気流を伴う音響管の端面における音波の反射

概要

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Under the condition of sound power continuity, a theoretical investigation is made of the problem of the reflection of sound wave at the end of a pipe with fluid flow. When the Mach number of the flow towards the end of the pipe is M and the load impedance is (R+jX)Z_0 where Z_0 is the characteristic impedance of the pipe without flow, the reflection coefficient of sound pressure at the end is given by -[(1-M)/(1+M)][(1-R-jX)/(1+R+jX)]. The equivalent wave length in the pipe is shortened by (1-M^2), and the ratio of the sound pressure and the volume velocity at any cross section of the pipe is given by a virtual impedance which is the sum of the real impedance and MZ_0. For example, the virtual impedance at the end is (M+R+jX)Z_0. The sound power is given by |U_0|^2[R+(1+R^2+X^2)M/2]Z_0 where U_0 is the volume velocity at the end.
社団法人日本音響学会の論文
1978-12-01