发表机构
IITK（印度理工学院坎普尔分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文重新评估可压缩牛顿流体的纳维-斯托克斯方程，提出广义运动黏度及估计第二黏度系数的新方法，以统一流体力学与气动声学。
AI 中文摘要
鉴于近期关于气动声学基础的研究结果，对可压缩牛顿流体的纳维-斯托克斯方程进行了重新评估。在此过程中，重新考虑了所谓的斯托克斯假说的作用与必要性，该假说在当前实践中忽略了体积黏度。相反，本文提出了一种新的广义运动黏度的相关性，并给出了一种新方法，使得能够估计第二黏度系数，从而完全无需做出斯托克斯假说。这为纳维-斯托克斯方程的新公式开辟了前景，该公式以统一的方法适用于流体力学和气动声学两个学科。
英文摘要
The Navier-Stokes equation for a compressible Newtonian fluid is reassessed, in view of recent investigation results on the foundations of aeroacoustics. In the process, the role and necessity of the so-called Stokes' hypothesis is reconsidered, which in its current practice omits the bulk viscosity. In contrast, the relevance of a new generalized kinematic viscosity is proposed, along with a new methodology that will enable estimation of second coefficient of viscosity completely obviating the necessity of making the Stokes' hypothesis. This opens up the vista of a new formulation for the Navier-Stokes equation applicable for both the subjects of fluid mechanics and aeroacoustics in a unified approach.
