Perturbation Field in The Presence of Uniform Mean Flow: Doppler Effect for Flows and Acoustics

TL;DR

This paper extends the perturbation equation for acoustic waves to include uniform mean flow, enabling analysis of the Doppler effect in flows and acoustics, building on previous work in quiescent media.

Contribution

It introduces a modified perturbation equation accounting for uniform mean flow, advancing the understanding of wave propagation and Doppler effects in flowing media.

Findings

Derived the perturbation equation with mean flow

Analyzed Doppler effect in flow conditions

Extended previous quiescent medium models

Abstract

Having developed the perturbation equation for a dissipative quiescent medium for planar propagation using the linearized compressible Navier-Stokes equation without the Stokes' hypothesis \cite{arxiv2023}, here the same is extended where a uniform mean flow is present in the ambiance to explore the propagation properties for the Doppler effect.