Fink and Naudascher 
This satisfactory agreement suggests strongly that the phy- 
sical approach involved is sound. One is thus led to the conclusion 
that the momentum-type similarity characteristic is a more signifi- 
cant parameter for flow description than the classical mean-velocity 
types, and that the corresponding new approach should prove promis- 
ing in the analysis of turbulent flows as well. There is no reason to 
abandon the powerful tool of integral methods as long as they are 
combined with suitable similarity assumptions. Indeed, as was shown 
in Refs. [6] and [8] , this method yields satisfactory results for 
a variety of non-elementary free-turbulence shear flows even though 
the turbulence hypotheses used in these cases were far from being 
elaborate. 
NOMENCLATURE 
‘igre similarity functions 
H value of excess momentum flux 
L.L,1, definite integrals of the similarity functions 
j exponent (equal to zero for plane flows and equal to 
unity for axisymmetric flows) 
x length scale characteristic of the width of the shear 
zone 
p pressure 
| uxt 
IR local Reynolds number Rere—5 
ie axial, lateral velocity 
US velocity in the outer stream 
uy excess velocity Upsig= aio Ueco 
diag velocity scale, chosen as maximum excess velocity 
V Patio Wisse Ws 
Higa Vi, Cartesian coordinates 
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