论文标题
关于Navier中的控制量的任意性 - Stokes方程
On the control volume arbitrariness in the Navier--Stokes equation
论文作者
论文摘要
我们提出了一个连续理论,以证明考虑对任意控制量的一般路线的含义,而封闭表面缺乏平稳性的任意控制量。然后,我们量身定制这些文章以恢复Navier-Stokes-$αβ$方程及其热力学。与提出该理论的表面平衡相一致,我们提供了一种推导自然边界条件的替代方法。
We present a continuum theory to demonstrate the implications of considering general tractions developed on arbitrary control volumes where the surface enclosing it lacks smoothness. We then tailor these tractions to recover the Navier--Stokes-$αβ$ equation and its thermodynamics. Consistent with the surface balances postulated to propose this theory, we provide an alternative approach to derive the natural boundary conditions.