Dynamics and stability of premixed flames

Physics Report

Volumn 325, Issue 4-5, 2000, Pages 115-237

  Bychkov, V V ^a   Liberman, M A ^b,c  

^a UMEÅ UNIVERSITY   (Sweden)

^b UPPSALA UNIVERSITY   (Sweden)

^c KAPITZA INSTITUTE FOR PHYSICAL PROBLEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000735276     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-1573(99)00081-2     Document Type: Review

References (150)

1. Arnett, W.D., 1969. Astrophys. Space Sci. 5, 180.
2. Arnett, W.D., Livne, E., 1994. Astrophys. J. 427, 315.
3. Baker, L., 1978. Phys. Fluids 21, 295.
4. Barenblatt, G.I., Zeldovich, Ya.B., Istratov, A.G., 1962. Prikl. Mech. Tekn. Fiz. 2, 21.
5. Batley, G.A., McIntosh, A.C., Brindley, J., 1993. Combin. Sci. Technol. 92, 367.
6. Batley, G.A., McIntosh, A.C., Brindley, J., 1996. Proc. Roy. Soc. London A 452, 199.
7. Bechtold, J.K., Matalon, M., 1987. Combin. Flame 67, 77.
8. Blinnikov, S.I., Sasorov, P.V., 1996. Phys. Rev. E 53, 4827.
9. Blythe, P.A., Crighton, D.G., 1989. Proc. Roy. Soc. London A 426, 189.
10. Bodner, S.E., 1974. Phys. Rev. Lett. 33, 761.
11. Bravo, E., Garcia-Senz, D., 1995. Astrophys. J. 450, L17.
12. Bregeon, B., Gordon, A.D., Williams, F.A., 1978. Combin. Flame 33, 33.
13. Bychkov, V.V., Liberman, M.A., 1994. Phys. Rev. Lett. 73, 1998.
14. Bychkov, V.V., Golberg, S.M, Liberman, M.A., 1994. Phys. Plasmas 1, 2976.
15. Bychkov, V.V., Liberman, M.A., 1995a. Astron. Astrophys. 302, 727.
16. Bychkov, V.V., Liberman, M.A., 1995b. Astrophys. J. 451, 711.
17. Bychkov, V.V., Liberman, M.A., 1995c. Astron. Astrophys. 304, 440.
18. Bychkov, V.V., Liberman, M.A., 1995d. Astrophys. Space Sci. 233, 287.
19. Bychkov, V.V., Liberman, M.A., 1996. Phys. Rev. Lett. 76, 2814.
20. Bychkov, V.V., Golberg, S.M., Liberman, M.A., Eriksson, L.E., 1996. Phys. Rev. E 54, 3713.
21. Bychkov, V.V., 1997. Phys. Rev. E 55, 6898.
22. Bychkov, V.V., Liberman, M.A., 1997. Phys. Rev. Lett. 78, 1371.
23. Bychkov, V.V., Liberman, M.A., 1997a. J. Exp. Theor. Phys. 84, 281.
24. Bychkov, V.V., Kleev, A.I., Liberman, M.A., Golberg, S.M., 1997. Phys. Rev. E 56, R36.
25. Bychkov, V.V., Golberg, S.M., Liberman, M.A., Kleev, A.I., 1997a. Combin. Sci. Technol. 129, 217.
26. Bychkov, V.V., 1998. Phys. Fluids 10, 2091.
27. Bychkov, V.V., 1998a. Phys. Fluids 10, 2669.
28. Bychkov, V.V., Kleev, A.I., Liberman, M.A., 1998. Combin. Flame 113, 470.
29. Bychkov, V.V., 1999. Phys. Fluids 11 (10), in press.
30. Bychkov, V.V., Kleev, A.I., 1999. Phys. Fluids 11, 1890.
31. Bychkov, V.V., Kovalev, K.A., Liberman, M.A., 1999. Phys. Rev. E 60 (3), in press.
32. Chandrasekhar, S., 1961. Hydrodynamic and Hydromagnetic Stability. Clarendon press, Oxford.
