Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-19T23:12:36.187Z Has data issue: false hasContentIssue false

Blast-wave propagation in a spray

Published online by Cambridge University Press:  19 April 2006

T. H. Pierce
Affiliation:
Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh Present address: Systems, Science and Software, P.O. Box 1620, La Jolla, California 92038.

Abstract

A first-order analysis is presented for the propagation of a blast wave through a dilute spray of non-reactive liquid droplets that are suspended in a non-reactive gas-phase carrier. The analysis permits straightforward computation of decay rates and internal wave structure for wave strengths in the approximate Mach number range 4 ≤ Ms ≤ 15, and loading factors (mass of spray per unit mass of carrier) less than about 0·4. The droplets must be sufficiently small to completely change phase in a distance behind the shock that is at all times negligible compared with the wave radius. Representative calculations are presented and discussed. These show more rapid decay rates and higher pressures, densities, and particle velocities in two-phase blast waves when compared against equivalent gas-phase blast waves. A simplification of the analysis for the regime of higher wave Mach numbers (strong waves) is also given, which for that case allows direct algebraic calculation of early wave characteristics.

Type
Research Article
Copyright
© 1978 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bach, G. G., Knystautas, R. & Lee, J. H. 1971 Initiation criteria for diverging gaseous detonations. 13th Symp. (Int.) on Combustion, Combustion Inst., Pittsburgh, p. 1097.
Dabora, E. K. 1972 Variable energy blast waves. A.I.A.A. J. 10, 1384.Google Scholar
Korobeinikov, V. P. 1971 Gas dynamics of explosions. Ann. Rev. Fluid Mech. 3, 317.Google Scholar
Ranger, A. A. & Nicholls, J. A. 1972 Atomization of liquid droplets in a convective stream. Int. J. Heat Mass Transfer 15, 1203.Google Scholar
Sakurai, A. 1965 Blast wave theory. In Basic Developments in Fluid Dynamics, vol. I (ed. M. Holt), p. 309. Academic Press.
Sedov, L. I. 1959 Similarity and Dimensional Methods in Mechanics. Academic Press.
Treve, Y. M. & Manley, P. P. 1972 A point explosion in an arbitrary atmosphere. J. Fluid Mech. 55, 737.Google Scholar
Woolfolk, R. W. & Ablow, C. M. 1974 Dependence of the blast wave from an explosion on the energy release rate. 15th Symp. (Int.) on Combustion, Combustion Inst., Pittsburgh, unpublished preprint.