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Mode matching analysis for wave scattering in triple and pentafurcated spaced ducts
Author(s) -
Meylan Michael H.,
Bashir Amna,
M Sumbul
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3751
Subject(s) - eigenfunction , mathematics , matching (statistics) , mode (computer interface) , scattering , flow (mathematics) , mathematical analysis , eigenvalues and eigenvectors , geometry , computer science , physics , optics , quantum mechanics , statistics , operating system
We present solutions to both trifurcated and pentafurcated spaced waveguides using the mode matching (or eigenfunction expansion) method. While the trifurcated problem with mean fluid flow has been solved previously using the Wiener–Hopf technique, we solve this problem to validate and demonstrate our method. We then show how we can easily generalize the method to the pentafurcated problem that has not been solved previously. We observe that mode matching method is easier to derive and generalize than the Wiener–Hopf technique. We also investigate the numerical solution in detail for various geometries to model practical exhaust systems. Copyright © 2015 John Wiley & Sons, Ltd.