A new semi-empirical technic has been established relying on the linkage between the chemistry in the bulk liquid and that taking place in the acoustic cavitation bubble. The open-source COPASI software has been used for the optimization of number density according to the total yield of a single bubble and the fitting of the experimental yield of hydrogen peroxide in the sonicated solution. It was observed that the number density is increased with the rise of ultrasound frequency from 200 to 1140 kHz, independently of the saturating gas nature (O2, Ar or air). | Received 18 November 2022 Revised 15 February 2023 Accepted 5 May 2023 DOI RESEARCH ARTICLE A semi-empirical approach for determining the number density and void fraction of acoustic cavitation bubbles in sono-reactors Aissa Dehane Slimane Merouani Laboratory of Environmental Process Engineering Department of Chemical Abstract Engineering Faculty of Process Engineering A new semi-empirical technic has been established relying on the linkage University Constantine 3 Salah Boubnider Constantine Algeria between the chemistry in the bulk liquid and that taking place in the acoustic cavitation bubble. The open-source COPASI software has been used for the opti- Correspondence mization of number density according to the total yield of a single bubble and the Aissa Dehane Laboratory of Environmental fitting of the experimental yield of hydrogen peroxide in the sonicated solution. It Process Engineering Department of Chemical was observed that the number density is increased with the rise of ultrasound fre- Engineering Faculty of Process Engineering University Constantine 3 Salah Boubnider . quency from 200 to 1140 kHz independently of the saturating gas nature O2 Ar Box 72 25000 Constantine Algeria. or air . Within this range of wave frequencies . from 200 to 1140 kHz the num- Email aissaleon15@ ber of active bubbles goes up from 107 to 1015 L 1 s 1 . On the other aissaleon@ side it has been demonstrated that the number density obtained under air atmo- Funding information sphere is greater than that resulting either under argon or oxygen-saturating gas. Ministry of Higher Education and Scientific Interestingly with respect to the saturating gas nature O2 Ar air and the range of Research of Algeria Grant Award Number ultrasound frequency 200 1140 kHz it was observed that the increase of num- A16N01UN250320220002 General Directorate of Scientific Research and Technological ber density was not necessarily accompanied .
