论文标题
有损介质中的声学方程
Acoustic Equation in a Lossy Medium
论文作者
论文摘要
在这里，有损培养基的声学方程是从无线化的可压缩Navier-Stokes方程的第一个原理得出的，而没有Stokes的假设。获得了管理方程式的分散关系，根据长度尺度，在有损培养基中传播的声学扰动的分散性和耗散性质。我们特别提供了理论上的截止波数，而声音方程表示扩散性质。根据作者的知识，以前尚未报告这种行为。
Here, the acoustic equation for a lossy medium is derived from the first principle from the linearized compressible Navier-Stokes equation without Stokes' hypothesis. The dispersion relation of the governing equation is obtained, which exhibits both the dispersive and dissipative nature of the acoustic perturbations traveling in a lossy medium, depending upon the length scale. We specifically provide a theoretical cut-off wave number above which the acoustic equation represents a diffusive nature. Such a behavior has not been reported before, as per the knowledge of the authors.
