On the control volume arbitrariness in the Navier-Stokes equation

被引：4

作者：

Espath, Luis ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Dept Math, D-52062 Aachen, Nordrhein Westf, Germany

来源：

PHYSICS OF FLUIDS | 2021年 / 33卷 / 01期

关键词：

CAMASSA-HOLM EQUATIONS; ALPHA; MODEL; THERMODYNAMICS; FLUIDS;

D O I：

10.1063/5.0037468

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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-alpha beta 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.

引用

页数：7

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