Modal density function and number of propagating modes in ducts | Zendy

Edward J. Rice | Zendy

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Modal density function and number of propagating modes in ducts

Author(s) -

Edward J. Rice

Publication year - 1976

Publication title -

the journal of the acoustical society of america

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.619

H-Index - 187

eISSN - 1520-8524

pISSN - 0001-4966

DOI - 10.1121/1.2003098

Subject(s) - modal , cutoff , duct (anatomy) , eigenvalues and eigenvectors , acoustics , physics , mathematics , function (biology) , spinning , mathematical analysis , materials science , medicine , pathology , quantum mechanics , composite material , biology , evolutionary biology , polymer chemistry

Often raised questions in duct sound propagation studies involve the total number of propagating modes, the number of propagating radial modes for a particular spinning lobe number, and the number of modes possible between two given values of cutoff ratio or eigenvalue. These questions can be answered approximately by using the modal density function for ducts in a manner similar to that previously published for architectural acoustics. The modal density functions are given for rectangular and circular ducts with a uniform steady flow. Results from this continuous theory are compared to the actual (discrete) modal distributions.

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