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Ultrasonic Wave Propagation in Liquid Electrically Conducting Media in a Constant External Magnetic Field

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The paper gives a theoretical analysis of the effect of an external constant magnetic field on the propagation of ultrasonic waves in electrically conducting liquids as well as the results of measurements carried out in mercury.

The theoretical part is based on Euler's equation, the equation of continuity, the thermodynamical equation, and Maxwell's equations. In the experimental part we propose and apply two methods for the measurement of the ultrasonic propagation velocity and its variations, as well as a pulse method (using analogue memory) for the determination of the amplitude absorption coefficient.

The correctness of the theoretical basis underlying the calculation of the small changes in propagation velocity induced by the magnetic field is confirmed by experiment. The experimentally determined amplitude absorption coefficient of the ultrasonic wave in the presence of the external magnetic field undergoes an enhancement which is in agreement with the theoretical predictions in the paper.

Zusammenfassung

Diese Arbeit bietet eine theoretische Untersuchung der Wirkung eines außeren konstanten magnetischen Feldes auf die Ausbreitung von Ultraschallwellen in elektrisch leitenden Flüssigkeiten, zusammen mit Meßergebnissen an Quecksilber.

Der theoretische Teil beruht auf der Euler'schen Gleichung, der Kontinuitätsgleichung, der thermodynamischen Gleichung und den Maxwell'schen Gleichungen. Im experimentellen Teil werden zwei Meßmethoden für die Ultraschallgeschwindigkeit und deren Änderungen vorgeschlagen und angewandt sowie eine Impulsmethode zur Bestimmung des Amplitudenabsorptionskoeffizienten unter Benutzung eines Analogspeichers.

Das Experiment bestätigt die Richtigkeit der theoretischen Grundlage, auf der die kleinen, durch das magnetische Feld bewirkten Änderungen der Ausbreitungsgeschwindigkeit berechnet werden. Experimentell ergibt sich, daß der Amplitudenabsorptionskoeffizient der Ultraschallwelle durch das äußere Magnetfeld erhöht wird in Übereinstimmung mit den theoretischen Vorhersagen.

Sommaire

Cet article fournit une analyse théorique de l'effet d' un champ magnétique externe constant sur la propagation d'ondes ultrasonores dans des liquides électriquement conducteurs, ainsi que des résultats de mesure effectuées sur du mercure.

La théorie est basée sur l' équation d'Euler, l'équation de continuité, l' équation de la thermodynamique et les équations de Maxwell. Dans la partie expérimentale, nous proposons et appliquons deux méthodes de mesure de la vitesse de propagation des ultrasons et de ses variations, ainsi qu'une méthode impulsionnelle pour la détermination du coefficient d'absorption en amplitude.

L'expérience confirme le bien-fondé de l'analyse théorique qui mène au calcul des petites variations de vitesse de propagation induites par le champ magnétique. On observe bien que, sous l'effet du champ magnétique, le coefficient d'absorption en amplitude de l'onde ultrasonore, déterminé expérimentalement, subit un accroissement en accord avec les prévisions théoriques.
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Document Type: Research Article

Publication date: March 1, 1995

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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