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Large amplitude waves in stratified media: acoustic pulses

Published online by Cambridge University Press:  29 March 2006

E. Varley  and
E. Cumberbatch
E. Varley
Affiliation:
Center for the Application of Mathematics, Lehigh University
E. Cumberbatch
Affiliation:
Department of Mathematics, Purdue University
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Abstract

A general theory is presented which describes disturbances generated by large amplitude, high frequency pulses in stratified media. The theory is used to discuss large amplitude, but shockless, acoustic pulses propagating under the influence of a constant gravity force into an atmosphere which need not be in thermal equilibrium before their arrival.

The modulating influences of pressure and temperature stratification on the amplitudes of such pulses as they move towards or away from earth are described in detail.

The paper generalizes techniques already established by Whitham (1956) so that they are applicable to disturbances of any amplitude.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 43 , Issue 3 , 16 September 1970 , pp. 513 - 537
Copyright
© 1970 Cambridge University Press

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References

Varley, E. & Cumberbatch, E. 1965 J. Inst. Maths. Applics. 1, 101–112.
Varley, E. & Cumberbatch, E. 1966 J. Inst. Maths. Applics. 2, 133–143.
Whitham, G. B. 1953 Comm. Pure Appl. Math. 6, 397–414.
Whitham, G. B. 1956 J. Fluid Mech. 1, 290–318.