A Scalar Acoustic Equation for Gases, Liquids, and Solids, Including Viscoelastic Media
Artikel i vetenskaplig tidskrift, 2014

The work deals with a mathematical model for real-time acoustic monitoring of material parameters of media in multi-state viscoelastic engineering systems continuously operating in irregular external environments (e.g., wind turbines in cold climate areas, aircrafts, etc.). This monitoring is a high-reliability time-critical task. The work consistently derives a scalar wave PDE of the Stokes type for the non-equilibrium part (NEP) of the average normal stress in a medium. The explicit expression for the NEP of the corresponding pressure and the solution-adequateness condition are also obtained. The derived Stokes-type wave equation includes the stress relaxation time and is applicable to gases, liquids, and solids.

Stress Relaxation

Gas

Visoelastic Media

Acoustic Monitoring

Acoustic Equation

or Solid

Liquid

Författare

Eugen Mamontov

Viktor Berbyuk

Chalmers, Tillämpad mekanik, Dynamik

Journal of Applied Mathematics and Physics

2327-4379 (eISSN)

Vol. 2 960-970

Styrkeområden

Energi

Fundament

Grundläggande vetenskaper

Ämneskategorier

Strömningsmekanik och akustik

DOI

10.4236/jamp.2014.210109