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Acoustic Analysis and Design of Short Elliptical End-Chamber Mufflers (Paperback, 1st ed. 2021)
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Acoustic Analysis and Design of Short Elliptical End-Chamber Mufflers (Paperback, 1st ed. 2021)
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This book presents a three-dimensional analysis of acoustic wave
propagation in an elliptical waveguide, and applies the equations
and concepts to design axially short elliptical end-chamber muffler
configurations which are an important component of a complex
multi-pass muffler used in a modern-day automotive exhaust system.
A general solution of the Helmholtz equation in elliptical
cylindrical co-ordinates is presented in terms of the Mathieu and
modified Mathieu modal functions. This is followed by the
tabulation and analysis, for the first time, of the non-dimensional
resonance frequencies of the transverse modes of a rigid-wall
elliptical waveguide for a complete range of aspect ratio. The
modal shape patterns of the first few circumferential, radial and
cross-modes are examined with particular attention to the pressure
nodal ellipses and hyperbolae. An analytical formulation is then
outlined for characterizing a single-inlet and single-outlet
elliptical muffler with the inlet located on the end face and the
outlet located either on the end face or side-surface. The ensuing
chapter is devoted toward analyzing the Transmission Loss (TL)
performance of different short end-chamber mufflers, namely (a) the
straight-flow configuration having ports located on the opposite
face, (b) the flow-reversal configuration with ports located on the
same end face and (c) configuration with inlet port on the end face
and outlet on the side surface. Design guidelines are formulated in
terms of the optimal location of inlet and outlet ports which
suppresses the deteriorating influence of certain higher-order
modes, thereby delivering a broadband TL performance. Directions
for future work are discussed toward the end. In summary, this book
is a one-stop solution for a practicing automotive engineer
designing mufflers, for an applied mathematician studying wave
propagation in elliptical geometries, and also as a niche area
within noise control engineering.
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