Scaling properties in the production range of shear dominated flows.
In large Reynolds number turbulence, isotropy is recovered as the scale is reduced and homogeneous-isotropic scalings are eventually observed. This picture is violated in many cases, e.g., wall bounded flows, where, due to the shear, different scaling laws emerge. This effect has been ascribed to the contamination of the inertial range by the larger anisotropic scales. The issue is addressed here by analyzing both numerical and experimental data for a homogeneous shear flow. In fact, under strong shear, the alteration of the scaling exponents is not induced by the contamination from the anisotropic sectors. Actually, the exponents are universal properties of the isotropic component of the structure functions of shear dominated flows. The implications are discussed in the context of turbulence near solid walls, where improved closure models would be advisable.
Casciola
C M
CM
Dipartimento di Meccanica e Aeronautica, Università di Roma La Sapienza, Via Eudossiana 18, 00184 Roma, Italy.
Gualtieri
P
P
Jacob
B
B
Piva
R
R