论文标题
朝着略微粘性流体中的声学几何形状
Towards an Acoustic Geometry in Slightly Viscous Fluids
论文作者
论文摘要
我们探讨了在一阶声扰动的作用下，粘度较小的压缩和非旋转流体的行为。我们讨论了现存的文献，在存在粘度的情况下收集声学几何形状的困难。为了消除各种技术支出，当存在粘度时，为了提取可能的声学几何形状，我们采用了一种双重扰动的方法，该方法的动态量（例如速度场）和潜在的粘度和外部声刺激中的潜在扰动。所得的扰动方程产生的溶液可以用广义的声学几何形状来解释，而在inviscid流体已知的几何形状上。
We explore the behaviour of barotropic and irrotational fluids with a small viscosity under the effect of first-order acoustic perturbations. We discuss, following the extant literature, the difficulties in gleaning an acoustic geometry in the presence of viscosity. In order to obviate various technical encumbrances, when viscosity is present, for an extraction of a possible acoustic geometry, we adopted a method of double perturbations, whereby dynamical quantities such as the velocity field and potential undergo a perturbation both in viscosity and in an external acoustic stimulus. The resulting perturbation equations yield a solution which can be interpreted in terms of a generalised acoustic geometry, over and above the one known for inviscid fluids.
