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Propagation of Sonic Waves in Radiating Gases
Author(s) -
Srinivasan S.,
Ram Rishi
Publication year - 1977
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/zamm.19770570310
Subject(s) - discontinuity (linguistics) , physics , shock wave , wave propagation , mechanics , plane wave , longitudinal wave , radiative transfer , plane (geometry) , sonic boom , classical mechanics , acoustics , mathematical analysis , optics , geometry , mathematics , supersonic speed
The paper discusses the propagation of a sonic discontinuity in a radiating gas. The velocity of propagation is determined and it is shown that the velocity of propagation of the sonic discontinuity is not influenced by the radiative heat transfer under thin gas approximation. The fundamental differential equations governing the growth of the sonic discontinuity are obtained and solved. It is concluded that if the sonic discontinuity is a compressive wave of order 1, then it terminates into a shock wave after a critical time t c which has been determined. But on the other hand, if it is an expansion wave of order 1, it will decay and be damped out ultimately. Particular cases of plane and spherical wave fronts have been discussed in details.