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Research Papers

Analytical Prediction of Transmission Loss in Distorted Circular Chamber Mufflers With Extended Inlet/Outlet Ports by Using a Regular Perturbation Method

[+] Author and Article Information
Subhabrata Banerjee

Department of Mechanical Science
and Engineering,
University of Illinois at Urbana–Champaign,
1206 West Green Street,
Urbana, IL 61801
e-mail: banerje6@illinois.edu

Anthony M. Jacobi

Professor
Department of Mechanical Science
and Engineering,
University of Illinois at Urbana–Champaign,
1206 West Green Street,
Urbana, IL 61801
e-mail: a-jacobi@illinois.edu

1Corresponding author.

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received August 31, 2014; final manuscript received March 24, 2015; published online July 9, 2015. Assoc. Editor: Lonny Thompson.

J. Vib. Acoust 137(6), 061002 (Dec 01, 2015) (9 pages) Paper No: VIB-14-1328; doi: 10.1115/1.4030717 History: Received August 31, 2014; Revised March 24, 2015; Online July 09, 2015

The sound attenuation performance in elliptic chamber mufflers with extended inlet and outlet ports is investigated in the present work. Unlike cylindrical geometries, the ellipticity of the chamber prevents development of analytical solutions in terms of the elliptic eigenfunctions. In order to overcome this geometric limitation, a perturbation-based approach is adopted through this work. For moderate chamber eccentricities, transmission loss (TL) curves derived through the perturbed eigensolutions are observed to compare well with numerical simulations. The effects of higher-order propagating modes on the TL curves, which otherwise are nonpropagating for the corresponding cylindrical chamber extended muffler are discussed. Parametric studies on different tuned duct extensions are presented to show broadband sound attenuation.

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References

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Selamet, A., and Denia, F. D., 2001, “Acoustic Behaviour of Short Elliptical Chambers With End-Central Inlet and End Offset or Side Outlet,” J. Sound Vib., 245(5), pp. 953–959. [CrossRef]
Banerjee, S., and Jacobi, A. M., 2011, “Analysis of Sound Attenuation in Elliptical Chamber Mufflers by Using Green’s Function,” ASME Paper No. IMECE2011-65345. [CrossRef]
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Banerjee, S., and Jacobi, A. M., 2014, “Determination of Transmission Loss in Distorted Circular Mufflers Using a Regular Perturbation Method,” ASME J. Vib. Acoust., 136(2), p. 021013. [CrossRef]
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Figures

Grahic Jump Location
Fig. 1

Schematic of an annular perturbed cylinder

Grahic Jump Location
Fig. 2

Schematic of an extended tube muffler with elliptic chamber

Grahic Jump Location
Fig. 3

TL in an elliptic chamber muffler with extended inlet/outlet ports: L = 25 cm, LB = 5 cm, LD = 0 cm, d1=d2=3.3 cm, e=0.6, and a = 10 cm; —————, perturbation result; -o-o-o-o-, finite element method (FEM) result; and -·-·-, plane-wave with end corrections [5]

Grahic Jump Location
Fig. 4

TL in an elliptic chamber muffler with extended inlet/outlet ports: L = 25 cm, LB = 10 cm, LD = 0 cm, d1=d2=3.3 cm, e=0.6, and a = 10 cm; ————, perturbation result; -o-o-o-o-, FEM result; and -·-·-, plane-wave with end corrections [5]

Grahic Jump Location
Fig. 5

TL in an elliptic chamber muffler with extended inlet/outlet ports: L = 25 cm, LB = 5 cm, LD = 5 cm, d1=d2=3.3 cm, e=0.6, and a = 10 cm; ————, perturbation result; -o-o-o-o-, FEM result; and -·-·-, plane-wave with end corrections [5]

Grahic Jump Location
Fig. 6

TL in an elliptic chamber muffler with extended inlet/outlet ports: L = 25 cm, d1=d2=3.3 cm, e=0.6, and a = 10 cm; -⊖-⊖-⊖-⊖-, LB=5.5 cm, LD = 0 cm; -⊟-⊟-⊟-⊟-, LB=11.6 cm, LD = 0 cm; and ———, LB=11.6 cm, LD=5.5 cm

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