Influence Of Linear And Non-linear Constitutive
Models On Thermoacoustic Waves In An Enclosure
Author(s)
L. Skerget & J. Ravnik
Abstract
The problem of unsteady compressible fluid flow in an enclosure induced by thermoacoustic
waves is studied numerically. Full compressible set of Navier-Stokes
equations are considered and numerically solved by boundary-domain integral
equations approach, coupled with wavelet compression and domain decomposition
to achieve numerical efficiency. The thermal energy equation is written in
its most general form including the Rayleigh and reversible expansion rate terms.
Both the classical Fourier heat flux model and wave heat conduction model are
investigated. The momentum flux is modelled using standard Newtonian viscous
model and linear viscoelastic Maxwell model.
The velocity-vorticity formulation of the governing Navier-Stokes equations
is employed, while the pressure field is evaluated from the corresponding pressure
Poisson equation. Material properties are taken to be for the perfect gas and
assumed to be pressure and temperature dependent.
Keywords: compressible fluid flow, velocity-vorticity formulation, Navier-Stokes
equations, thermoacoustic waves.
1 Introduction
In the paper the generation and transmission of thermoacoustic waves in an perfect
gas filled closed cavity is studied numerically. When a compressible fluid is
subjected to a rapid increase in temperature at a solid wall, a sudden expansion
of the adjacent gas occurs. This phenomenon generates a fast increase in the local
pressure and leads to the production of pressure waves. These thermally generated
waves are referred to as thermoacoustic waves.
Thermoacoustic transport phenomena may be very interesting, when the fluid is
close to thermodynamic critical point or when othermodes of transportmechanism
Keywords
compressible fluid flow, velocity-vorticity formulation, Navier-Stokes
equations, thermoacoustic waves.
Related Book
Other papers in this volume
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