scholarly journals Complex WGM frequencies of gyroelectric cylindrical resonators

Author(s):  
Konstantinos Katsinos ◽  
Grigorios P. Zouros ◽  
Georgios D. Kolezas ◽  
Gerasimos K. Pagiatakis ◽  
John A. Roumeliotis
Author(s):  
Dion Savio Antao ◽  
Bakhtier Farouk

A numerical study of non-linear, high amplitude standing waves in non-cylindrical circular resonators is reported here. These waves are shock-less and can generate peak acoustic overpressures that can exceed the ambient pressure by three/four times its nominal value. A high fidelity compressible computational fluid dynamic model is used to simulate the phenomena in cylindrical and arbitrarily shaped axisymmetric resonators. A right circular cylinder and frustum of cone are the two geometries studied. The model is validated using past numerical and experimental results of standing waves in cylindrical resonators. The non-linear nature of the harmonic response of the frustum of cone resonator system is investigated for two different working fluids (carbon dioxide and argon) operating at various values of piston amplitude. The high amplitude non-linear oscillations demonstrated can be used as a prime mover in a variety of applications including thermoacoustic cryocooling.


1897 ◽  
Vol 21 ◽  
pp. 44-44
Author(s):  
John G. McKendrick

Dr M'Kendrick showed this apparatus as made by Dr R. Koenig. It consists of four small and light cylindrical resonators, made of aluminium, tuned to Ut4 = 512 vibs. p. sec., attached to the ends of four light bars forming a cross. The cross, carrying the resonators, is balanced on a fine pivot placed vertically. When the fork is sounded (by an electro-magnet between the limbs) the cross carrying the four resonators begins to rotate. The motion arises from the greater pressure at the node at the closed end in the interior of the resonator nearest the source of sound than on the outer surface of this end. If the mouth of the cylinder is directed towards the source of sound, the resonator is repelled by the greater pressure within. The next resonator is slightly attracted, but it is brought within the sphere of greater pressure mainly by the inertia of the first resonator, and so on.


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