Wave propagation in curved waveguides of rectangular cross section

1999 ◽  
Vol 47 (7) ◽  
pp. 965-972 ◽  
Author(s):  
P. Cornet ◽  
R. Dusseaux ◽  
J. Chandezon
1966 ◽  
Vol 33 (3) ◽  
pp. 489-495 ◽  
Author(s):  
M. A. Medick

A method for constructing rational, one-dimensional theories of various orders of approximation, descriptive of wave propagation and vibrations in anisotropic elastic bars of rectangular cross section, is presented. As illustrations, several approximate theories are derived which are applicable to extensional motion in rectangular bars of isotropic material.


2012 ◽  
Vol 159 (2) ◽  
pp. 859-869 ◽  
Author(s):  
Hisahiro Nakayama ◽  
Takahiro Moriya ◽  
Jiro Kasahara ◽  
Akiko Matsuo ◽  
Yuya Sasamoto ◽  
...  

1975 ◽  
Vol 70 (4) ◽  
pp. 721-731 ◽  
Author(s):  
Shigeki Morioka ◽  
Goichi Matsui

Pressure-wave propagation through a separated gas-liquid layer at rest in a duct of constant rectangular cross-section and infinite length is considered. Such a system is dispersive, possessing an infinite number of modes which depend on the ratios of the densities, thicknesses and sound speeds of the two phases. The transitional variation of an infinitesimal disturbance initially having a step profile is investigated analytically and numerically. In addition, it is shown that a weak but finite disturbance is described asymptotically by the solution of the Korteweg-de Vries equation.


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