THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

TURBULENT DISSIPATION RATE MEASUREMENTS IN PLANE AND AXISYMMETRIC WAKE FLOWS

ABSTRACT
All first-order spatial derivatives of the turbulent velocity fluctuations were measured using a pair of X hot-wire probes. Measurements were performed in the self-preserving region of a turbulent plane wake downstream of a cylinder and in an arisymmetric wake behind the sphere. Good spatial resolution of the measurements was ensured by choosing small values for the cylinder/sphere diameter and a low flow speed. Errors due to the finite hot-wire length and the wire and probe separation were analysed using Wyngaard's correction method. The derived corrections were verified experimentally. The measuring technique and the experimental results were systematically checked and compared with the results available in the literature. The assumptions of local isotropy and local axisymmetry were examined. Both investigated flows deviate only moderately from local isotropy and local arisymmetry. Support for the measured results 1s provided by plotting the data on an anisotropy invariant map. The budgets of the turbulent kinetic energy were computed from the measured data. In contrast to the results obtained in the plane wake, where the pressure transport 1s nearly negligible, in the axisymmetric wake it was found to play an important role and closely follows the estimate made by Lumley, uip/ρ ≈ —0.2q2ui.
PAPER SUBMITTED: 2001-11-30
PAPER REVISED: 2002-02-26
PAPER ACCEPTED: 1970-01-01
PUBLISHED ONLINE: 2020-08-22
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2001, VOLUME 5, ISSUE Issue 1, PAGES [75 - 100]
REFERENCES
  1. Kolmogorov, A.N.: Local structure of turbulence in an incompressible fluid at very high Reynolds numbers, Comptes Rendus (Doklady) de l'Académie des Sciences de PU.R.S.S., Vol.30, (1941), pp.299-303.
  2. Simmons, L.F.G. and Salter, C.: Experimental investigation and analysis of the velocity variations in turbulent flow, Proceedings of the Royal Society of London, Series A, Vol. 165, (1934), pp.145-212.
  3. Corrsin, S.: Investigation of flow in axially symmetrical heated jet of air, The National Advisory Committee for Aeronautics, War-time Report W-94, Washington D.C., 1943.
  4. Corrsin, S. and Uberoi, M.S.: Spectra and diffusion in a round jet, The National Advisory Committee for Aeronautics, Technical Note 1040, Washington D.C., 1951.
  5. Townsend, A.A.: Local isotropy in the turbulent wake of a cylinder, Australian Journal of Scientific Research, Series A, Vol.1, (1948), pp.161-174.
  6. Townsend, A.A.: The fully developed turbulent wake of a circular, cylinder, Australian Journal of Scientific Research, Series A, Vol.2, (1949), pp.451-468.
  7. Laufer, J.: The structure of turbulence in fully developed pipe flow, The National Advisory Committee for Aeronautics, Report 1174, Washington D.C., 1954, pp.417-433.
  8. Klebanoff, J.: Characteristics of turbulence in a boundary layer with zero pressure gradient, The National Advisory Committee for Aeronautics, Technical Note 3178, Washington D.C., 1953.
  9. Uberoi, M.S. and Freymuth, P.: Temperature fluctuations in the turbulent wake behind an optically heated sphere, Physics of Fluids, Vo.16, (1973), pp.161-168.
  10. Antonia, R.A. and Browne, L.W.B.: Anisotropy of the temperature dissipation in a turbulent wake, Journal of Fluid Mechanics, Vol.168, (1986), pp.393-403.
  11. Tavoularis, S. and Corrsin, 5S.: Experiments in nearly homogeneous turbulent shear flow with uniform mean temperature gradient. Part 1, Journal of Fluid Mechanics, Vol. 104, (1981), pp.311-347.
  12. Tavoularis, S. and Corrsin, S.: Experiments in nearly homogeneous turbulent shear flow with uniform mean temperature gradient. Part 2, Journal of Fluid Mechanics, Vol. 104, (1981), pp.349-367.
