Abstract
Analytical approximations and numerical solutions exhibiting oscillatory shock formation in mono‐relaxing fluids have been obtained for plane and spherical finite‐amplitude waves. By comparing these results with previously reported oscillatory solutions of the Korteweg—de Vries (K—dV) and K—dV—Burgers' equation for plane wave propagation in a purely dispersive medium, necessary conditions have been established for the formation of osciliatory shock waves in mono‐relaxing fluids. These conditions which are expressed in the form of dimensionless parameters of the medium and the propagating wave have been evaluated for particular relaxing fluid media. Several examples of the radiated intensities required to realize oscillatory acoustic shock waves at selected frequencies in such media will be provided. The “solitonlike” property of these oscillatory shock waves and those of the ideal “soliton” solutions of the longless K—dV equation will then be considered.
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