On mode-matching analysis of fluid-structure coupled wave scattering between two flexible waveguides

Abstract

A mode-matching analysis articulates the coupled wave scattering in a 2D waveguide structure. An elastic plate is attached at the upper surface parallel to the axis of inlet/outlet ducts whereas a ‡anged junction is introduced between two ‡exible waveguides. The main intention is to see that how choice of appropriate edge conditions and the incident forcing a¤ect the scattered …eld for both structure-borne and ‡uid-borne vibrations. The graphical results illustrate to draw di¤erent physical conclusions. Through apposite numerical results, we observe the power distributions in attenuated regions with abrupt changes of height. Such con…gurations are directly relevant to the models of ‡uid/structural interactions.

On the attenuation of fluid–structure coupled modes in a non-planar waveguide

“…The boundary value problem is non-dimensionalized with respect to the typical length scale k - 1 = c ∕ ω , where ω = 2 π f , in which frequency f (measured in Hz) and time scale ω - 1 , along with their dimensional counterparts, are defined by x = k x ¯ , y = kȳ , and t = k t ¯ . The transformation is already available in the literature [13–20]. Thus, the time-independent dimensionless fluid potential ϕ satisfies the Helmholtz equation with unit wavenumber, that is,…”

“…More recently, Nawaz and Lawrie [15] presented an analysis of an elastic plate bounded channel along with a flange inclusion, wherein the edge conditions were assumed to be welded, riveted, or pivoted. Likewise, Afzal et al [16] and Shafique et al [17] discussed acoustic scattering in a plate- or membrane-bounded flanged waveguide, using a mode-matching technique.…”

Wave scattering of non-planar trifurcated waveguide by varying the incident through multiple regions

“…To obtain a similar expression for B n , substituting equations (11) and (13) in equation 8and using equation 15gives…”

“…The bifurcated, trifurcated and pentafurcated waveguide problems have been investigated with planar boundaries by many researchers, for example. [7][8][9][10][11][12][13][14][15][16] A variety of techniques have been employed by various researchers to cope with the problems relating to the minimization of unwanted sound, for example refer to Williams et al 17 Wang and Huang. 18 Hassan et al has investigated a pentafurcated waveguide with soft-hard boundaries.…”

Mode-Matching Analysis of Acoustic Wave Propagation along a Rigid Coaxial Pipe with an Internal Impedance Loading

“…One of the most effective methods is the Mode-Matching or eigenfunction expansion technique, which is based on representing the unknown fields in terms of an infinite sum of orthogonal functions in the individual regions and then matching them across the boundaries between these regions. This method has been applied in many papers [9][10][11][12][13] and give accurate results.…”