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Propagation and Interaction of Waves in a Non‐ideal Gas
Author(s) -
Jena J.,
Sharma V.D.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200106)81:6<417::aid-zamm417>3.0.co;2-9
Subject(s) - ideal (ethics) , ideal gas , mechanics , physics , acoustics , classical mechanics , philosophy , epistemology
The propagation of disturbances through a non‐ideal medium, where the solid behaves like a fluid with an equation of state of Mie‐Grüneisen type is considered. The method of relatively undistorted waves is used to study the situations when the disturbance amplitude is finite, arbitrarily small, and not so small. The effects of the solid particles and that of the non‐planar wave front configuration on the distortion attenuation, and shock formation of propagating pulses are described in detail. The resonant multiwave theory of weakly nonlinear geometrical optics, which takes into consideration systems where many waves coexist and interact with one another resonantly, is applied to derive transport equations for signals having all possible wave modes which are mutually coupled and interact resonantly among themselves.