TY - JOUR
T1 - Wall-bounded turbulent shear flow
T2 - Analytic result for a universal amplitude
AU - Chattopadhyay, Amit Kr.
AU - Bhattacharjee, Jayanta K.
N1 - ©2000 American Physical Society
PY - 2001/1
Y1 - 2001/1
N2 - In the turbulent boundary layer above a flat plate, the velocity profile is known to have the form v =v0[(1/κ)ln z+const]. The distance from the wall in dimensionless units is z and v0 is a uniquely defined velocity scale. The number κ 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 κ=√108/125π≃0.52.
AB - In the turbulent boundary layer above a flat plate, the velocity profile is known to have the form v =v0[(1/κ)ln z+const]. The distance from the wall in dimensionless units is z and v0 is a uniquely defined velocity scale. The number κ 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 κ=√108/125π≃0.52.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-18644376038&partnerID=40&md5=46c77e585460ac69b7e17beaa062aadc
U2 - 10.1103/PhysRevE.63.016306
DO - 10.1103/PhysRevE.63.016306
M3 - Article
SN - 1539-3755
VL - 63
JO - Physical Review E
JF - Physical Review E
IS - 1
M1 - 016306
ER -