“…With further efforts by Allegra and Hawlay [8] , the classical ECAH model (Epstein, Carhart, Allegra and Hawley's model) was founded as a theoretical basis of ultrasonic particle sizing. Challis et al [9] , Tebbutt and Challis [10] examined this model through numerical calculation to experimental validation. In the long wave limit, McClements [11,12] contributed an explicit solution for ECAH to be applied in droplet characterization in concentrated emulsions.…”
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
“…With further efforts by Allegra and Hawlay [8] , the classical ECAH model (Epstein, Carhart, Allegra and Hawley's model) was founded as a theoretical basis of ultrasonic particle sizing. Challis et al [9] , Tebbutt and Challis [10] examined this model through numerical calculation to experimental validation. In the long wave limit, McClements [11,12] contributed an explicit solution for ECAH to be applied in droplet characterization in concentrated emulsions.…”
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
“…Ultrasonic spectroscopy has been used to measure the size distribution of emulsions and colloidal dispersions with by means of well-established scattering theories relating the measured ultrasonic properties with the physical properties of the suspension (Challis et al, 2005;McClements and Povey, 1989;Tebbutt and Challis, 1996). This approach has been used to a lesser extent to characterize crystal dispersions.…”
“…The ECAH model is getting increasing attention [18]. Through the processing of a mathematical model related to the propagation of ultrasonic waves in suspension, the ultrasonic propagation velocity and attenuation coefficient are correlated with the particle characterization, such as particle size distribution and concentration [19]. Its measurement principle can be described as: the physical properties of the continuous phase and the particle are known.…”
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