  13. Krishnamoorthy, L.V. and Antonia, R.A.: Temperature-dissipation measurements in a turbulent boundary layer, Journal of Fluid Mechanics, Vol.176, (1987), pp.265-281.
  14. Browne, L.W.B., Antonia, R.A. and Shah, D.A.: Turbulent energy dissipation in a wake, Journal of Fluid Mechanics, Vol.179, (1987), pp.307—326.
  15. George, W.K. and Hussein, H.J.: Locally axisymmetric turbulence, Journal of Fluid
  16. Hussein, H.J., Capp, S.P. and George, W.: Velocity measurements in a high Reynolds number, momentum-conserving, axisyimmetric, turbulent jet, Journal of Fluid Mechanics, Vol.258, (1994), pp.31-75.
  17. Hussein, H.J.: Evidence of local axisymmetry in the small scales of a turbulent planar jet, Physics of Fluids, Vol.6, (1994), pp.2058-2070.
  18. Ye, Q.-Y.: Die turbulente Dissipation mechanischer Energie in Scherschichten, Dissertation, Universitat Erlangen-Nürnberg, 1996.
  19. Zhu, Y. and Antonia, R.A.: The spatial resolution of hot-wire arrays for the measurement of small-scale turbulence, Measurement Science and Technology, Vol.7, (1996), pp.1349-1359.
  20. Wyngaard, J.C.: Measurement of small-scale turbulence structure with hot wires, Journal of Scientific Instruments, Vol.1, (1968), pp.1105—1108.
  21. Wyngaard, J.C.: Spatial resolution of the vorticity meter and other hot-wire arrays, Journal of Scientific Instruments, Vol.2, (1969), pp.983-987.
  22. Pao, Y.-H.: Structure of turbulent velocity and scalar fields in large wave numbers, Physics of Fluids, Vol.8, (1965), pp.1063-1075.
  23. Schenck, T.C.: Messung der turbulenten Dissipationsrate in ebenen und achsensymmetrischen Nachlaufströmungen, Dissertation, Universität Erlangen-Nürnberg, 1999.
  24. Bradshaw, P.: An Introduction to Turbulence and its Measurement, Pergamon Press, Oxford, 1971.
  25. Wvyegnanski, I. and Fiedler, H.: Some measurements in the self-preserving jet, Journal of Fluid Mechanics, Vol.88, (1969), pp.577-612.
  26. Kaiser, J.F., and Reed, W.A.: Data smoothing using low-pass digital filters, Review of Scientific Instruments, Vol.48, (1977), pp.1447-1457.
  27. Wygnanski, I., Champagne, F. and Marasli, B.: On the large-scale structures in two-dimensional, small-deficit, turbulent wake, Journal of Fluid Mechanics, Vol. 168, (1986), pp.31-71.
  28. Hoerner, S.F.: Fluid-Dynamic Drag, Hoerner Fluid Dynamics, P.O. Box 342, Brick. Town, N.J. 08723, 1965.
  29. Schlichting, H. and Gersten, K.: Grenzschicht- Theorie, Springer-Verlag, Berlin, Heidelberg, 1997.
  30. Fabris, G.: Third-order conditional transport correlations in the two-dimensional turbulent wake, Physics of Fluids, Vol.26, (1983), pp.422-427.
  31. Aronson, D. and Löfdahl, L.: The plane wake of a cylinder: measurements and inferences on turbulence modelling, Physics of Fluids, Vol.5, (1993), pp.1433-1437.
  32. Uberoi, M.S. and Freymuth, P.: Spectra of turbulence in wakes behind circular cylinders, Physics of Fluids, Vol.12, (1969), pp.1359-1363.
  33. George, W.K.: The self-preservation of turbulent flows and its relation to initial conditions and coherent structures, In Advances in Turbulence (ed. W. K. George & R. Arndt), Hemisphere, 1989, pp.39-73.
  34. Rotta, J.C.: Turbulente Stromungen, B.G.Taubner, Stuttgart, 1972.
  35. Jovanović J., and Otić I.: On the constitutive relation for the Reynolds stresses and the Prandtl-Kolmogorov hypothesis of effective viscosity in axisymmetric strained turbulence, Journal of Fluids Engineering, Vol.122, (2000), pp.48-a0.
  36. Lumley, J.: Computational modelling of turbulent flows, Advances in Applied Mechanics, Vol.18, (1978), pp.123-176.
  37. Moser, R.D., Rogers, M.M. and Ewing, D.W.: Self-similarity of time-evolving plane wakes, Journal of Fluid Mechanics, Vol.367, (1998), pp.255-289.
  38. Uberoi, M.S. and Freymuth, P.: Turbulent energy balance and spectra of the axisymmetric wake, Physics of Fluids, Vol.13, (1970), pp.22035-2210.

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence