Converging Spherical Detonation Waves.

Arisudan Rai

doi:10.14429/dsj.48.3900

Arisudan Rai North Eastern Regional Institute of Science & Technology, Nirjuli.

DOI: https://doi.org/10.14429/dsj.48.3900

Keywords: Graphical form, Analytical solutions, Spherical detonation waves

Abstract

The problem of converging spherical detonation waves propagating through a gas with varyingdensity is discussed. By neglecting the effect of variation of Q on the similarity exponent, both analytical and numerical solutions for motion of the detonation front have been obtained and arepresented in graphical form.

Author Biography

Arisudan Rai, North Eastern Regional Institute of Science & Technology, Nirjuli.

Dr Arisudan Rai obtained his PhD in Gas dynamics from Banaras Hindu University in 1980.Presently, he is working as Asst. Prof (Maths) at NERIST, Nirjuli. His areas of research include fluiddynamics, magneto gasdynamics and summbility. He has published more than 40 papers.

References

Kopal, Z. Spherical shock waves through self-gravitating gases. Astrophysics Journal,

.120,159.

Sedov, L.I. Similarity and dimensional methods in mechanics. State Publishing. House, Moscow, 1959. p. 225.

Lidov, M.L. Spherical shock waves with variables shock strength. Prikl. Mat. Mech., 1955.19,541.

Purohit, S.C. Self-similar homothennal flow of self-gravitating gas, J.Phy-Soc. Japan, 1974,36, 288.

Rai, A.S., Gaur, M. Propagation of strong MOD shocks in a self-gravitating gas, IL. Nuovo Cimento, 1991, l06B (7),755.

Kynch, G.T. Modem developments in fluid dynamics. Clarendon Press, Oxford, 1953. p.146

Taylor, J.L. An exact solutions of the spherical blast wave problem. Philosophical Magazine, 1955,46,317.

Stanyukovich, K.P. Unsteady motion of continuous media. Pergmon Press, Oxford, 1960.

Welsh, R.L. On contracting detonation shock front into a unifonn combustible gas. J. Fluid Mech., 1967,29,61.

Nigmatulin, R.I. Propagation of a contracting detonation shock front. J. Appl Math. Mech., 1967, 31, 171.