代数熱流束乱流モデルのユークリッド普遍性について(乱流の予測とモデリング(3),一般講演)

概要

論文の詳細を見る
The weak-equilibrium condition is the basis to derive the algebraic heat flux model (AHFM) from the transport equation of turbulent heat flux. In the present study, a Euclidean invariant weak-equilibrium condition is proposed, which extends the applicability of resultant AHFM to flows with rotation and streamline curvature. Based on the extended weak-equilibrium condition, the Euclidean invariant implicit AHFM is derived. Furthermore, the explicit AHFM is given using Caylay-Hamilton theorem for heat transfer in three- and two-dimensional turbulent flows. In addition, it is also proven that the transport equation of heat flux anisotropy can be written in a manner of Euclidean invariant by introducing the Jaumann-Noll derivative.
日本流体力学会の論文
2007-08-06