軸方向に大きな温度勾配をもつ細い管の中の音波(波動・音・衝撃波(3),一般講演)

概要

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Sound in a narrow tube with a temperature gradient in its axial direction is studied theoretically. The tube is assumed to be two-dimensional for simplicity, and the spacing between upper and lower walls is comparable with the thickness of the boundary layer. For a given complex frequency, the velocity, pressure, density, and temperature are completely determined except for spatial profile of sound. From the boundary condition for the velocity component normal to the tube walls, an integro-differential equation for spatial profile of sound is derived. For various situations, the relation between the spatial profile and the complex frequency is examined, and the occurrence of thermoacoustic instability is discussed.
日本流体力学会の論文
2007-08-06