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Dispersed Two-Phase Flows, its Experimental Investigation and Numerical Prediction

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Part of the book series: NATO ASI Series ((NSSE,volume 154))

Abstract

The measurement of particle velocities, size distribution and concentration has become of considerable interest to environmental control and protection agencies as well as to engineers and scientists working on pollution problems. Furthermore, there are many flows in natural and industrial environment in which suspended particles influence or even dominate heat and mass transfer processes. Detailed studies of these transfer processes require suitable measuring techniques to provide information on particle velocity, size distribution and concentration and on variations of these quantities in time and space. Hence, the occurence of two-phase or multiphase flows in different fields of engineering is large and their properties differ due to the wide variety of phase combinations and due to the large number of possible flow regimes. In recent years considerable progress has been made understanding the physics of some of these regimes of dispersed two-phase flows. This understanding was achieved by means of detailed experimental investigations that will shortly be summarized in section 2 of this paper. The results of these studies entered two-phase flow modelling refining numerical prediction procedures for dispersed two-phase flows.These are looked at in section 3.

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References

  1. F. Durst and J.H. Whitelaw: Optimization of Optical Anemometers. Proceedings of the Royal Society, London, series A324 (1971) pp. 157–181.

    Article  ADS  Google Scholar 

  2. M.J. Rudd: A New Theoretical Model for the Laser-Doppler Meter. Journal of Physics E: Scientific Instruments, Vol. 2 (1969) pp. 723–726.

    Article  Google Scholar 

  3. H.D. von Stein, H.J. Pfeiffer and B. Lehmann: Vorrichtung zur Messung der Geschwindigkeit eines elektrische Wellen streuenden Objektes. Deutsche Patentanmeldung P1673403.5–52 (8.11.1967).

    Google Scholar 

  4. F. Durst and B. Ruck: Effective Particle Size Range in Laser-Doppler Anemometry. Experiments in Fluids, 5, pp. 305–314 (1987).

    Article  ADS  Google Scholar 

  5. B. Ruck: Untersuchungen zur optischen Messung von Teilchengrößen und -geschwindigkeit mit Streulichtmethoden. Dissertation Univ. Karlsruhe (1981).

    Google Scholar 

  6. R. Dändliker and B. Eliason: A Theoretical Analysis of Laser-Doppler Flowmeters. Optica Acta Vol. 21, No. 2 (1974) pp. 119–149.

    ADS  Google Scholar 

  7. R.J. Adrian and W.L. Earley: Evaluation of LDV Performance using Mie Scattering Theory. (In reference /19/) (1976) pp. 426–454.

    Google Scholar 

  8. W. Cherdron, F. Durst and G. Richter: Computer Programs to Predict the Properties of Scattered Laser Radiation. SFB 80/TM/121 (1978) Sonderforschungsbereich 80, university of Karlsruhe.

    Google Scholar 

  9. G. Mie: Beiträge zur Optik trüber Medien, speziell kolloidaler Metalllösungen. Ann. Physik 25, IV Folge, Nr. 3 (1908) pp. 377.

    Article  ADS  Google Scholar 

  10. F. Durst and B. Eliason: Properties of Laser-Doppler Signals and their Exploitation for Particle Size Measurements. Proceedings of the LDA-Symposium, University of Denmark (1975).

    Google Scholar 

  11. F. Durst and H. Umhauer: Local Measurement of Particle Velocity, Size Distribution and Concentration with a Combined Laser-Doppler Particle Sizing System. Proceedings of the LDA-Symposium, University of Denmark (1975).

    Google Scholar 

  12. R.J. Adrian and K.L. Orloff: Laser Anemometer Signals: Visibility Characteristics and Application to Particle Sizing. Journal of Applied Optics, Vol. 16 (1977) pp. 677–684.

    Article  Google Scholar 

  13. W.M. Farmer: Measurement of Particle Size, Number Density and Velocity using a Laser Interferometer. Journal of Applied Optics, Vol. 11 (1972) pp. 2603–2609.

    Article  Google Scholar 

  14. F. Durst: Scattering Phenomena and their Application in Laser-Doppler Anemometry. Journal of Applied Mathematics and Physics (ZAMP), Vol. 24, No. 4 (1973) pp. 619–643.

