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Determination of derivative moments using two slanted hot-wires and a spectral method

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Abstract

A method to determine derivative moments using slanted hot-wires and a spectral method has been developed. The general idea is to minimize the measuring volume by using only two hot-wires, and a post-processing of the measurement data. It is shown that the spectral method is equivalent to conventional determination of correlations. The method developed has been tested in the self-preserving region of a plane wake by computing profiles of the Reynolds stresses as well as the derivative moments in the expression for the total energy dissipation. One term in this expression, which with conventional methods requires two triple-wires or four cross-wires, has been determined using the spectral method.

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References

  • Antonia, R. A.; Browne, L. W. B.; Chambers, A. V. 1984: On the Spectrum of the Transverse Derivative of the Streamwise Velocity in a Turbulent Flow, Phys. Fluids, 27, 2628–2631

    Google Scholar 

  • Aronson, D.; Löfdahl, L. 1993: The plane wake of a cylinder: Measurements and inferences on the turbulence modeling. Phys. Fluids A 6, 1433–1437

    Google Scholar 

  • Batchelor, G. K. 1953: The theory of homogeneous turbulence, Cambridge University Press, Cambridge

    Google Scholar 

  • Browne, L. W. B.; Antonia, R. A.; Shah, D. A. 1987: Turbulent energy dissipation in a wake, J. Fluid Mech., 74, 307–326

    Google Scholar 

  • Champagne, F. H. 1978: The Fine Structure of the Turbulent Velocity Field, J. Fluid Mech. 86, 67–108

    Google Scholar 

  • Claerbout, J. F. 1985: Fundamentals of geophysical data processing, Blackwell Scientific Publications, Palo Alto, California

    Google Scholar 

  • Comte-Bellot, G. 1976: Hot-wire anemometry, ann. Rev. Fluid Mech. 8, 209–231

    Google Scholar 

  • George, W. K.; Hussein, H. J. 1991: Local axisymmetric turbulence, J. Fluid Mech. 233, 1–23

    Google Scholar 

  • Groth, J. 1991: On the Modeling of Homogeneous turbulence, PhD thesis, Dept. of Mechanics, Royal Institute of Technology, Stockholm

    Google Scholar 

  • Hallbäck, M.; Groth, J.; Johansson, A. V. 1989: A Reynolds stress closure for the dissipation in anisotropic turbulent flows, Proc. of Seventh Symposium of Turbulent Shear Flows, Stanford University, pp 17.2.1–17.2.7

  • Hussein, H. J.; George, W. K. 1989: Measurements of small scale turbulence in an axisymmetric jet using moving Hot-wires, Proc. of Seventh Symposium on Turbulent Shear Flows, Stanford University, pp 30.2.1-30.2.6

  • Johansson, A. V. 1992: Private communication

  • Ligrani, P. M.; Bradshaw, P. 1987: Spatial resolution and measurements of turbulence in the viscous sublayer using subminiature Hot-wire Probes, Exp. Fluids. 5, 407–417

    Google Scholar 

  • Löfdahl, L.; Stemme, G.; Johansson, B. 1992: Silicon based flow sensors used for mean velocity and turbulence measurements, Exp. Fluids, 12, 270–276

    Google Scholar 

  • McComb, W. D. 1990: The Physics of fluid turbulence, Claredon Press, Oxford

    Google Scholar 

  • Monin, A. S.; Yaglom, A. M. 1965; Statistical fluid mechanics, mechanics of turbulence, vol. 1–2, MIT Press, Cambridge, Massachusetts

    Google Scholar 

  • Perry, A. E. 1982: Hot-wire anemometry, Claredon, Oxford

  • Speziale, C. G. 1991: analytical methods for the development of Reynolds-stress closures in turbulence, Ann. Rev. Fluid Mech. 23, 107–157

    Google Scholar 

  • Tennekes, H.; Lumely, J. L. 1972: A first course in turbulence, MIT press, Cambridge, Massachusetts

    Google Scholar 

  • Wyngaard, J. C. 1969: Spatial resolution of the vorticity meter and other hot-wire arrays. J. Sci. Instr., 2, 983

    Google Scholar 

  • Zhu, Y.; Antonia, R. A.; Kim, J. 1993: Velocity and temperature derivative measurements in the near-wall region of a turbulent duct flow, near-wall turbulence flows, Elsevier Science Publishers B. V, Amsterdam, 549–561

    Google Scholar 

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Löfdahl, L., Johansson, B., Bergh, J. et al. Determination of derivative moments using two slanted hot-wires and a spectral method. Experiments in Fluids 15, 393–400 (1993). https://doi.org/10.1007/BF00191778

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