Transfer matrix modeling of hyperbolic and parabolic ducts with incompressible mean flow

1991 ◽  
Vol 90 (4) ◽  
pp. 2163-2172 ◽  
Author(s):  
V. Easwaran ◽  
M. L. Munjal
2012 ◽  
Vol 5 (3) ◽  
pp. 317-321 ◽  
Author(s):  
Saeed Olyaee ◽  
Mohammad Soroosh ◽  
Mahdieh Izadpanah

2015 ◽  
Vol 6 (1) ◽  
pp. 1501345 ◽  
Author(s):  
Moritz Pfohl ◽  
Konstantin Glaser ◽  
Jens Ludwig ◽  
Daniel D. Tune ◽  
Simone Dehm ◽  
...  

Author(s):  
Paul D Metcalfe

The problem of a ribbed membrane or plate submerged in a fluid with mean flow is studied. We first derive a method which can be used to reduce this, and similar problems to a band matrix inversion. We then find the pass and stop band structure found in the case of static fluid persists when a mean flow is introduced, and we give an explanation in terms of the eigenvalues of the transfer matrix of the system. We then study disordered structures and observe the phenomenon of Anderson localization. In some parameter régimes the addition of disorder causes significant delocalization.


2012 ◽  
Vol 7 (2) ◽  
pp. 209-223
Author(s):  
Sam YANG ◽  
Fei LIU ◽  
Matias OYARZUN ◽  
Miguel PALAVICCINI ◽  
Louis CATTAFESTA

1987 ◽  
Vol 109 (4) ◽  
pp. 366-371 ◽  
Author(s):  
M. L. Munjal ◽  
U. S. Shirahatti

Mufflers with at least one acoustically absorptive duct are generally called dissipative mufflers. Generally, for want of systems approach, these mufflers are characterized by transmission loss of the lined duct with overriding corrections for the terminations, mean flow, etc. In this article, it is proposed that dissipative duct should be integrated with other muffler elements, source impedance and radiation impedance, by means of transfer matrix approach. Towards this end, the transfer matrix for rectangular duct with mean flow has been derived here, for the least attenuated mode. Mean flow introduces a coupling between transverse wave numbers and axial wave number, the evaluation of which therefore calls for simultaneous solution of two or three transcendental equations. This is done by means of a Newton-Raphson iteration scheme, which is illustrated here for square ducts lined with porous ceramic tiles.


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