A Single Formula for the Complete Velocity Profile in a Turbulent Boundary Layer

[+] Author and Article Information
R. B. Dean

Mechanical Engineering Department, University of Auckland, New Zealand

J. Fluids Eng 98(4), 723-726 (Dec 01, 1976) (4 pages) doi:10.1115/1.3448467 History: Received September 21, 1976; Online October 12, 2010


An expression for the wake deficit g(Π, y/δ) in a turbulent boundary layer is combined with a function f(U+ ) for the inner layer to yield a single formula for the complete velocity profile in the form y+ exp {Kg(Π, y/δ)} = f(U+ ). Close agreement is shown with data from boundary layers in a wide range of pressure gradients and beneath a turbulent free stream. The formula will be particularly useful for integral and differential calculation methods.

Copyright © 1976 by ASME
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