Premium
Wavemechanics of Compressible Fluids
Author(s) -
Wilhelm H. E.
Publication year - 1971
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.19710510407
Subject(s) - compressibility , compressible flow , dissipation , nonlinear system , classical mechanics , scalar (mathematics) , transformation (genetics) , physics , mathematical analysis , conservation of mass , mechanics , mathematics , thermodynamics , geometry , quantum mechanics , biochemistry , chemistry , gene
It is shown that the complete set of nonlinear conservation equations for mass, vector momentum, and energy of compressible, dissipation‐free fluids can be transformed into a complex, scalar wave equation. The latter contains only a single nonlinear term which has the meaning of a pressure potential. Thus the transformation leads to a considerable simplification in the mathematical description of compressible fluids. As a concrete illustration of the wavemechanical formulation, the dispersion of acoustic waves is treated briefly.