International Journal of Fluid Mechanics Research
Erscheint 6 Ausgaben pro Jahr
ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110
IF:
1.1
5-Year IF:
1.3
Eigenfactor:
0.0002
JCI:
0.33
SJR:
0.256
SNIP:
0.49
CiteScore™::
2.4
H-Index:
23
Indexed in
Violation of the Solution Superposition Principle for the Initial-Boundary Problem with Mobile Boundaries for Wave Equation
Volumen 31,
Ausgabe 4, 2004,
7 pages
DOI: 10.1615/InterJFluidMechRes.v31.i4.70
ABSTRAKT
Violation of the superposition principle when allowing for moving boundaries, even in the case of a linear wave equation, is shown on an example of analytical solution of the initial-boundary problem on acoustic wave radiation by a moving plane piston. The developed solution for the piston motion, represented as a superposition of low-amplitude oscillations upon the constant velocity, describes the well-known Doppler effect. All results are obtained on the basis of the non-linear time transformation technique.
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