Second Symposium on Turbulence and Shear Flow Phenomena
DOI: 10.1615/TSFP2
A TERM-BY-TERM MODEL OF TURBULENCE ENERGY AND STRESS DISSIPATION CONSISTENT WITH NEAR WALL LIMITS
pages 193-198
DOI: 10.1615/TSFP2.1060
RESUMO
A DNS-based new model of the transport equation for the turbulence energy dissipation rate ε and an algebraic expression for its tensor εij, all satisfying the wall-limits without using topological parameters, are derived in terms of their 'homogeneous' parts εh and εhij. The approach is based on the two-point velocity covariance analysis of Jovanovic, Ye and Durst (1995), with re-interpretation of the viscous term. A priori evaluation of εij using DNS data for quantities other than εij, and the computation with the full uiuj-εh model of flows in a pipe, plane channel, boundary layer, behind a backward-facing step and in an axially-rotating pipe, show good near-wall behavior of all terms in accord with the DNS data.