The paper presents a modified expression for the dissipation rate tens
or epsilon(ij) in the second-moment closure models, which employs the
dissipation ''flatness'' parameter E and the turbulence Re number. The
expression reproduced the distribution among the three diagonal compo
nents of epsilon(ij) in agreement with the direct numerical simulation
of a plane channel flow of Mansour, Kim and Moin, 1988. Implemented i
n a low-Re-number differential Re-stress model the relationship yielde
d predictions of dissipative components better than other models, albe
it spoiled by still unsatisfactory modelling of the equation for the e
nergy dissipation rate epsilon.