An Analytical and Experimental Study of the Plane, Incompressible, Turbulent Free-Shear Layer With Arbitrary Velocity Ratio and Pressure Gradient

[+] Author and Article Information
C. M. Sabin

Geoscience Limited, Solana Beach, Calif.

J. Basic Eng 87(2), 421-428 (Jun 01, 1965) (8 pages) doi:10.1115/1.3650566 History: Received August 03, 1964; Online November 03, 2011


A first-order approximation is derived in similarity coordinates for the velocity variation across a mixing zone between two streams of different velocities in an arbitrary pressure grudient. The velocity profiles obtained are functions of a single parameter, the ratio of the velocity of the slow stream to that of the fast stream. The first-order velocity profiles are compared to those obtained from the complete solution to the zero-pressure-gradient case obtained by Görtler and good agreement is found when the velocity ratio is greater than 0.5. The form of the eddy diffusivity appropriate to the first-order theory is determined from analysis and experimental data. This form leads to an explicit transformation for the similarity coordinate requiring only a single empirical constant for all cases.

Copyright © 1965 by ASME
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