    Article  Google Scholar 

  15. D.M. Robinson and W.P. Chu: Diffraction Analysis of Doppler Signal Characteristics for a Cross Beam Laser Doppler Velocimeter. Journal of Applied Optics, Vol. 14 (1975) pp. 2177–2181.

    Article  Google Scholar 

  16. D.W. Roberts: Particle Sizing using Laser Interferons try. Journal of Applied Optics, Vol. 16 (1977) pp. 1861–1865.

    Article  ADS  Google Scholar 

  17. F. Durst and M. Zare: Laser-Doppler Measurements in Two-Phase Flows. Proceedings of the LDA-Symposium (1975), University of Denmark.

    Google Scholar 

  18. T. Börner, F. Durst and E. Manero: LDV Measurements of Gas-Particle Flows and Digital Data Processing. Paper No. 4.5, Proc. Third Int. Symp. on Applications of LDA to Fluid Mechanics, Lisbon, Portugal (1986).

    Google Scholar 

  19. S.L. Lee and J. Srinivasan: An LDA-Technique for Simultaneous Velocity and Size Measurement of Large Spherical Particles in a Two-Phase Suspension Flow. Int. J. of Multiphase Flow, Vol. 8, No. 1 (1982) p. 47.

    Article  Google Scholar 

  20. A. Brankovic, T. Börner and W.W. Martin: The Measurement of Mass-Transfer Coefficients of Bubbles Rising in Liquids Using Laser-Doppler Anemometry. Laser Anemometry in Fluid Mechanics, Published by Ladoan-Instituto Superior Tecnico, 1096 Lisbon, Portugal (1984).

    Google Scholar 

  21. D. Modarres, H. Tan and S. Elgobashi: Two-Component LDA Measurement in a Two-Phase Turbulent Jet. AIAA Journal, Vol. 22, No. 5 (1984).

    Google Scholar 

  22. H. Saffmann, P. Buchhave and H. Tanger: Simultaneous Measurement of Size, Concentration and Velocity of Spherical Particles by a Laser-Doppler Method. Proc. Second Int. Symp. on Applications of LDA to Fluid Mechanics, 8.1 (1984).

    Google Scholar 

  23. F. Durst: Review-Combined Measurements of Particle-Velocity, Size Distribution and Concentration. J. of Fluid Eng., Vol. 104 (1982) p. 284.

    Article  Google Scholar 

  24. D. Milojevic, T. Börner and F. Durst: Prediction of Turbulent Gas-Particle Flow Measured in Plane Confined Jets. PARTEC 86-Contribu-tion, Nürnberg, April 16–18, 1986

    Google Scholar 

  25. S.L. Lee and F. Durst: On the Motion of Particles in Turbulent Duct Flows. Int. J. Multiphase Flow, 8, No. 2, pp. 125–146.

    Google Scholar 

  26. Y. Tsuji, A. Morikawa and H. Shiomi: LDV Measurements of an Air-Solid Two-Phase Flow in a Vertical Pipe. J. of Fluid Mech., 139, (1984) pp. 417–434.

    Article  ADS  Google Scholar 

  27. F. Durst, D. Milojevic and B. Schönung: Eulerian and Lagrangian Predictions of Particulate Two-Phase Flows: A Numerical Study. Appl. Math. Modelling, vol. 8 (1984) pp. 101–115

    Article  MATH  Google Scholar 

  28. W.F. Hughes and E.W. Gaylord: Basic Equations of Engineering Science. Schaum’s Outline Series, McGraw-Hill, New York (1964).

    Google Scholar 

  29. W. Rodi: Turbulence Models and their Application in Hydraulics. IAHR-Section, Experimental and Mathematical Fluid Dynamics (1980).

    Google Scholar 

  30. S.V. Patankar and D.B. Spalding: A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows. Int. J. Heat Mass Transfer (1972) 15, pp. 1787.

    Article  MATH  Google Scholar 

  31. S.V. Patankar: Numerical Heat Transfer and Fluid Flow. McGraw-Hill, New York (1980).

    MATH  Google Scholar 

  32. P.G. Saffman: The Lift on a Small Sphere in a Slow Shear Flow. J. Fluid Mech. (1965) 22, pp. 385.

    Article  ADS  MATH  Google Scholar 

  33. S.I. Rubinow and J.B. Keller: The Transverse Force on a Spinning Sphere Moving in a Viscous Fluid. J. Fluid Mech. (1961) 11, 447.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  34. D. Migdal and D.V. Agosta: A Source Flow Model for Continuum Gas-Particle Flow. Trans. ASME, J. Appl. Mech. (1967) 34E, pp. 860.

