of a Dispersed Explosive System," Proc. Int. Pyrotechnics Seminar, Colorado Springs, CO (1994).
29. Tulis, A. J., and J. R. Selman, "Detonation Tube Studies of Aluminum Particles Dispersed in Air," Proc. Int. Symp. on Combustion, Haifa, Israel (1982).
30. Tulis, A. J., J. L. Austing, and D. C. Heberlein, "Detonation Tube Studies of Reactive Particles in Two-Phase Detonations," Proc. Int. Symp. on Shock Tubes and Waves, Sydney, Australia (1983).
31. Tulis, A. J., W. K. Sumida, and H. Egghart, "Detonation of Oxidizer Powders in Ethylene Gas," Proc. Int. Pyrotechnics Seminar, Boulder, CO (1990).
32. Tulis, A. J., W. K. Sumida, H. Egghart, and D. C. Heberlein, "Observations of Spinning Detonation in Two-Phase Fuel-Oxidizer Solids Dispersed in Gas One-Dimensional Tube Studies," Proc. Int. Pyrotechnics Seminar combined with Int. Symp. on Pyrotechnics and Explosives, Beijing, China (1991).
33. Tulis, A. J., and W. K. Sumida, "Detonation Tube Studies of Multi-Phase Dispersed Systems," IIT Research Institute Report No. IITRI-C06707-F, for U.S. Army Belvoir RD&E Center, Fort Belvoir, VA (1994).
34. Tulis, A. J., W. K. Sumida, R. P. Joyce, D. C. Heberlein and D. L. Patel, "Phenomenological Aspects in Explosive Powder/Gas Two-Phase Detonations," Int. Symp. on Combustion, Combustion Inst., Univ. of California, Irvine, CA, p. 79 (1994).
35. Van Leer, B., "Towards the Ultimate Conservation Difference Scheme. V. A Second-Order Sequel to Godunov's Method," J. Comput. Physics, 32, 101 (1979).
36. Wu, S., and D. Gidaspow, "Simulation of Methanol Synthesis in G-L-S Slurry Bubble Column Reactors," Chem. Eng. Sci., in press (1997).
37. Yee, H. C., "Linearized Form of Implicit TVD Schemes for the Multidimensional Euler and Navier-Stokes Equations," Comput. & Math. with Appl., 12A(4/5), 413 (1985).
38. Yee, H. C., "Construction of Explicit and Implicit Symmetric TVD Schemes and Their Applications," J. Comput. Phys., 68, 1 (1987).
39. Zha, G. C., and F. Bilgen, "Numerical Solutions of Euler Equations by Using a New Flux Vector Splitting Scheme," Int. J. for Numerical Methods in Fluids, 17, 115 (1993).