33. Clanet, C., Searby, G., 1998. Phys. Rev. Lett. 80, 3867.
34. Clarke, J.F., 1989. Prog. Energy Combin. Sci. 15, 241.
35. Clavin, P., Williams, F.A., 1979. J. Fluid Mech. 90, 589.
36. Clavin, P., Williams, F.A., 1982. J. Fluid Mech. 116, 251.
37. Clavin, P., Garcia, P., 1983. J. Mech. Theor. Appl. 2, 245.
38. Clavin, P., Joulin, G., 1983. J. Phys. Lett. 44, L1.
39. Clavin, P., 1985. Prog. Energy Combin. Sci. 11, 1.
40. Clavin, P., Pelce, P., He, L., 1990. J. Fluid Mech. 216, 299.
41. Clavin, P., 1994. Ann. Rev. Fluid Mech. 26, 321.
42. Clavin, P., He, L., 1996. Phys. Rev. E 53, 4778.
43. Coward, H.F., Hartwell, F.J., 1932. J. Chem. Soc. 1996; J. Chem. Soc. 2676.
44. Coward, H.F., Hartwell, F.J., 1932. J. Chem. Soc. 1996; J. Chem. Soc. 2676.
45. Darrieus, G., 1938. Propagation d'un Front de Flamme, Conferences: La Technique Modern. Congres de Mechanique Applique, Paris.
46. Davies, R.M., Taylor, G., 1950. Proc. Roy. Soc. A 200, 375.
47. Denet, B., Haldenwang, P., 1995. Combin. Sci. Technol. 104, 143.
48. Ebert, U., van Saarloos, W., Caroli, C., 1997. Phys. Rev. E 55, 1530.
49. Edwards, N.R., McIntosh, A.C., Brindley, J., 1994. Combin. Sci. Technol. 99, 179.
50. Erpenbeck, J.J., 1962. Phys. Fluids 5, 604.
51. Filiand, L., Sivashinsky, G.I., Frankel, M.L., 1994. Physica D 72, 110.
52. Frankel, M.L., Sivashinsky, G.I., 1982. Combin. Sci. Technol. 29, 207.
53. Frankel, M.L., 1990. Phys. Fluids A 2, 1879.
54. Frost, D.L., 1988. Phys. Fluids 31, 2554.
55. Galanti, B., Kupervasser, O., Olami, Z., Procaccia, I., 1998. Phys. Rev. Lett. 80, 2477.
56. Genoche, H., 1964. In: Markstein, G. (Ed.), Nonsteady Flame Propagation. Pergamon Press, Oxford, p. 107.
57. Gonzalez, M., Borghi, R., Saouab, A., 1992. Combin. Flame 88, 201.
58. Gostintsev, Y.A., Istratov, A.G., Shulenin, Y.V., 1988. Combin. Exp. Shock Waves 24, 70.
59. Gussak, L.A., Sprintsina, E.N., Shelkin, K.I., 1968. Fiz. Gor. Vzryva 4, 358.
60. Gutman, S., Sivashinsky, G.I., 1990. Physica D 43, 129.
61. He, L., Lee, J.H.S., 1995. Phys. Fluids 7, 1151.
62. Inogamov, N.A., 1978. Sov. Technol. Phys. Lett. 4, 299.
63. Istratov, A.G., Librovich, V.B., 1966. J. Appl. Math. Mech. 7 (1), 43.
64. Istratov, A.G., Librovich, V.B., 1969. Astronautica Acta 14, 453.
65. Jackson, T.L., Kapila, A.K., 1984. Combin. Sci. Technol. 41, 191.
66. Jackson, T.L., Kapila, A.K., Stewart, D.S., 1989. SIAM J. Appl. Math. 49, 432.
67. Joulin, G., 1989. J. Phys. France 50, 1069.
68. Joulin, G., 1991. J. Exp. Theor. Phys. 73, 234.
69. Joulin, G., 1994. Phys. Rev. E 50, 2030.
70. Kadowaki, S., 1995. Phys. Fluids 7, 220.
71. Kadowaki, S., 1997. Phys. Rev. E 56, 2966.
72. Khokhlov, A., 1991. Astron. Astrophys. 245, 114.
