A law of the wall for turbulent boundary layers with suction: Stevenson's formula revisited

作者：Vigdorovich Igor^*

来源：Physics of Fluids, 2016, 28(8): 085102.

DOI：10.1063/1.4960182

The turbulent velocity field in the viscous sublayer of the boundary layer with suction to a first approximation is homogeneous in any direction parallel to the wall and is determined by only three constant quantities - the wall shear stress, the suction velocity, and the fluid viscosity. This means that there exists a finite algebraic relation between the turbulent shear stress and the longitudinal mean-velocity gradient, using which as a closure condition for the equations of motion, we establish an exact asymptotic behavior of the velocity profile at the outer edge of the viscous sublayer. The obtained relationship provides a generalization of the logarithmic law to the case of wall suction. Published by AIP Publishing.

• 出版日期2016-8