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An instantaneous 3-D analysis of turbulent flow in the wake of a hemisphere

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Instantaneous three-dimensional velocity fields in the wake of a hemisphere located on an open channel bed are obtained by using multi-section flow visualization and a Mass-Consistent model. Instantaneous pictures of the organized structures are taken at a short time interval to investigate their behaviors at high Reynolds number. At high Reynolds number, the large vortex in the hemisphere wake is similar to the hairpin vortex observed at low Reynolds number. However, the long legs of the hairpin in the streamwise direction are not observed. A secondary hairpin vortex has been generated on the upstream side of the large hairpin vortex. Instantaneous spatial distributions of fluctuating velocity, vorticity production, etc. are presented and discussed.

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  1. Acarlar, M. S. and Smith, C. R.: 1987a, ‘A Study of Hairpin Vortices in a Laminar Boundary Layer. Part 1: Hairpin Vortices Generated by a Hemisphere Protuberance’,J. Fluid Mech. 175, 1–41.

  2. Acarlar, M. S. and Smith C. R.: 1987b, ‘A Study of Hairpin Vortices in a Laminar Boundary Layer. Part 2: Hairpin Vortices Generated by Fluid Injection’,J. Fluid Mech. 175, 43–83.

  3. Akima, H.: 1978, ‘A Method of Bivariate Interpolation and Smooth Surface Fitting for Irregularly Distributed Data Points’,ACM Trans. Math. Software 4, 148–159.

  4. Bogard, D. G. and Tiederman, W. G.: 1986, ‘Burst Detection with Single Point Velocity Measurement’,J. Fluid Mech. 162, 389–413.

  5. Head, M. R. and Bandyopadhyay, P.: 1981, ‘New Aspects of Turbulent Boundary-Layer Structure’,J. Fluid Mech. 107, 297–337.

  6. Hon, T. L. and Walker, J. D. A.: 1987, ‘An Analysis of the Motion and Effects of Hairpin Vortices’, Rep. FM-11, Lehigh University Bettleham USA.

  7. Kim, J.: 1987, ‘Evolution of a Vortical Structure Associated with the Bursting Event in a Channel Flow’,Turbulent Shear Flow 5, Springer-Verlag, Berlin, pp. 221–233.

  8. Sherman, C. A.: 1978, ‘A Mass-Consistent Model for Wind Fields Over Complex Terrain’,J. Appl. Meteorol. 17, 241–253.

  9. Tamai, N., Asaeda, T. and Tanaka, N.: 1987, ‘Vortex Structures Around a Hemispheric Hump’,Boundary-Layer Meteorol. 39, 301–314.

  10. Tardu, S. and Binder, G.: 1991, ‘Review: Effect of the OLDs on Near Wall Coherent Structures; Discussion and Need for Future Work’,Recent Developments in Turbulence Management, Kluwer Academic Publishers Newtherlands, pp. 147–160.

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Kawanisi, K., Maghrebi, M.F. & Yokosi, S. An instantaneous 3-D analysis of turbulent flow in the wake of a hemisphere. Boundary-Layer Meteorol 64, 1–14 (1993). https://doi.org/10.1007/BF00705660

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  • Vortex
  • Reynolds Number
  • Vorticity
  • Open Channel
  • Flow Visualization