Abstract
Measurements were made in the stern boundary layers and near wakes of an elliptic cylinder and a slender ship model. Turbulence intensities, Reynolds stresses, kinematic eddy viscosities and mixing lengths are presented. For the elliptic cylinder, furthermore, auto-correlation and power spectrum are obtained.
It is shown that the separation from the cylinder increases the turbulence intensities, and the Kármán vortices enhance the turbulence power at the vortex frequency. All distributions of Reynolds stresses in the thick boundary layer and wake of the ship model show a secondary low peak at about half the thickness.
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Abbreviations
- l :
-
mixing length
- L :
-
model length
- R′ u , R′ v :
-
normalized auto-correlations to u and v
- u :
-
velocity fluctuation in the streamline direction
- U :
-
mean velocity in the streamline direction
- U o :
-
main stream velocity
- U δ :
-
velocity at the edge of boundary layer or wake
- v :
-
velocity fluctuation in the direction of ζ axis
- w :
-
velocity fluctuation in the direction normal to u and v
- X, Y, Z :
-
co-ordinates of the model
- δ:
-
thickness of boundary layer or wake
- δ* :
-
displacement thickness
- ε:
-
kinematic eddy viscosity
- ζ:
-
co-ordinate normal to surface or streamline
- ν:
-
kinematic viscosity
- τ:
-
lag time
References
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Hatano, S.; Hotta, T. 1982: Turbulence measurements in the flow around a body in a circulating water channel (Part 2). Trans. West-Japan Soc. Nav. Arch. 64, 1–9
Huang, T. T.; Stantelli, N.; Belt, G. 1978: Stern boundary layer flow on axisymmetric bodies. 12th Symposium on naval hydrodynamics, Washington, 127–157
Kato, N. 1982: A study on separated flows behind bluff bodies by inviscid vortex models (2nd rep.). J. Soc. Nav. Arch. Jpn. 151, 15–22
Launder, B. E.: Spalding, D. B. 1972: Lectures in mathematical models of turbulence, p 79. London: Academic Press
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Hatano, S., Hotta, T. Turbulence measurements around a body in a re-circulating water channel by a hot film probe. Experiments in Fluids 1, 57–62 (1983). https://doi.org/10.1007/BF00266256
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DOI: https://doi.org/10.1007/BF00266256