Skip to main content
Log in

In-situ measurement of droplet size distribution by light scattering method

  • Published:
Wuhan University Journal of Natural Sciences

Abstract

Inversion of droplet size distribution in two-phase flow from light scattering has been considered involved because it is in general reduced to the solution of Fredholm integral equation of the first kind that was always ill-posed. By using the Rosin-Rammler distributiona priori as the particulate size distribution model in the liquid-gas two-phase flow, a method via the solution of a two-parameter nonlinear programming problem to determine the droplet size distribution has been developed. A measurement system based on the technique is designed and applied in the shock test of blades of steam turbine. 100-hours continuous monitoring of the droplets in the liquid-gas two-phase flow of 8.0 Pa and 120 °C was performed and the details of the experiments are given out. It is shown that the technique is simple and efficient for in-situ real time measuring droplets in the liquid-gas two-phase flow.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Hirleman E D. Particle sizing by optical, nonimaging techniques. In: Tishkoff J Met al. ed.Liquid Droplet Size Measurement Techniques. Kansas City. ASTM, 1984

    Google Scholar 

  2. Delves L M, Walsh J.Numerical Solution Of Integral Equations. Clarendon: Oxford, 1974

    MATH  Google Scholar 

  3. He Jin, Wang Shimin, Cheng Jianchun,et al. Inversion of particle size distribution from light scattering spectrum.Inverse Problems, 1996,12: 633–639

    Article  MathSciNet  Google Scholar 

  4. Chin J H, Sliepcevich C M, Tribus M. Particle distributions from angular variation of forward-scattered at very small angles.J Phys Chem, 1955,59: 841–844.

    Article  Google Scholar 

  5. Chin J H, Sliepcevich C M, Tribus M. Determination of particle size distributions by means of measurements of angular variation of intensity of forward-scattered light ar very small angles.J Phys Chem, 1955,59: 844–848

    Google Scholar 

  6. Shifrin K S, Perelman A Y. Inversion of light scattering data for the determination of the spherical particle spectrum. In: Rowell R L, Stein R S ed.Electromagnetic Scattering. New York: Gordon & Breach, 1967

    Google Scholar 

  7. Koo J H, Hirleman E D. Synthesis of integral transform solutions for the reconstruction of particle-size distributions from Forward-scattered Light.Appl Opt. 1992,31: 2130–2140

    Google Scholar 

  8. Phillips D L. A technique for the numerical solution of certain integral equations of the first kind.J Ass Comput March, 1962,9: 84–96

    MATH  Google Scholar 

  9. Twomey S. On the numerical solution of fredholm integral equations of the first kind by the inversion of the linear system produced by quadrature.J Ass Comput March, 1963,10: 97–101

    MATH  Google Scholar 

  10. Ligon D A, Chen T W, Gillespie J B. Determination of aerosol parameters from light scattering data using an inverse Monte Carlo technique.Appl Opt, 1996,35: 4297–4303

    Google Scholar 

  11. Van de Hulst H C.Light Scattering by Small Particles. New York: Dover, 1981

    Google Scholar 

  12. Hodkinson J R. Particle sizing by means of the forward scattering lobe.Appl Opt, 1966,5: 839–844

    Article  Google Scholar 

  13. Peleg M, Mormand M D, Nussinovitch A.. On theoretical mixed particle populations with a unimodal size disribution.Powder Tech, 1991,33: 281–284

    Article  Google Scholar 

  14. Hirleman E D. On-line calibration technique for laser diffraction droplet sizing instruments. In: ASME Paper 83-GT-232.International Gas Turbine Conference, Phoenix, AZ: ASME, 1983

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Ye Mao: born in 1973, Ph. D student

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mao, Y., Yong, L., Tao, H. et al. In-situ measurement of droplet size distribution by light scattering method. Wuhan Univ. J. Nat. Sci. 3, 418–422 (1998). https://doi.org/10.1007/BF02830042

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02830042

Key words

Navigation