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Effects of temperature gradient on the propagation of an acoustic solitary wave in an air-filled tube

机译:温度梯度对充气管中声学孤立波传播的影响

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This paper examines effects of temperature gradient on the propagation of an acoustic solitary wave in an air-filled tube with an array of Helmholtz resonators. With neglect of viscosity and heat conduction, interest is focused on the effects due to axial nonuniformity of the temperature and density of air in undisturbed state. On the basis of the nonlinear wave equations for unidirectional propagation of plane waves, evolutions of the acoustic solitary wave are sought numerically in two cases where the temperature increases or decreases linearly along the tube. Discussions are given by comparing the present problem with the one of propagation of a shallow-water soliton over variable topography.
机译:本文研究了温度梯度对带有亥姆霍兹谐振器阵列的空气填充管中的声学孤立波传播的影响。由于忽略了粘度和热传导,因此兴趣将集中在轴向不均匀的效果上,其温度和空气密度处于未受干扰的状态。在基于用于平面波的单向传播的非线性波动方程的基础上,在数量上寻找声学孤立波的演进,其中温度沿着管线性增加或减小。通过将浅水孤子的传播之一与可变地形进行比较,给出讨论。

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