Abstract
The development of the wake velocity and turbulence profiles behind a cylindrical blunt based body aligned with a subsonic uniform stream was experimentally investigated as a function of the momentum thickness of the approaching boundary layer and the transfer of mass into the recirculating region. Measurements were made just outside of the recirculating region at distances of 1.5, 2 and 3 diameters downstream of the cylinder. Results indicate that, even at these short distances from the cylinder base, the velocity profiles are similar. They also show that the width of the wake increases with the thickness of the boundary layer while the velocity at the centerline decreases. Near wake mass transfer was found to alter centerline velocities while the width of the wake was not significantly altered. Wake centerline velocity development as a function of boundary layer thickness is presented for distances up to three diameters from the base.
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Abbreviations
- b :
-
Dimensionless half-wake radius
- D :
-
Base diameter
- r :
-
Radial distance from centerline
- R :
-
Base radius
- U :
-
Axial velocity
- U max :
-
Maximum axial velocity
- W :
-
Base mass transfer rate
- x :
-
Axial distance from base (posit.:rdownstream; negat.:upstream)
- %T :
-
Turbulence level (%)
$$\% T = \frac{{\overline {\sqrt {u'^2 } } }}{U} * 100$$ - Γ :
-
Near-wake mass transfer coefficient; positive values imply blowing, negative values imply suction
$$\Gamma = \frac{W}{{\pi R^2 \rho _\infty U_\infty }}$$ - Δ *1 :
-
Boundary layer displacement thickness at x = -3D
- Δ * :
-
Dimensionless boundary layer displacement thickness
$$\delta * = \frac{{\delta _1^* }}{R}$$ - Θ 1 :
-
Boundary layer momentum thickness at x = -3D
- Θ :
-
Dimensionless boundary layer momentum thickness
$$\Theta = \frac{{\Theta _1 }}{R}$$ - ϱ :
-
Density
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This work was supported in part by the ‘Xunta de Galicia’ under Project No. XUGA20611B93.
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Porteiro, J.L.F., Perez-Villar, V. Wake development in turbulent subsonic axisymmetric flows. Experiments in Fluids 21, 145–150 (1996). https://doi.org/10.1007/BF00191685
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DOI: https://doi.org/10.1007/BF00191685