Optimization of regularization parameter of inversion in particle sizing using light extinction method

“…Additionally, a series of ultrasonic procedures converting the ultrasound signals into particle size distribution has been compiled. A modified version of the nonlinear iterative Chahine algorithm was used in the inversion calculation of particle size [13]. Compared with the algorithm originally proposed by Chahine, this method is much more stable with respect to random noise, permits a better quality of the retrieved distributions, and improves the overall reliability of the fitting [14].…”

Section: Ultrasonic Experimentsmentioning

confidence: 99%

Effects of Material Viscosity on Particle Sizing by Ultrasonic Attenuation Spectroscopy

Wang

Cai

2015

Procedia Engineering

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Ultrasonic spectroscopy is becoming a promising particle measurement technique for the characterization of emulsions and suspensions over a wide range of particle size and concentration especially in the petrochemical, pharmaceutical, adhesives, food and other industries. Compared with other competitive methods like laser diffraction, dynamic light scattering and image analysis, the approach of ultrasonic attenuation spectroscopy possesses significant superiority in the highly-concentrated particulate twophase flow measurement even in the optical opaque medium, due to the high penetrability of ultrasonic waves through medium, as well as in situ non-invasive measurement and low cost but endurable apparatus. Typically, the overall process by which the particle size distribution of a suspension is measured using ultrasonic attenuation spectroscopy can be divided into two parts: the measurement of frequency-dependent ultrasonic attenuation in two-phase system, and the inversion calculation based on the prediction of mathematical model. The modeling process relies on the fundamental relationship between attenuation spectrum and physical properties, where viscosity could be a critical and complex property because its quantity can influence the ultrasonic attenuation seriously and ultimately the inversion calculation of the resultant particle size distribution. In this paper, a variable viscosity experimental system has been established through changing the concentration of aqueous glycerol solutions or the temperature of glycerol solutions. For the sample of micron-sized glass beads, a series of experiments have been carried out to obtain the attenuation spectrum, which were predicted and interpreted using the ECAH (Epstein, Carhart, Allegra and Hawley) model simultaneously. Hence, the particle size distribution of the glass beads can be retrieved through the inversion calculation.

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“…To ensure the nonnegativity, the Non-Negative Least Square (NNLS) algorithm is integrated into the algorithm as the last step to solve the linear equation group to get Q. The gist of our algorithm is to find a trade-off point balancing the smoothness of solution and slight deviation of the reconstructed spectrum from the measured one, which can be achieved by the Generalized Cross-Validation (GCV) criterion [22,23] through minimizing the following objective function with respect to γ:…”

Section: Inversionmentioning

confidence: 99%

Particle sizing in dense two-phase droplet systems by ultrasonic attenuation and velocity spectra

Cai

Minghua

et al. 2009

Sci. China Ser. E-Technol. Sci.

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Size and size distribution of particles in particulate two-phase flow play an important role in a wide variety of industrial areas, while their measurement still remains a hard task till now. Ultrasonic wave as a mechanical vibration contains plenty of information about medium when it passes through. Thus the size distribution could be extracted from the measured ultrasonic attenuation and velocity spectra by means of well established models and data processing techniques. This paper contributes to the extraction of information of droplet size of a two-phase fat emulsion simultaneously from signals of broad-band ultrasonic attenuation and velocity spectra. According to the formulated single particle scattering model, the relationship between particle size distribution and ultrasonic spectrum is established. The sensitivities of ultrasonic spectra to the variation of particle size are illustrated. Distinguishing features for attenuation and velocity spectra are summarized. Demonstration calculations of inversion by optimum regularization factor method are carried out to yield the typical numerical results for discussion. Based on the proposed inversion algorithm and theoretical model, a fat emulsion sample with a volume fraction up to 20% is measured and analyzed. To validate the proposed ultrasonic spectrum particle sizing method, the results are compared to those obtained from optical measurement.two-phase flow, ultrasonic, particle sizing, inversion

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Optimization of regularization parameter of inversion in particle sizing using light extinction method

Cited by 47 publications

References 4 publications

The reconstruction of particle size distributions from dynamic light scattering data using particle swarm optimization techniques with different objective functions

The reconstruction of particle size distributions from dynamic light scattering data using particle swarm optimization techniques with different objective functions

Effects of Material Viscosity on Particle Sizing by Ultrasonic Attenuation Spectroscopy

Particle sizing in dense two-phase droplet systems by ultrasonic attenuation and velocity spectra

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