Abstract
The radiation of sound waves from two coaxial circular cylindrical waveguides is discussed in this article. Both ducts are semi-infinite in length, one extending from Z = l to Z = -infinity and the other from Z = 0 to Z = +infinity, where z is a coordinate measured along the cylinders' axis. Waves are incident from z = -infinity inside the smaller radius duct and the reflected, transmitted and radiated fields are calculated here for the case when the waveguides are separated by a gap of arbitrary length \l\ (l <0). In the first part of this study (Lawrie et al., Wave Motion 18, 121-142 (1993)) the model was solved for overlapping pipes l > 0 by reducing the problem to a matrix Wiener-Hopf equation, which was solved by the introduction of an infinite constant vector satisfying a simple algebraic system of equations. This procedure does not follow through for the case of a gap, due to the presence of exponentially growing elements, and further analysis is required to solve for the Wiener-Hopf unknowns. Numerical results are presented here for a range of values of gap length and duct radii.
| Original language | English |
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| Pages (from-to) | 83-109 |
| Number of pages | 27 |
| Journal | Wave Motion |
| Volume | 19 |
| Issue number | 1 |
| Publication status | Published - 1994 |