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Transmission characteristics of a tee-junction in a rectangular duct at higher-order modes
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10.1121/1.3257209
/content/asa/journal/jasa/126/6/10.1121/1.3257209
http://aip.metastore.ingenta.com/content/asa/journal/jasa/126/6/10.1121/1.3257209

Figures

Image of FIG. 1.
FIG. 1.

Schematic diagram of sound transmission within a duct across a tee-junction, showing the employed coordinate system.

Image of FIG. 2.
FIG. 2.

Sound-power transmission and scattering across an infinitely long sidebranch along the main duct.(a) , (b) , and (c) . ; (– – – – –) ; ; ; (—) .

Image of FIG. 3.
FIG. 3.

Sound field around the tee-junction between the main duct and an infinitely long sidebranch with due to fundamental-mode excitation. (a) , pressure magnitude (Pa); (b) , particle-velocity profile (toward the sidebranch), ; (c) , pressure magnitude (Pa); (d) , particle-velocity profile (toward the sidebranch), . , , and are the density of the media , speed of sound in the media (m/s), and acoustic particle velocity (m/s), respectively.

Image of FIG. 4.
FIG. 4.

Sound-pressure field (Pa) around the tee-junction between the main duct and an infinitely long sidebranch with due to fundamental-mode excitation. (a) , (b) , and (c) .

Image of FIG. 5.
FIG. 5.

Sound-pressure field (Pa) around the tee-junction between the main duct and an infinitely long sidebranch due to unit (1,0) mode excitation. (a) , ; (b) , ; (c) , ; (d) , .

Image of FIG. 6.
FIG. 6.

Sound-power transmission and scattering across a closed sidebranch along the main duct. . [(a) and (b)] , [(c) and (d)] , and [(e) and (f)] . ; (– – – – –) ; ; ; (—) .

Image of FIG. 7.
FIG. 7.

Sound-pressure field (Pa) around the tee-junction between the main duct and a closed sidebranch due to fundamental-mode excitation, with . (a) ; ; (b) ; ; (c) , ; (d) , .

Image of FIG. 8.
FIG. 8.

Sound-pressure field (Pa) around the tee-junction between the main duct and a closed sidebranch due to fundamental-mode excitation, with . (a) , ; (b) , ; (c) , ; (d) , .

Image of FIG. 9.
FIG. 9.

Sound-pressure field (Pa) around the tee-junction between the main duct and a closed sidebranch due to unit (1,0) mode excitation, with . (a) , ; (b) , ; (c) , ; (d) , .

Image of FIG. 10.
FIG. 10.

Sound-power transmission and scattering across a closed sidebranch along the main duct, with . (a) , (b) , and (c) . ; (—) .

Image of FIG. 11.
FIG. 11.

Sound-power transmission and scattering across a tee-junction with anechoic termination along the main duct. (a) , (b) , (c) , and (d) . (—) measured data; (– – – – –) simulation results.

Image of FIG. 12.
FIG. 12.

Sound-power transmission and scattering across a 1-m-long closed tee-junction along the main duct. (a) , (b) , (c) , and (d) . (—) measured data; (– – – – –) simulation results.

Image of FIG. 13.
FIG. 13.

Experimental results of sound-power transmission and scattering across a 1-m-long closed tee-junction along the main duct. [(a) and (b)] and across a tee-junction with anechoic termination along the main duct, respectively; [(c) and (d)] and across a 1-m-long closed tee-junction along the main duct, respectively. (—) measured data; (– – – – –) simulation results.

Tables

Generic image for table
TABLE I.

Eigen-frequencies, , of the duct normalized by the first eigen-frequency, .

Generic image for table
TABLE II.

Locations of microphones within the duct (mm).

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/content/asa/journal/jasa/126/6/10.1121/1.3257209
2009-12-14
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Transmission characteristics of a tee-junction in a rectangular duct at higher-order modes
http://aip.metastore.ingenta.com/content/asa/journal/jasa/126/6/10.1121/1.3257209
10.1121/1.3257209
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