The use of the transfer matrix method to predict the effective fluid properties of acoustical systems

The transfer matrix method (TMM) is a common for the modelling of acoustical systems. Traditionally, this requires each unique layer within system to be defined by and then multiplied together in sequential order system. Whilst resulting can used find effective material properties modelled system, analytical expressions these are often unwieldy use. Here, simplified approach proposed obtain simple low frequency regime systems based on components TMM inspired Champoux Stinson model. It was shown that approximation matches fluid cylindrical rigid tortuous pore derived with Using approach, waveguide constant cross section, side-loaded an arbitrary number Helmholtz resonators, were derived. These validated against traditional numerical computation. result work offers general provides approximations media which consist complicated networks pores or side-branches.