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.
Similar content being viewed by others
References
Hirleman E D. Particle sizing by optical, nonimaging techniques. In: Tishkoff J Met al. ed.Liquid Droplet Size Measurement Techniques. Kansas City. ASTM, 1984
Delves L M, Walsh J.Numerical Solution Of Integral Equations. Clarendon: Oxford, 1974
He Jin, Wang Shimin, Cheng Jianchun,et al. Inversion of particle size distribution from light scattering spectrum.Inverse Problems, 1996,12: 633–639
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.
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
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
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
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
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
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
Van de Hulst H C.Light Scattering by Small Particles. New York: Dover, 1981
Hodkinson J R. Particle sizing by means of the forward scattering lobe.Appl Opt, 1966,5: 839–844
Peleg M, Mormand M D, Nussinovitch A.. On theoretical mixed particle populations with a unimodal size disribution.Powder Tech, 1991,33: 281–284
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
Author information
Authors and Affiliations
Additional information
Ye Mao: born in 1973, Ph. D student
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02830042