Dynamic features of combustion

Barenblatt G. I. Guirguis R. H. Kamel M. M. Khul A. L. Oppenheim A. K. & Zeldovich Ya. B. 1 9 8 0 Self-similar explosion waves of variable energy at the front. F Iu id M e c h . 99 841-858.

Baulch D. L. Drysdale D. D. Horne D. G. & Lloyd A. C. 1 9 7 2 E va Iu a ted kinetic data f o r high temperature reactions vol. 1. London: Butterworths.

Bazhenova T. V. Gvozdeva L. G. Nobastov Yu. S. Naboko I. M. Nemkov R. G. & Predvoditeleva O. A. 1 9 6 8 Sh ock w aves in real gases. Moscow: Izdatel'stvo Nauka.

Berthelot M. & Vieille P. 1 8 2 2 Sur la vitesse de propagation des phenomenes explosifs dans les gaz. C. r. hebd. Seanc.A cad. Sci. P a ris 94 101-108; 822-823; 95 151-157.

10.1098/rsta.1971.0087

Borisov A. A. 1 9 7 4 O n the origin of exothermic centers in gaseous mixtures. A cta astronaut. 1 900-920.

Carter C. D. Sawyer R. F. & Oppenheim A. K. 1 9 8 5 Thermochemistry of ignition applied to the H 2- 0 2 system. (In preparation.)

Chernyi G. G. Korobeinikov V. P. Levin V. A. & Medvedev S. A. 1 9 7 0 One-dimensional unsteady motion of combustible gas mixtures associated with detonation waves. A cta astronaut. 15 255-266.

Chorin A. J . 1 9 7 3 Numerical studies of slightly viscous flow. J . F Iu id M ech . 57 785-796.

Chorin A. J. 1 9 7 8 Vortex sheet approxim ation of boundary layers. J . comp. P hys. 27 428-442.

Chorin A. J. 1 9 8 0 Flame advection and propagation algorithms. J . comp. P hys. 35 1-11.

Clarke J . F. Kassoy D. R. & Riley N. 1 9 8 4 Shocks generated in a continued gas due to rapid heat addition at the boundary; I. Weak shock waves and II. Strong shock waves. Proc. R . Soc. L ond. A 393 309-329; 331-351.

Cohen L. M. & O ppenheim A. K. 1 9 7 5 Effects of size and dilution on dynamic properties of exothermic centers. C o m b u st. F la m e 25 207-211.

Cohen L. M. Short J . M. & O ppenheim A. K. 1 9 7 5 c A com putational technique for the evaluation of dynamic effects of exothermic reactions. Com bust. F lam e 24 319-334.

C ourant R. & Friedrichs K. O. 1 9 4 8 Supersonic flo w a n d shock waves. New York: Wiley.

Denisov Yu. N. & Troshin Ya. K. 1 9 5 9 Pulsiruyushchaia i spinovaia detonatsia gazovikh smeshei v trubakh (Pulsating and spinning detonation of gaseous mixtures in tubes). D o k l. A ka d . N a u k S S S R 125 110-113.

10.1098/rsta.1979.0045

Dougherty E. P. & Rabitz H. 1 9 8 0 Com putational kinetics and sensitivity analysis of hydrogen-oxygen combustion. J . chem. P h ys. 72 6571-6585.

Edwards D. H. Hooper G. Jo b E. M. & Parry D. J . 1 9 7 0 The behavior of the frontal and transverse shocks in gaseous detonation waves. A stronaut. A cta 15 323-333.

Frank-Kam enetskii D. A. 1 9 6 9 D iffu sio n an d heat transfer in chemical kinetics (transl. N. Thon). New York: Plenum Press. (Revised edition of text published in 1947.)

Fujiwara T. 1 9 7 0 Plane steady Navier-Stokes detonations of oxyozone. J . P h ys. Soc. J a p a n 29 1350-1364.

Fujiw ara T. 1 9 7 5 Spherical ignition of oxyhydrogen behind a reflected shock wave. In F ifteenth Sym posium (International) on C om bustion pp. 1515-1524. Pittsburgh: The Combustion Institute.

Gear C. W. 1 9 7 1 N um erical in itia l value problem s in ordinary differential equations. New Jersey: Prentice-Hall.

Ghoniem A. F., Numerical modelling of turbulent flow in a combustion tunnel. P h il T ra n s. R, Soc. Lond. A, 394, 303

Gray P. & Lee P. R. 1 9 6 7 Therm al explosion theory. O xidation an d Com bustion R eview s 2 pp. 1-183. Amsterdam: Elsevier.

