Abstract
For the problem of waves due to an explosion above the surface of a homogeneous ocean of finite depth, asymptotic expressions of the velocity potential and the surface displacement are determined for large times and distances from the pressure area produced by the incident shock. It is shown that the first item in Sakurai's approximation scheme for the pressure field inside the, blast wave as well as the results of Taylor's point blast theory can be used to yield realistic expressions of surface displacement. Some interesting features of the wave motion in general are described. Finally some numerical calculations for the surface elevation were performed and included as a particular case.
Similar content being viewed by others
References
Chaudhuri K S,Appl. Sci. Res. 19 (1968) 274–284
Erdelyi A,Higher Transcendental Functions, Vols I & II (New York: McGraw-Hill) (1953)
Geisler J E, Linear theory of the response of a two-layer ocean to a moving hurricane,Geophys. Fluid Dynam,1 (1970) 249–272
Kisler V M,Prikl. Math. Mek (Translated asAppl. Math. Mech. 24 (1960) 496–503
Kranzer H C and Kellar J B, Water waves produced by explosions,J. Appl. Phys. 30 (1959) 398–407
Kynch G J, Blast waves in:Modern Developments in Fluid Dynamics (ed.) L Howarth, Vol. 1 (1953) pp. 146–157
MacRobert T M,Spherical Harmonics (Pergamon) (1947)
Mondal B N and Mukherjee S, Water waves generated at an inertial surface by an axisymmetric initial surface disturbance,Int. J. Math. Educ. Sci. Technol. 20 (1989) 743–747
Rumiantsev B N,Prik. Math. Mek. (Translated asAppl. Math. Mech.)24 (1960) 240–8
Sakurai A, Blast wave theory in:Basic developments in Fluid Dynamics (ed.) M Holt, Vol. 1, p. 320, (Academic Press) (1965)
Sen A R, Surface waves due to blasts on and above liquids,J. Fluid Mech. 16, pt 1, 65–81 (1963)
Stoker J J,Water Waves (New York: Interscience) (1957)
Taylor G I,Proc. R. Soc. London A201 (1950) 159
Wen S LInt. J. Math. Educ. Sci. Technol. 13 (1982) 55–58
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mondal, C.R. Surface waves due to blasts on and above inviscid liquids of finite depth. Proc. Indian Acad. Sci. (Math. Sci.) 105, 227–239 (1995). https://doi.org/10.1007/BF02880369
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02880369