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Investigation of the structure of turbulent flows in streamwise asymmetric corner configurations

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Abstract

The results of extensive experimental studies of the structure of three-dimensional flow in a region of interaction of asymmetrically developing incompressible turbulent boundary layers by a longitudinal flow around corner configurations are presented. The character of the originating secondary flows is analysed depending on the degree of the flow asymmetry and on the geometry of the leading edge corner. The mechanisms of origin, subsequent development and transformation of secondary flows along the length of a model are discussed. In particular, it is shown that a one-vortex scheme of the flow gradually transforms into a two-vortical one with increasing distance from the leading edge corner.

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Abbreviations

X, Y, Z :

right-hand system of Cartesian coordinates (Fig. 1)

A, B :

corner sides

\(Re_1 = \left( {\frac{{U_\delta \cdot 1}}{\gamma }} \right)_{M^{ - 1} } ;{\text{ }}\operatorname{Re} _{X_A } = \left( {\frac{{U_\delta \cdot x_A }}{\gamma }} \right);{\text{ }}Re_{X_B } = \left( {\frac{{U_\delta \cdot x_B }}{\gamma }} \right)\) :

characteristic Reynolds numbers

U, V, W :

mean velocity components in boundary layer in directions, respectively

P :

mean static pressure

q :

head velocity

Y :

kinematic coefficient of viscosity

C f :

local skin friction coefficient

Uτ :

shear velocity

τ:

local skin friction

ϱ:

density

δ:

boundary layer thickness atU/U δ = 0.99

h :

extent of interaction region of boundary layers inZ (orY) direction

δ*; δ** :

displacement thickness and momentum thickness

\(\sqrt {\overline {{\text{ }}U\prime ^2 } } \) :

root-mean-square value of longitudinal component of velocity fluctuation

\(\overline {({\text{ }})} \) :

average (in time) value

∞:

free-stream conditions

W :

wall

δ:

conditions on outer edge of boundary layer

max:

maximum value

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Kornilov, V.I., Kharitonov, A.M. Investigation of the structure of turbulent flows in streamwise asymmetric corner configurations. Experiments in Fluids 2, 205–212 (1984). https://doi.org/10.1007/BF00571867

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