Gray B. F. & Yang C. H. 1 9 6 5 O n the unification of the therm al and chain theories of explosion limits. J . p hys. C hem . 69 2747-2750.

Grigorian S. S. 1 9 5 8 C auchy's problem and the problem of a piston for one-dimensional nonsteady motions of a gas. J . appl. M a th . M ech. 22 187-197.

Guderley G. 1 9 4 2 Powerful spherical and cylindrical compression shocks in the neighbourhood of a centre of a sphere and of a cylinder axis. L u ftfa rh rtfo rsch u n g 19 302-312.

Guirguis R. H. O ppenheim A. K. K arasalo I. & Creighton J . R. 1 9 8 1 Thermochemistry of m ethane ignition. P ro g . A stro n a u t. A ero n a u t. 76 134-153.

Hicks B. L. 1 9 5 4 Theory of ignition considered as a therm al reaction. J . chem. P h ys. 22 414-429.

Hsiao C.-C. Ghoniem A. F. Chorin A. J . & Oppenheim A. K. 1 9 8 5 Numerical simulation of a turbulent flame stabilized behind a rearward-facing step. In Proceedings o f the twentieth ( ) sym posium on combustion. Pittsburgh: T he Combustion Institute. (In the press.)

Jeffrey A. & T aniuti T. 1 9 6 4 N onlinear wave propagation w ith Academic Press. New York:

Kassoy D. R. & Poland J . 1 9 8 0 The therm al explosion confined by a constant tem perature boundary: I- The induction period solution. J . appl. M a th . 39 412-430.

Kassoy D. R. & Poland J . 1 9 8 1 T he therm al explosion confined by a constant tem perature boundary. II- The extremely rapid transient. J . appl. M a th . 41 231-246.

Keller J . O. Vaneveld L. Korschelt D. H ubbard G. L. Ghoniem A. F. Daily J. W. & Oppenheim A. K. 1 9 8 2 Mechanism of instabilities in turbulent combustion leading flashback. A IA A ero sp a ce J l 20 254-262.

Kindelan M. & Williams F. A. 1 9 7 5 R adiant ignition of a combustible solid with gas phase exothermicity. A cta a stronaut. 2 955-980.

Korobeinikov V. P. & Chushkin P. I. 1 9 6 6 Plane cylindrical and spherical explosions in a gas with counter pressure. Proc. V. A . Steklov In st. M a th . (ed. L. I. Sedov) pp. 4-33. Moscow: Izdatel'stvo Nauka.

Korobeinikov V. P. M il'nikova N. S. & Ryazanov Ye. V. 1 9 6 1 T h e theory o f p o in t explosion. Moscow: Fizmatgiz; (transl. by U.S. D epartm ent of Commerce JP R S : 14 334 CSO: 6961-N Washington D.C. (1962)).

Korobeinikov V. P. & Sharotova K. V. 1 9 6 9 G asdynam ic fu n ctio n s o f p o in t explosions. Moscow: Com puter Center USSR Academy of Sciences.

Kuhl A. L. Kamel M. M. & Oppenheim A. K. 1 9 8 5 Application of the principle of self-similarity to the analysis of non-self-similar blast waves. (In preparation.)

Lee J . H. S. 1 9 7 2 Gasdynamics of detonation. A stronaut. A cta 17 455-466.

Lee J ., Initiation of gaseous detonation. A n n . R ev. p h ys, Chem., 28, 75

Levin V. A. & Chernyi G. G. 1 9 6 7 Asymptotic laws of behaviour of detonation waves. J . appl. M a th . M ech. 31 393-405.

Lewis B. & von Elbe G. 1 9 6 1 Com bustion fla m es and explosions o f gases (xix + 731 pages.) New York: Academic Press. (Revised edition of text published in 1951.)

Libouton J . C. Dormal M. & V an Tiggelen P. J . 1 9 8 1 Reinitiation process at the end of the detonation cell. Gasdynamics of detonations and explosions. Prog. A stronaut. A eronaut. 75 358-369.

Linan A., Theory of ignition of a reactive solid by constant energy flux, Comb. Sci. Technol., 2, 11

10.1098/rspa.1969.0087

M allard E. & Le Chatelier H. 1 8 8 3 Recherches experimentales et theoriques sur la combustion des melanges gaseux explosifs. A n n . M in es 8 274-568.

Manson N. 1 9 4 7 Propagation des detonations et des deflagrations dans les melanges g a zea u x. Paris: O N ERA and l'lnstitut Francais des Petroles. (Transl. as ASTI A AD. no. 132-808).

M erzhanov A. G. & Averson A. E. 1 9 7 1 C om bust. F la m e 16 89-124. The present state of the therm al ignition theory: an invited review