Construction of mathematical model of dissolution process of solids under action of ultrasound

Authors

DOI:

https://doi.org/10.15587/2312-8372.2017.93629

Keywords:

dissolution, ultrasound, diffusion, mass transfer, intensification, cavitation, bubbles, solid granule, rate

Abstract

An influence of the ultrasound beam on the process, dissolution of solids in liquid solvents is considered: influence of frequency, intensity, velocity of acoustic vibrations, cavitation and acoustic flows on mass transfer process.

Experimental researches show that the intensification of dissolution process of solids in liquid solvents under action of ultrasound is influenced by acoustic flows, microflows and under influence of cavitation bubbles. Development of new efficient equipment for solution requires the development of calculation methods of dissolution processes of solids in liquid solvents under conditions of ultrasonic irradiation. Such methods should take into account the characteristics of ultrasonic generators, irradiation frequency of ultrasonic vibrations, power and intensity of ultrasonic vibrations.

Mathematical model of dissolution process of the granule is constructed. It identifies the change of size of the granule over time under influence of the source of ultrasonic irradiation. Mathematical model consists of three differential equations used to calculate depending on the ratio of the granule size and the maximum turbulence scale of acoustic flows and for cavitation.

The mathematical model will enable use in conducting numerous studies as a basis of equipment calculation methods for dissolution process of granular material.

Author Biographies

Viktorij Mel’nick, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», Peremohy ave., 37, Kyiv, Ukraine, 03056

Doctor of Technical Sciences, Professor, Head of Department

Department of Biotechnics and Engineering

Ludmila Ruzhinska, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», Peremohy ave., 37, Kyiv, Ukraine, 03056

PhD, Associate Professor

Department of Biotechnics and Engineering

Vitalij Forostyanko, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», Peremohy ave., 37, Kyiv, Ukraine, 03056

Department of Biotechnics and Engineering

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Published

2017-01-31

How to Cite

Mel’nick, V., Ruzhinska, L., & Forostyanko, V. (2017). Construction of mathematical model of dissolution process of solids under action of ultrasound. Technology Audit and Production Reserves, 1(3(33), 28–33. https://doi.org/10.15587/2312-8372.2017.93629

Issue

Vol. 1 No. 3(33) (2017): Chemical Engineering

Section

Chemical and Technological Systems: Original Research

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Copyright (c) 2017 Ludmila Ruzhinska, Viktorij Mel’nick, Vitalij Forostyanko

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