M. Dianat et al., REYNOLDS STRESS CLOSURE APPLIED TO AXISYMMETRICAL, IMPINGING TURBULENT JETS, Theoretical and computational fluid dynamics, 8(6), 1996, pp. 435-447
A second-order, single-point closure model for calculating the transpo
rt of momentum in turbulent flows is extended to cover flows that are
close to solid surfaces. In such flows the proximity of a solid bounda
ry directly influences the fluctuating pressure field within the main
body of the now and leads to a dampening of velocity fluctuations norm
al to the wall. These effects are accommodated through the incorporati
on of an additional contribution in the modelled form of the redistrib
utive fluctuating pressure term used in the Reynolds stress transport
equation. Predictions of the extended closure model are compared with
available data in configurations where an air jet impinges orthogonall
y onto a plane surface. The inclusion of the wall reflection model is
shown to result in superior predictions of mean velocities, and normal
and shear stresses. In particular, normal-to-wall velocity fluctuatio
ns and shear stresses are successfully damped resulting in agreement w
ith observations.