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Asymptotic Wave Propagation in a non-Newtonian Compressible Fluid with Small Dissipation

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Abstract

The spherical motion of a non-Newtonian compressible fluid is considered and a reductive perturbation method is used to study the point-explosion problem. The material response functions involved in the model under consideration are assumed to be of polynomial form and the resulting Burgers-like equation which governs the far-field approximation is investigated. A qualitative analysis of this equation is made via a numerical integration.

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Currò, C., Valenti, G. Asymptotic Wave Propagation in a non-Newtonian Compressible Fluid with Small Dissipation. Journal of Engineering Mathematics 33, 403–419 (1998). https://doi.org/10.1023/A:1004326617677

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