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Exact(46)
The optimum design minimizes the acoustic energy scattered into the first radial mode.
The frequency and the radial mode order of the incident mode are varied.
This case corresponds to circular ducts below the cut-off frequency for the first radial mode.
The fifth and sixth radial mode are found to be preferred in the current example.
Fixed radial mode number m = 1 and azimuthal mode number spacing, Δl = 1, 2, 3, 4, 5 2.
This demonstrates that the separation of azimuthal mode numbers is insignificant when the radial mode number is increased.
Similar(14)
The white colored arrows represent the radial modes and gold colored arrows represent azimuthal modes.
The liner is axisymmetric, so modal scattering will be only between different radial modes.
(a) Schematic showing the splitting of doubly degenerate modes in circular heptamer to azimuthal and radial modes in nanorod heptamer.
A strong scattering of energy into higher radial modes is detected.
The effects of varying axial length and radial thickness on the vibrational modes are such that all modes can be broadly categorized as either pure radial modes, or non-pure radial modes.
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