Converging detonation waves in a dusty gas

• Autorzy: Vishwakarma J. P. , Nath G.
• Języki publikacji: EN

Abstrakty

EN

The problem of converging detonation waves propagating through a dusty gas and releasing a constant amount of energy per unit mass is studied. The dusty gas is assumed to be a mixture of small solid particles and a perfect gas. The solid particles are distributed continuously in the perfect gas. An expression for the similarity exponent is determined for the detonation wave travelling in the Chapman-Jouguet regime. Also, the variation of the flow variables just behind the detonation front with the radius of the front are obtained. It is found that the presence of dust particles in the medium has a significant effect on the similarity exponent and the flow variables.

Słowa kluczowe

EN

detonation wave; detonation wave in a dusty gas; Chapman-Jouguet regime; solid particles in the perfect gas

PL

fala uderzeniowa; fala uderzeniowa w zapylonym gazie; zakres Chapmana-Jougueta; cząstki stałe w gazie doskonałym

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2006
• Tom: Vol. 47, no 3
• Strony: 159--173
• Opis fizyczny: Bibliogr. 18 poz., wykr.

Twórcy

autor

Vishwakarma J. P.

autor

Nath G.

• Department of Mathematics and Statistics D.D.U. Gorakhpur University, Gorakhpur - 273009, India

Bibliografia

• 1. J.H. LEE, B.H.K. LEE, Cylindrical imploding shock waves, Phys. Fluids, 8, 12, 2148-2152, 1965.
• 2. W. CHESTER, The quasi-cylindrical shock tube, Phil. Mag., 45, 7, 1293-1301, 1954.
• 3. R. F. CHISNELL, The motion of a shock wave in a channel with application to cylindrical and spherical shocks, J. Fluid Mech., 2, 286-298, 1957.
• 4. G. B. WHITHAM, On the propagation of shock waves through regions of non-uniform area or flow, J. Fluid Mech., 4, 4, 337-357, 1958.
• 5. J. TYL, E. WŁODARCZYK, Analysis of concentric detonation waves in gaseous explosive mixtures, J. Tech. Phys., 28, 3, 297-308, 1987.
• 6. J. B. HELLIWELL, Magnetogasdynamic deflagration and detonation waves with ionization, J. Fluid Mech., 16, 2, 243-261, 1963.
• 7. R. L. WELSH, Imploding shocks and detonations, J. Fluid Mech., 29, 1, 61-79, 1967.
• 8. R. I. NIGMATULIN, Converging cylindrical and spherical detonation waves, J. Appl. Math. Mech., 31, 1, 171-177, 1967.
• 9. I. TEIPEL, Imploding detonation waves, Mech. Res. Comm., 3, 1, 21-26, 1976.
• 10. YA. B. ZEL'DOVICH, Yu. P. RAIZER, Physics of shock waves and high temperature hydrodynamics phenomena, Vol. II, Academic Press, New York, London, 1967.
• 11. T. SUZUKI, S. OHYAGI, F. HIGASHINO, A. TAKANO, The propagation of reacting blast waves through inert particle clouds, Acta Astronautica, 3, 7-8, 517-529, 1976.
• 12. S. I. PAI, S. MENON, Z. Q. FAN, Similarity solutions of a strong shock wave propagation in a mixture of a gas and dusty particles, Int. J. Eng. Sci., 18, 12 A, 1365-1373, 1980.
• 13. R. MIURA, I. I. GLASS, Development of the flow induced by a piston moving impulsively in a dusty gas, Proc. Roy. Soc., London, 397, A, 295-309, 1985.
• 14. S.I. PAI, Two phase flows, Chap. V, Tracts in Pure Appl. Phys., 3, Vieweg Verlag, Braunchweig, 1977.
• 15. F. E. MARBLE, Dynamics of dusty gases, Ann. Rev. Fluid Mech., 2, 397-446, 1970.
• 16. J. JENA, V. D. SHARMA, Self-similar shocks in a dusty gas, Int. J. Non-linear Mech., 34, 2, 313-327, 1999.
• 17. T. HIRSCHLER, H. STEINER, A self-similar solution for the implosion problem in a dusty gas, Fluid Dyna. Res., 32, 3, 61-67, 2003.
• 18. B. G. VERMA, J. P. VISHWAKARMA, V. SHARAN, Converging concentric detonation waves in magnetogasdynamics, Indian J. Pure Appl. Math., 15, 6, 685-694, 1984.