On the diffraction of sound waves in a viscous medium

J.B. Alblas

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    Abstract

    The theory of the diffraction of a sound wave at a half-plane barrier is extended to the case of propagation in a viscous medium. It is shown that the singularity in the velocity near the edge of the barrier, a characteristic feature of the classical second order theory, disappears. In the neighbourhood of the edge the velocity attains its maximum, the value of which is determined by a reciprocal power of the viscosity. In the far field a viscous wave occurs, the amplitude of which is proportional to the square root of the viscosity, in contrast to the second order theory, where the introduction of a viscosity gives rise to a linear dependence.
    Original languageEnglish
    Pages (from-to)237-262
    Number of pages26
    JournalApplied Scientific Research, Section A : Mechanics, Heat, Chemical Engineering, Mathematical Methods
    Volume6
    Issue number4
    Publication statusPublished - 1957

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