73. Khokhlov, A.M., 1995. Astrophys. J. 449, 695.
74. Khokhlov, A.M., Oran, E.S., Wheeler, J.G., 1996. Combin. Flame 105, 28.
75. Kriminski, S.A., Bychkov, V.V., Liberman, M.A., 1998. New Astron. 3, 363.
76. Kull, H., 1985. Phys. Rev. A 31, 540.
77. Kull, H.J., Anisimov, A.I., 1986. Phys. Fluids 29, 2067.
78. Kull, H.J., 1991. Phys. Rep. 206, 197.
79. Kupervasser, O., Olami, Z., Procaccia, I., 1996. Phys. Rev. Lett. 76, 146.
80. Landau, L.D., 1944. Zh. Eksp. Teor. Fiz. 14, 240.
81. Landau, L.D., Lifshitz, E.M., 1960. Mechanics. Pergamon Press, Oxford.
82. Landau, L.D., Lifshitz, E.M., 1976. Quantum Mechanics. Pergamon Press, Oxford.
83. Landau, L.D., Lifshitz, E.M., 1987. Fluid Mechanics. Pergamon Press, Oxford.
84. von Lavante, E., Strehlow, A.R., 1983. Combin. Flame 49, 123.
85. Law, C.K., Faeth, G.M., 1994. Prog. Energy Combin. Sci. 20, 66.
86. Layzer, D., 1955. Astrophys. J. 122, 1.
87. Lee, Y.C., Chen, H.H., 1982. Phys. Scripta T 2, 41.
88. Levy, A., 1965. Proc. Roy. Soc. 283, 134.
89. Liberman, M.A., Bychkov, V.V., Golberg, S.M., 1993. J. Exp. Theor. Phys. 77, 227.
90. Liberman, M.A., Bychkov, V.V., Golberg, S.M., Book, D.L., 1994. Phys. Rev. E 49, 445.
91. Liberman, M.A., Golberg, S.M., Bychkov, V.V., Eriksson, L.E., 1998. Combin. Sci. Technol. 136, 221.
92. Mandelbrot, B.B., 1983. The Fractal Geometry of Nature. Freeman, San Francisco.
93. Manheimer, W.H., Colombant, D.G., Gardner, G.H., 1982. Phys. Fluids 25, 1644.
94. Manheimer, W.M., Colombant, D.R., 1984. Phys. Fluids 27, 983.
95. Manheimer, W.M., Colombant, D.R., Ott, E., 1984. Phys. Fluids 27, 2164.
96. Markstein, G.H., 1964. Nonsteady Flame Propagation. Pergamon Press, Oxford.
97. Matalon, M., Matkowsky, B.J., 1982. J. Fluid Mech. 124, 239.
98. Maxworthy, T., 1962. Phys. Fluids 5, 407.
99. McGrevy, J.L., Matalon, M., 1992. Combin. Sci. Technol. 91, 213.
100. McGrevy, J.L., Matalon, M., 1994. Combin. Sci. Technol. 100, 75.
101. McIntosh, A.C., 1991. Combin. Sci. Technol. 75, 287.
102. Meshkov, E.E., 1969. Fluid. Dyn. 4, 101.
103. Minaev, S.S., 1992. Combin. Expl. Shock Waves 28, 30.
104. Niemeyer, J.C., Hillebrandt, W., 1995a. Astrophys. J. 452, 769.
105. Niemeyer, J.C., Hillebrandt, W., 1995b. Astrophys. J. 452, 779.
106. Niemeyer, J.C., Woosley, S., 1997. Astrophys. J. 475, 740.
107. N'konga, B., Fernandez, G., Guillard, H., Larroutrou, B., 1992. Combin. Sci. Technol. 87, 69.
108. Nomoto, K., Thielemann, F.K., Yokoi, K., 1984. Astrophys. J. 286, 644.
109. Olami, Z., Galanti, B., Kupervasser, O., Procaccia, I., 1997. Phys. Rev. E 55, 2649.
110. Ott, E., 1972. Phys. Rev. Lett. 29, 1429.
111. Pelce, P., Clavin, P., 1982. J. Fluid Mech. 124, 219.
112. Pelce, P., 1985. J. Physique 46, 503.
