Mode matching analysis for wave scattering in triple and pentafurcated spaced ducts |
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Authors: | Mahmood‐ul‐Hassan Michael H. Meylan Amna Bashir Sumbul M |
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Affiliation: | 1. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan;2. School of Mathematical and Physical Sciences, The University of Newcastle, Callaghan, NSW, Australia |
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Abstract: | 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. |
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Keywords: | waveguide eigenfunction expansion scattering trifurcated pentafurcated |
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