    Google Scholar 

  35. M.P. Sharma: Numerical and Experimental Study of Gas-Particle Flows in Orifices and Venturis Application to Flowmeter Design. Ph.D. Thesis, Washington State University (1977).

    Google Scholar 

  36. CT. Crowe, M.P. Sharma and D.E. Stock: The Particle Source-In-Cell (PSI-Cell) Model for Gas Droplet Flows. Trans. ASME, J. Fluids Engng (1977) 325.

    Google Scholar 

  37. M.P. Sharma, D.K. Cornelius, J.G. Rice and D.R. Dougan: Numerical Computation of Swirling Gas-Particle Flows: Application to Pulverized Coal Classifiers. ASME Winter Annual meeting, Nov. 1980, Paper No. 80-WA/HT-31.

    Google Scholar 

  38. F.C. Lockwood, A.P. Salooja and S.A. Syed: A Prediction Method for Coal-Fired Furnaces. Combust. Flame (1980) 38, 1.

    Article  Google Scholar 

  39. R. Cliff and W.H. Gauvin: Motion of Entrained Particles in Gas Streams. J. Chem. Eng. (1971) A9, pp. 439.

    Google Scholar 

  40. A.M. Al-Taweel, J.F. Carley: Dynamics of Single Spheres in Pulsated Flowing Liquids. A.I.Ch.E.-Symposium Series, 67, 1971.

    Google Scholar 

  41. B. Schönung: Numerische Simulation teilchenbeladener vertikaler Rohrströmungen. Ph.D.-Thesis, University of Karlsruhe, 1983.

    Google Scholar 

  42. W.H. Snyder and J.L. Lumley: Some Measurements of Particle Velocity Autocorrelation Functions in a Turbulent Flow. J. Fluid Mech. (1971) Vol. 48, part 1, pp. 41–71.

    Article  ADS  Google Scholar 

  43. D. Milojevic: Lagrangian Stochastic Deterministic Model (LSD) for the Prediction of Turbulent Fluid-Particle Flows. Presented at 2nd Workshop of Two-Phase Flow Predictions, Erlangen, FRG, (1985).

    Google Scholar 

  44. B.E. Launder: Second-Moment Closure: Methodology and Practice in Turbulent Models and Their Applications. Direction des Etudes et Recherches d’Electricité de France (1984).

    Google Scholar 

  45. M.R. Wells and D.E. Stock: The Effects of Crossing Trajectories on the Dispersion of Particles in a Turbulent Flow. J. Fluid Mech. (1983) vol. 136, pp. 31–62.

    Article  ADS  Google Scholar 

  46. D. Milojevic: Lagrangian Stochastic-Deterministic (LSD) Predictions of Particle Dispersion in Turbulence. To be published.

    Google Scholar 

  47. G. Arnason: Measurement of Particle Dispersion in Turbulent Pipe Flow. Ph.D. Thesis, Washington State University, Pullman (1982).

    Google Scholar 

  48. F. Durst, T. Borner, M. Arnal and H. Zeisel: Work-Shop on Two-Phase Flow Predictions. LSTM-Report No. 57/N/84, Lehrstuhl für Strömungsmechanik, Univ. Erlangen-Nürnberg (1984).

    Google Scholar 

  49. D. Milojevic, T. Börner and F. Durst: Second Work-Shop on Two-Phase Flow Predictions. KFA-Jülich, Bilateral Seminars of the International Bureau, Jülich (1985).

    Google Scholar 

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© 1989 Kluwer Academic Publishers

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Durst, F., Börner, T. (1989). Dispersed Two-Phase Flows, its Experimental Investigation and Numerical Prediction. In: Durão, D.F.G., Whitelaw, J.H., Witze, P.O. (eds) Instrumentation for Combustion and Flow in Engines. NATO ASI Series, vol 154. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2241-9_17

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  • DOI: https://doi.org/10.1007/978-94-009-2241-9_17

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