论文标题
浮力流的Boussinesq近似
The Boussinesq approximation for buoyant flows
论文作者
论文摘要
这种沟通的目的是提出简化但严格的，对BousSinesq近似浮力流程的近似控制方程。为了执行核心扣除程序，讨论了文献中可用的流形渐近分析的简化版本。这项研究中采用的方法集中在局部平衡方程中，对一般，不一定是牛顿，流体有效。分析是通过在渐近极限的管理方程中证明近似值的渐近方程中的主要顺序项来进行的。还考虑了粘性耗散作用所起的作用。
The aim of this communication is to present a simplified, yet rigorous, deduction of the Boussinesq approximated governing equations for buoyant flows. In order to carry out the core deduction procedure, a simplified version of the manifold asymptotic analyses available in the literature is discussed. The method adopted in this study is focussed on the local balance equations valid for a general, not necessarily Newtonian, fluid. The analysis is carried out by demonstrating the leading order terms in the governing equations for the asymptotic limit which characterises the approximation. The role played by the effect of viscous dissipation is also taken into account.
