Abstract
Propagation of long waves (very low frequencies) in curved ducts has been solved analytically and the results published [82nd Meeting of the ASA, J. Acoust. Soc. Amer. 51, 154(A) (1972)]. It was found that the basic mode of propagation is characterized by a wave pattern totally different from that known in a straight duct. To examine the propagation of shorter waves, in the acoustical frequency range, a systematic study of the pattern of higher modes has been done. Fact solutions up to the fourth mode are presented. Analysis applies to ducts with long and short radii of curvature of arbitrary width. The results are compared with propagation in a straight duct and important differences in the behavior of waves are noted. Analysis was made possible by the use of Bessel functions of the order (n + 12).
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