A new approach to the effect of sound on vortex dynamics
作者:
Fernando Lund,
Norman J. Zabusky,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1987)
卷期:
Volume 30,
issue 8
页码: 2306-2307
ISSN:0031-9171
年代: 1987
DOI:10.1063/1.866119
出版商: AIP
数据来源: AIP
摘要:
Two questions are asked, and answered, concerning the dynamics of vortex filaments in a three‐dimensional slightly compressible fluid with constant sound speed: What is the flow (including the sound) generated by a vortex in prescribed motion? What is the response of a test vortex to an external flow? The first question is answered by a convolution of a Green’s function with a source localized at the filament; the second by a differential equation valid in the localized induction approximation. A variational principle encompassing both problems is also provided.
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