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Turbulence measurements in a grid mixing tank

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Sommario

Si è utilizzato un laser-doppler per la misura dell'abbattimento della turbolenza generata da una griglia in moto verticale-oscillatorio. Tali misure, oltre a rivestire interesse teorico, tendono a valutare le variazioni delle scale di lunghezza e velocità del moto turbolento in funzione della profondità (distanza dalla griglia). I risultati concordano con precedenti esperimenti con i quali si è dimostrato che l'energia cinetica legata a tale turbolenza decresce con l'inverso del quadrato della distanza dalla griglia.

I dati, rilevati con l'ausilio di un calcolatore, sono stati usati per calcolare gli spettri di energia e quindi analizzare lo sviluppo del moto del fluido incrementando la profondità. Si è mostrato che la turbolenza si sviluppa a profondità maggiori di circa due volte la dimensione della maglia che costituisce la griglia.

Si sono infine discussi i problemi connessi con i disturbi di fondo di diversa natura presenti nell'acquisizione dati.

Summary

An experiment is described in which a laser-Doppler anemometer was used to measure the spatial decay of turbulence generated by a vertically oscillating grid. In addition to being of theoretical interest, these measurements are necessary for scaling results from mixed-layer entrainment experiments. The main result of the present experiments is the determination of the variation of the length and velocity scales of the grid-induced motion as a function of distance from the grid. The results confirm previous reports that the turbulent kinetic energy (actually, the mean square fluctuating velocity) decreases approximately with the inverse square of the distance from the grid. Power spectra are calculated for the velocity signal and these, along with the raw data, are used to analyze the development of fluid motion with increasing distance from the grid. It is shown that true turbulence is not obtained for depths less than about two mesh spacings from the grid. Problems with background noise in the laser signal are also discussed.

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References

  • Bendat J. andPiersol B.,Random Data: Analysis and Measurement Procedures, Wiley-Interscience, New York (1971)

    Google Scholar 

  • Denton R.A.,Entrainment by penetrative convection at low Peclet number. Ph. D. thesis, Dept. of Civ. Eng., Univ. Canterbury, Christ-church, New Zealand (1978).

    Google Scholar 

  • Fernando H.J.S. andLong R.R.,The growth of a grid-generated turbulent mixed layer in a two-fluid system, J. Fluid Mech.133, 377–395, (1933).

    Google Scholar 

  • Hopfinger E.J. andToly J.A.,Spatially decaying turbulence and its relation to mixing across density interfaces. J. Fluid Mech.73, 155–175 (1976).

    Google Scholar 

  • Linden P.F.,The interaction of a vortex ring with a sharp density interface: A model for turbulent entrainment, J. Fluid Mech.60, 467–480 (1973).

    Google Scholar 

  • Linden P.F.,Mixing in stratified fluids, Geophys. Astophys. Fluid Dynamics13, 3–23 (1979).

    Google Scholar 

  • Long R.R.,The influence of shear on mixing across density interfaces. J. Fluid Mech.70, 305–320 (1975).

    Google Scholar 

  • Long R.R.,A theory of mixing in a stably stratified fluid. J. Fluid Mech.84, 113–124 (1978a).

    Google Scholar 

  • Long R.R.,Theory of turbulence in a homogeneous fluid induced by an oscillating grid. Phys. Fluids21, 1887–1888 (1978b).

    Google Scholar 

  • Long R.R.,The growth of the mixed layer in a turbulent stably stratified fluid. Geophys. Astrophys. Fluid Dynamics11, 1–12 (1978c).

    Google Scholar 

  • Mc Dougall Trevor J.,Measurements of turbulence in a zero-mean-shear mixed layer. J. Fluid Mech.94, 409–431 (1979).

    Google Scholar 

  • Thompson S.M. andTurner J.S.,Mixing across an interface due to turbulence generated by an oscillating grid. J. Fluid Mech.67, 639–368 (1975).

    Google Scholar 

  • Turner J.S.,The influence of molecular diffusivity on turbulent entrainment across a density interface. J. Fluid Mech.23, 639–656 (1968).

    Google Scholar 

  • Turner J.S.,Buoyanc Effects in Fluids, Cambridge University Press, Cambridge (1973).

    Google Scholar 

  • Wolanski E.J. andBrush L.M.,Turbulent entrainment across stable density step structures, Tellus 27, 259–268 (1975).

    Google Scholar 

Download references

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Additional information

Readers interested in more details, may request them to Dott. Ing. L. Damiani, Ist. di Idraulica e Costruzioni Idrauliche, Facoltà di Ingegneria Università di Bari, Via Re David 200, 70125 Bari.

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Atkinson, J.F., Damiani, L. Turbulence measurements in a grid mixing tank. Meccanica 21, 87–93 (1986). https://doi.org/10.1007/BF01560625

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  • DOI: https://doi.org/10.1007/BF01560625

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