Check on a nonlocal Maxwellian theory of sound propagation in fluid-saturated rigid-framed porous media

• A nonlocal theory of sound propagation in porous media is validated.
• Porous media are rigid-framed and saturated with a viscothermal fluid.
• The validation geometry is taken to be cylindrical circular tubes.
• Results of nonlocal theory match with those of Kirchhoff’s exact solutions.
• Results based on Zwikker and Kosten’s local theory are also presented.

A macroscopic nonlocal theory of sound propagation in homogeneous rigid-framed porous media permeated with a viscothermal fluid has been recently proposed in this journal. It accounts for the first time for the full temporal and spatial dispersion effects, independently of the nature of the microgeometry. In this paper this new Maxwellian theory is validated in the case of sound propagation in cylindrical circular tubes, by showing that it matches exactly the long-known direct Kirchhoff–Langevin’s solutions.