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Direct Numerical Simulation of Primary Breakup Phenomena in Liquid Sheets

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High Performance Computing in Science and Engineering ’06

Abstract

Starting from the first experimental and analytical studies on primary breakup phenomena, many interesting results have been published in the past. It is known that in addition to the typical dimensionless groups (Reynolds and Weber number), inflow conditions can drastically influence primary breakup phenomena. Now that high computational resources are available, direct numerical simulation (DNS) has become a powerful tool in order to study primary breakup phenomena. Nevertheless only a few DNS studies concerning breakup phenomena and the influence of inflow conditions are available. This might be due to the fact that besides high demands of computational resources, sophisticated numerical models are also required in order to prescribe realistic inflow conditions and capture all length scales in the flow. This paper mainly focuses on the influence of different inflow conditions, such as the integral length scale or the fluctuation level inside the turbulent nozzle flow. For this, the breakup phenomena of water sheets at moderate Reynolds numbers injected into an quiescent air environment are considered. Since this study is performed as an numerical experiment by varying the character of the inflow velocity data, it was found that not only the mean axial velocity profile but also the integral length scale and the fluctuation level can have an influence on breakup phenomena.

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References

  1. F.R.S. Rayleigh and J.S.W. Lord. On the instability of jets. Proc. London Math. Soc., Vol. 10, pp. 4–13, 1878.

    Article  Google Scholar 

  2. C. Weber. Zum Zerfall eines Flüssigkeitsstrahles. Zeitsch. für angew. Math. und Mech.(ZAMM), Vol. 11(2), pp. 136–154, 1931.

    Article  Google Scholar 

  3. S.P. Lin. Breakup of Liquid Sheets and Jets. Cambridge University Press, 2003.

    Google Scholar 

  4. K. Heukelbach. Untersuchung zum Einfluss der Düseninnenströmung auf die Stabilität von flächigen Flüssigkeitsstrahlen. PhD thesis, Technische Universität Darmstadt, 2003.

    Google Scholar 

  5. M. Klein. Direkte numerische Simulation des primären Strahlzerfalls in Einstoffzerstäuberdüsen. PhD thesis, Technische Universität Darmstadt, 2002.

    Google Scholar 

  6. Y. Pan and K. Suga. Simulation of liquid jet breakup by the level set method. In In Proc. 9th Int. Conf. on Liquid Atomization and Spray Systems, Aichi 480–1192, Japan, 2003.

    Google Scholar 

  7. H. Hiroyasu. Spray breakup mechanism from the hole-type nozzle and its applications. Atomization and Sprays, Vol. 10, pp. 511–527, 2000.

    Google Scholar 

  8. M. Rieber. Numerische Modellierung der Dynamik freier Grenzflächen in Zweiphasenströmungen. PhD thesis, Universität Stuttgart, 2004.

    Google Scholar 

  9. C.W. Hirt and B.D. Nichols. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics, Vol. 39, pp. 201–225, 1981.

    Article  MATH  Google Scholar 

  10. W.J. Rider and D.B. Kothe. Reconstructing volume tracking. Journal of Computational Physics, Vol. 141, pp. 112–152, 1998.

    Article  MATH  Google Scholar 

  11. M. Klein, A. Sadiki, and J. Janicka. A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations. Journal of Computational Physics, Vol. 186, pp. 652–665, 2003.

    Article  MATH  Google Scholar 

  12. R.D. Moser, J. Kim, and N.N. Mansour. Direct numerical simulation of turbulent channel flow up to Retau = 590. Physics of Fluids, Vol. 11, pp. 943–945, 1999.

    Article  Google Scholar 

  13. T. Lund, X. Wu, and D. Squires. Generation of turbulent inflow data for spatially-developing boundary layer simulations. Journal of computational. physics, Vol. 140, pp. 233–258, 1998.

    Article  MATH  Google Scholar 

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

    MATH  Google Scholar 

  15. P. Wu, R. Miranda, and Faeth G. Effect of initial inflow conditions on primary break-up of nonturbulent and turbulent jets. Atomization and Sprays, Vol. 5, pp. 175–196, 1995.

    Google Scholar 

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Sander, W., Weigand, B. (2007). Direct Numerical Simulation of Primary Breakup Phenomena in Liquid Sheets. In: Nagel, W.E., Jäger, W., Resch, M. (eds) High Performance Computing in Science and Engineering ’06. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36183-1_16

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