On a continuum-mechanical theory for turbulence


Abstract


En
We discuss a continuum-mechanical formulation and generalization of the Navier–Stokes-𝛼 equation based on a comprehensive framework for uidynamical theories with gradient dependencies (Fried & Gurtin 2006). Our ow equation entails two additional material length scales: one energetic, the other dissipative. In contrast to Lagrangian averaging, our formulation delivers boundary conditions — involving yet another length scale — and a complete structure based on thermodynamics applied to an isothermal system.

DOI Code:

Keywords:
Turbulence; Hypertraction and hyperstress; Virtual power; Boundary conditions

Full Text: PDF
کاغذ a4

Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.