113. Pelce-Savornin, C., Quinard, J., Searby, G., 1988. Combin. Sci. Technol. 58, 337.
114. Pelce, P., Rochwerger, D., 1992. J. Fluid Mech. 239, 293.
115. Rakib, Z., Sivashinsky, G., 1987. Combin. Sci. Technol. 54, 69.
116. Rakib, Z., Sivashinsky, G., 1988. Combin. Sci. Technol. 59, 247.
117. Rahibe, Z., Aubry, N., Sivashinsky, G., Lima, R., 1995. Phys. Rev. E 52, 3675.
118. Rahibe, Z., Aubry, N., Sivashinsky, G., 1996. Phys. Rev. E 54, 4958.
119. Renardy, M., 1987. Physica D 28, 155.
120. Richtmyer, R.D., 1960. Comm. Pure Appl. Math. 13, 297.
121. Searby, G., 1992. Combin. Sci. Technol. 81, 221.
122. Searby, G., Rochwerger, D., 1991. J. Fluid Mech. 231, 529.
123. Shelkin, K.I., 1940. Zh. Eksp. Teor. Fiz. 10, 823.
124. Shelkin, K.I., 1966. Sov. Phys. Uspekhi 8, 780.
125. Shepherd, J.E., Sturtevant, B., 1982. J. Fluid. Mech. 121, 379.
126. Shtemler, Y.M., Sivashinsky, G.I., 1994. Combin. Sci. Technol. 102, 81.
127. Sivashinsky, G.I., 1977. Acta Astronaut. 4, 1177.
128. Sivashinsky, G.I., 1983. Ann. Rev. Fluid Mech. 15, 179.
129. Thual, O., Frisch, U., Henon, M., 1985. J. Phys. 46, 1485.
130. Timmes, F.X., Woosley, S.E., 1992. Astrophys J. 396, 649.
131. Travnikov, O.Yu., Liberman, M.A., Bychkov, V.V., 1997. Phys. Fluids 9, 3935.
132. Travnikov, O.Yu., Bychkov, V.V., Liberman, M.A., 1999. Combin. Sci. Technol., in press.
133. Travnikov, O.Yu., Bychkov, V.V., Liberman M.A., 1999a. Phys. Fluids 11, 2657.
134. Uberoi, M.S., 1959. Phys. Fluids 2, 72.
135. Urtiew, P.A., Oppenheim, A.K., 1966. Proc. Roy. Soc. London A 295, 13.
136. Wheeler, J.G., 1995. Private communication.
137. Woosley, S.E., Weaver, T.A., 1986. Ann. Rev. Astron. Astrophys. 24, 205.
138. Yakhot, V., Orzag, S.A., 1986a. Phys. Rev. Lett. 57, 1722.
139. Yakhot, V., Orzag, S.A., 1986b. J. Sci. Comput. 1, 3.
140. Yakhot, V., 1988. Combin. Sci. Technol. 60, 191.
141. Zaidel, R.M., 1961. Dokl. AN SSSR 136, 1142.
142. Zaidel, R.M., Zeldovich, Ya.B., 1963. Prikl. Mech. Tekh. Fiz. 6, 59.
143. Zeldovich, Ya.B., Frank-Kamenetski, D.A., 1938. Acta Physicochimica URSS 9, 341.
144. Zeldovich, Ya.B., Rozlovski, A.I., 1947. Dokl. Acad. Nauk SSSR 57, 365.
145. Zeldovich, Ya.B., 1966. Prikl. Mekh. Tekh. Fiz. (1), 102.
146. Zeldovich, Ya.B., Librovich, V.B., Makhviladze, G.M., Sivashinsky, G.I., 1970. Astron. Acta 15, 313.
147. Zeldovich, Ya.B., 1980. Combin. Flame 39, 211.
148. Zeldovich, Ya.B., Istratov, A.G., Kidin, N.I., Librovich, V.B., 1980. Combin. Sci. Technol. 24, 1.
149. Zeldovich, Ya.B., Barenblatt, G.I., Librovich, V.B., Makhviladze, G.M., 1985. The Mathematical Theory of Combustion and Explosion. Consultants Bureau, New York.
150. Zhdanov, S.K., Trubnikov, B.A., 1989. J. Exp. Theor. Phys. 68, 65.