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Sound Propagation in Ideal Channels and Tubes

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Book cover The Foundations of Acoustics

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Abstract

Let us first consider an infinitely wide channel, so that the solution depends only on x and z 1. The two-dimensional solution of the wave equation that represents standing waves in the x direction and progressive waves in the z direction is

$$ \tilde p = \bar A\cos ({k_x}x + {\varphi _x}){e^{ - j{k_z}z + j\omega t}}, $$
(1)

where

$$ {k^2} = \frac{{{\omega ^2}}}{{{c^2}}} = {k_{{x^2}}} + {k_{{z^2}}}. $$
(2)

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  1. Ordnance Research Laboratory and Physics Department, The Pennsylvania State University, University Park, Pa., USA

    Eugen Skudrzyk (Professor of Physics)

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Skudrzyk, E. (1971). Sound Propagation in Ideal Channels and Tubes. In: The Foundations of Acoustics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8255-0_18

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  • DOI: https://doi.org/10.1007/978-3-7091-8255-0_18

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