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La génération de bruit par conduction thermique

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Abstract:

A theoretical study is presented of a particular case of sound emission by instant thermal conduction. Starting with the general linear equations of acoustics which characterise a fluid medium at rest, the acoustic field is determined which is produced by a wall whose surface temperature varies harmonically with time. It is assumed that the heat transfer is carried out uniquely by thermal conduction, the source of heat being dependent only on any force or natural convection phenomenon: The limited non-stationary thermal layers thus built-up cause alternate compression and expansion of the gas contained by the layers — it creates a progressive wave. The calculation of the equivalent acoustic mass shows the monopolar character of such a source. The analytical solutions are given of the different magnitudes which characterise the phenomena (pressure, velocity, temperature and acoustic intensity), then the numerical calculations are explicitly carried out for the plane and circular cylinder cases.

Sommaire

On présente l'étude théorique d'un cas particulier d'émission sonore par conduction thermique instationnaire. A partir des équations générates de l'acoustique linéaire qui caractérisent un milieu fluide au repos, on détermine le champ acoustique produit par une paroi dont la température de surface varie harmoniquement dans le temps. On suppose que le transfert thermique se fait uniquement par conduction, la source de chaleur n'étant soumise à aucun phénomène de convection forcée ou naturelle. Les couches limites thermiques instationnaires ainsi créées provoquent alternativement la compression et la dilatation du gaz qu'elles contiennent, et créent une onde progressive. Le calcul du débit massique acoustique montre le caractère monopôlaire d'une telle source. On donne les solutions analytiques des différentes grandeurs qui caractérisent le phénomène (pression, vitesse, température et intensité acoustique), puis on effectue explicitement les calculs numériques dans les cas plan et cylindrique circulaire.

Zusammenfassung

In dieser Arbeit wird eine theoretische Untersuchung eines Sonderfalles der Schallemission durch instationäre Wärmeleitung vorgestellt. Auf der Grundlage der allgemeinen Gleichungen der linearen Akustik für ein ruhendes fluides Medium wird das Schallfeld bestimmt, das von einer Fläche mit harmonisch veränderlicher Oberflächentemperatur erzeugt wird. Es wird angenommen, daß der Wärmeübergang ausschließlich durch Wärmeleitung erfolgt, daß die Wärmequelle also nicht irgendwelchen erzwüngenen oder natürlichen Konvektionserscheinungen unterliegt. Die so definierten thermischen, instationären Randbedingungen rufen abwechselnd Verdichtungen und Verdünnungen des angrenzenden Gases hervor und erzeugen eine fortschreibende Welle. Durch Berechnung des Massendurchsatzes wird der Monopolcharakter einer solchen Quelle nachgewiesen. Es werden die analytischen Lösungen für die verschiedenen charakteristischen Größen angegeben (Druck, Schnelle, Temperatur und Schallintensität), danach werden explizite numerische Berechnungen für den ebenen und zylindrischen Fall durchgeführt.

Document Type: Research Article

Publication date: January 1, 1986

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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