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)
References
Batchelor, G. K. (1967): Introduction to Fluid Dynamics (Cambridge University Press) 543–555
Leibovieh, S. (1984): Vortex breakdown and stability: survey and extension. AIAA J. 22, 1192–1206
Leuchter, O., Solignac, J. L. (1984): “Experimental Investigation of the Turbulent Structure of Vortex Wakes,” in Turbulent Shear Flows, ed. by L. J. S. Bradbury et al. (Springer, Berlin, Heidelberg) 156
Shabaka, I. M. M. A., Mehta, R. D., Bradshaw, P.: (1985): Longitudinal vortices imbedded in turbulent boundary layers. Part I. Single vortex. J. Fluid Mech. 155, 37
Mehta, R. D., Shabaka, I. M. M. A., Shibl, A., Bradshaw, P. (1983): Longitudinal vortices imbedded in turbulent boundary layers. AIAA Paper 83–0378, Reno, Nevada
Hoffman, E. R., Joubert, P. N. (1963): Turbulent line vortices. J. Fluid Mech. 16, 395–411
Phillips, W. R. C., Graham, J. A. H. (1984): Reynolds-stress measurements in a turbulent trailing vortex. J. Fluid Mech. 147, 353–371
Westphal, R. V., Mehta, R. D. (1984): Cross hot-wire anemometry data acquisition and reduction system. NASA TM-85871
Shepherd, I. C. (1981): A four-hole probe for fluid flow measurements in three dimensions. Transactions of the American Society of Mechanical Engineers, J. Fluids Eng. 103, 590–594
Youssefmir, P. (1982): “Flow Studies of Full-Coverage Film Cooling on a Convexly Curved Surface;” Ph.D. Thesis, Department of Mechanical Engineering, Stanford University, Stanford, CA
Tanner, L. H. (1981): The application of fizeau interferometry of oil films to the study of surface flow phenomena. Opt. Lasers Eng. 2, 105–118
Westphal, R. V., Bachalo, W. D., Houser, M. H. TM-882/6: Improved skin friction interferometer. NASA Technical Memorandum
Bushnell, D. M. (1984): Body-turbulence interaction. AIAA Paper 94–1527, Snowmass, CO
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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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