A frequency domain linearized Navier–Stokes equations approach to acoustic propagation in flow ducts with sharp edges

• DOI: 10.1121/1.3273899
• Publication Date: 2010-02-05T23:58:20Z
• Authors: Axel Kierkegaard; Susann Boij; Gunilla Efraimsson
• Keywords: 0103 physical sciences; 01 natural sciences

Acoustic wave propagation in flow ducts is commonly modeled with time-domain non-linear Navier–Stokes equation methodologies. To reduce computational effort, investigations of a linearized approach in frequency domain are carried out. Calculations of sound wave propagation in a straight duct are presented with an orifice plate and a mean flow present. Results of transmission and reflections at the orifice are presented on a two-port scattering matrix form and are compared to measurements with good agreement. The wave propagation is modeled with a frequency domain linearized Navier–Stokes equation methodology. This methodology is found to be efficient for cases where the acoustic field does not alter the mean flow field, i.e., when whistling does not occur.