Abstract
The effect of a moderate adverse pressure gradient on the interaction between a single streamwise vortex and a turbulent boundary layer is investigated experimentally. Quantitative characterization of vortex properties based on measurements of the mean cross-flow velocity components is attained. Growth of the vortex core is observed, followed by a flattening of the core shape which occurs when the core radius becomes comparable to the distance of the vortex center from the surface. The adverse pressure gradient causes an increase in the rate of core growth and, therefore, a stronger distortion of the core shape. Turbulence properties are even more strongly disturbed by an adverse pressure gradient than by constant pressure.
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Abbreviations
- Cf):
-
Skin friction coefficient
- CP):
-
Pressure coefficient;
$${C_{P}} = [P(X) - P(X = 10cm)]/[(1/2)\varrho U_{0}^{2} $$ - P):
-
Static pressure (measured with a wall static tap)
- RY, RZ):
-
Vortex core radial dimensions in vertical and spanwise directions, respectively
- RΓ):
-
Vortex circulation Reynolds number;
$${R_{\Gamma }} = \Gamma /v $$ - u, v;, w):
-
Velocity components in X, Y, Z directions
- U, V, W):
-
Mean velocities; shorthand notation for ū, ῡ, v,w
- X, Y, Z):
-
Right-hand Cartesian streamwise, vertical, and spanwise coordinate directions, respectively
- Γ):
-
Overall circulation
- δ):
-
Boundary-layer thickness
- v):
-
Air kinematic viscosity
- ϱ):
-
Air density
- Ωx):
-
Streamwise vorticity; Ω
$$ {\Omega _{x}} = \partial W/\partial Y - \partial V/\partial Z $$ - —):
-
Time average
- ′):
-
Turbulence component, e.g.,
$$ u = U + {u^{'}} $$ - c):
-
Refers to vortex center
- e):
-
Refers to local free-stream conditions
- max):
-
Maximum value for a particular crossflow plane
- 0):
-
Reference value (measured in free stream at X = 10 cm)
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© 1987 Springer-Verlag Berlin Heidelberg
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Westphal, R.V., Eaton, J.K., Pauley, W.R. (1987). Interaction Between a Vortex and a Turbulent Boundary Layer in a Streamwise Pressure Gradient. In: Durst, F., Launder, B.E., Lumley, J.L., Schmidt, F.W., Whitelaw, J.H. (eds) Turbulent Shear Flows 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71435-1_22
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DOI: https://doi.org/10.1007/978-3-642-71435-1_22
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