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Surface waves due to blasts on and above liquids

Published online by Cambridge University Press:  28 March 2006

A. R. Sen
Affiliation:
Department of Mathematics, Jadavpur University, Calcutta

Abstract

The problem of surface waves due to the interaction of a blast-generated shock wave with an ideal incompressible heavy (or light) fluid of infinite depth has been investigated in both two and three dimensions. The wave integrals have been evaluated exactly for arbitrary as well as special pressure distributions on the fluid surface. Asymptotic values of the surface wave elevation have been obtained for large values of time at a large distance from the seat of the applied pressure. Certain peculiarities of the motion are discussed.

Type
Research Article
Copyright
© 1963 Cambridge University Press

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References

Erdélyi, A. (ed.) 1953 Higher Transcendental Functions, vol. I-III. New York: McGraw-Hill.
Erdélyi, A. (ed.) 1954 Tables of Integral Transforms, vol. I-II. New York: McGraw-Hill.
Kisler, V. M. 1960 Prikl. Math. Mek. 24, 496503.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Rumiantsev, B. N. 1960 Prikl. Math. Mek. 24, 240248.
Ryshik, I. M. & Gradstein, I. S. 1957 Tables of Series, Products and Integrals. Berlin: Veb Deutscher Verlag der Wissenschaften.
Whittaker, E. T. & Watson, G. N. 1952 Modern Analysis. Cambridge University Press.