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The Sound Field of a Source That Executes in a Liquid Layer a Motion Represented as the Sum of a Subsonic Uniform Rectilinear Motion and a Periodic Motion. Exact (Explicit) Solutions

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Abstract

The problem on the sound field generated in a liquid layer by a moving point source that was turned on at a moment infinitely distant in the past is considered. Properties of the layer and the source under consideration are chosen in such a way that the solution of the problem can be constructed in the form of a triple series, separating variables in a moving coordinate system. The expressions obtained for the terms of this series (for normal waves) are not only exact but also explicit outside a neighborhood of the source in the sense that they are products of elementary and known functions of coordinates and time. Bibliography: 10 titles.

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  1. St.Petersburg State University, Russia

    A. V. Sokolov

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  1. A. V. Sokolov
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Sokolov, A.V. The Sound Field of a Source That Executes in a Liquid Layer a Motion Represented as the Sum of a Subsonic Uniform Rectilinear Motion and a Periodic Motion. Exact (Explicit) Solutions. Journal of Mathematical Sciences 117, 4020–4027 (2003). https://doi.org/10.1023/A:1024635329020

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