On the weak-equilibrium condition for derivation of algebraic heat flux model

J. F. Qiu, S. Obi, T. B. Gatski

研究成果: Article査読

4 被引用数 (Scopus)


Analogous to an algebraic Reynolds stress model, the algebraic heat flux model (AHFM) is derived from a second-moment closure by invoking the weak-equilibrium condition. The present study investigates this condition in detail as it applies to the advection and diffusive-transport terms. For the advection term, the correct form of this condition in non-inertial frames is obtained by means of an invariant Euclidean transformation. The validity of the diffusive-transport condition is examined through an a priori test using a DNS database for rotating turbulent channel flow with heat transfer. It is shown that the weak-equilibrium condition applied to diffusive-transport term tends to fail in the near-wall region. An alternative form is proposed that is based on an asymptotic analysis of the transport equation budget in the near-wall region. An evaluation of proposed form shows that it has the potential to improve the predictive ability of an ARSM for flows involving system rotation and/or streamline curvature.

ジャーナルInternational Journal of Heat and Fluid Flow
出版ステータスPublished - 2008 12

ASJC Scopus subject areas

  • 凝縮系物理学
  • 機械工学
  • 流体および伝熱


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