Wall-bounded turbulent shear flow: Analytic result for a universal amplitude.
In the turbulent boundary layer above a flat plate, the velocity profile is known to have the form v=v(0)[(1/kappa)ln z+const]. The distance from the wall in dimensionless units is z and v(0) is a uniquely defined velocity scale. The number kappa is universal, and measurements over several decades have shown that it is nearly 0.42. We use a randomly stirred model of turbulence to derive the above law and find kappa=sqrt[108/125pi] approximately 0.52.
Chattopadhyay
A K
AK
Department of Theoretical Physics, Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700 032, West Bengal, India.
Bhattacharjee
J K
JK