THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

RETRIEVAL OF SPHERICAL PARTICLE SIZE DISTRIBUTION WITH AN IMPROVED TIKHONOV ITERATION METHOD

ABSTRACT
The problem of retrieval for spherical particle size distribution in the independent mode is studied, and an improved Tikhonov iteration method is proposed. In this method, the particle size distribution is retrieved from the light extinction data through the Phillips-Twomey method firstly in the independent mode, and then the obtained inversion results of the particle size distribution is used as the initial distribution and the final retrieved particle size distribution is obtained. Simulation experiments indicate that the spherical particle size distributions obtained with the proposed method coincide fairly well with the given distributions.
KEYWORDS
PAPER SUBMITTED: 2012-08-01
PAPER REVISED: 2012-09-05
PAPER ACCEPTED: 2012-09-12
DOI REFERENCE: https://doi.org/10.2298/TSCI1205400T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE 5, PAGES [1400 - 1404]
REFERENCES
  1. Yu, M. Z., Lin, J. Z., Chan, T. L., A New Moment Method for Solving the Coagulation Equation for Particles in Brownian Motion, Aerosol Science and Technology, 42 (2008), 9, pp. 705-713
  2. Lin, J. Z., Lin, P. F., Chen, H. J., Research on the Transport and Deposition of Nanoparticles in a Rotating Curved Pipe, Physics of Fluids, 21 (2009), 122001, pp. 1-11
  3. Yu, M. Z., Lin, J. Z., Binary Homogeneous Nucleation and Growth of Water-Sulfuric Acid Nanoparticles Using a TEMOM Model, International Journal of Heat and Mass Transfer, 53 (2010), 4, pp. 635- 644
  4. Wang, Y. M., Lin, J. Z., The Oblique Collision Efficiency of Nanoparticles at Different Angles in Brownian Coagulation, Computers and Mathematics with Applications, 61 (2011), 8, pp. 1917-1922
  5. Lin, J. Z., Qian, L. J., Xiong, H. B., Effects of Operating Conditions on the Droplet Deposition onto Surface in the Atomization Impinging Spray with an Impinging Plate, Surface and Coatings Technology, 203 (2009), 12, pp. 1733-1740
  6. Gan, F. J., Lin, J. Z., Yu, M. Z., Particle Size Distribution in a Planar Jet Flow undergoing Shear- Induced Coagulation and Breakage, Journal of Hydrodynamics, 22 (2010), 4, pp. 445-455
  7. Yu, M. Z., Lin, J. Z., Chan, T. L., Numerical Simulation of Nanoparticle Synthesis in Diffusion Flame Reactor, Powder Technology, 181 (2008), 1, pp. 9-20
  8. Ferri, F., Bassini, A., Paganini, E., Modified Version of the Chahine Algorithm to Invert Spectral Extinction Data for Particle Sizing, Applied Optics, 34 (1995), 25, pp. 5829-5839
  9. Kharchenko, A. V., Gresillon, D., Nonparticle Laser Velocimetry and Permanent Velocity Measurement by Enhanced Light Scattering, Measurement Science and Technology, 14 (2003), 2, pp. 228-233
  10. Pedocchi, F., Garcia, M. H., Noise-Resolution Trade-Off in Projection Algorithms for Laser Diffraction Particle Sizing, Applied Optics, 45 (2006), 15, pp. 3620-3628
  11. Khlebtsov, B. N., et al., Studies of Phosphatidylcholine Vesicles by Spectroturbidimetric and Dynamic Light Scattering Methods, Journal of Quantitative Spectroscopy and Radiative Transfer, 79-80 (2003), 1, pp. 825-838
  12. Wei, Y. J., Ge, B. Z., Wei, Y. L., Noise Effect in an Improved Conjugate Gradient Algorithm to Invert Particle Size Distribution and the Algorithm Amendment, Applied Optics, 48 (2009), 9, pp. 1779-1783
  13. Igushi, T., Yoshida, H., Investigation of Low-Angle Laser Light Scattering Patterns Using the Modified Twomey Iterative Method for Particle Sizing, Review of Scientific Instruments, 82 (2011), 1.015111, pp. 1-10
  14. Wang, N. N., The Optic Measurement Technology and Application of Particle Size (in Chinese), Atomic Energy Press, Bei jing, 2000
  15. Xu, F., Cai, X. S., Su, M. X., Study of Independent Model Algorithm for Determination of Particle Size Distribution, Chinese Journal of Laser, 31 (2004), 2, pp. 223-228
  16. Roy, A. K., Sharma, S. K., A Simple Analysis of the Extinction Spectrum of a Size Distribution of Mie Particles, Journal of Optics A: Pure and Applied Optics, 7 (2005), 11, pp. 675-684
  17. Vega, J. R., et al., Method for Solving an Inverse Problem with Unknown Parameters from Two Sets of Relative Measurement, Latin American Applied Research, 35 (2005), 2, pp. 149-154

© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence