Modeling of silencer by using various porous materials in a trifurcated waveguide structure

Researchers in applied mathematics, physics, and engineering are investigating how to reduce unwanted or ravage noise to an acceptable level. This article describes a trifurcated waveguide structure that has soft upper boundary surfaces and rigid lower boundary surfaces with different porosity effects. There is an asymmetrical arrangement of ducts around the x-axis. There is a major problem in determining how scattered fields behave in different duct areas that are subject to a variety of material attributes for walled ducts. In standard practice, the mode -matching method can be used to address governing system arising from the Sturm-Liouville eigenvalue problem. The scattering configuration for A-glass, Basalt Wool, E-glass, and Steel Wool types of porous materials is examined for different settings of the underlying structure in order to analyze noise effects. It is pertinent to predict the bulk acoustic properties at frequencies below the range in which standard measurement methods are capable of measuring in many acoustic modeling applications. A semi-analytical method for porous media is presented here that provides physically feasible predictions of bulk properties at arbitrarily low frequencies, as well as reasonable predictions of bulk properties at higher frequencies. A close relationship exists between silencer geometries and underlying structures from a practical perspective.