An Euler-Lagrange method considering bubble radial dynamics for modeling sonochemical reactors

Jamshidi, R and Brenner, G (2014) An Euler-Lagrange method considering bubble radial dynamics for modeling sonochemical reactors. Ultrasonics Sonochemistry, 21 (1). pp. 154-161. ISSN 1350-4177

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Abstract

Unsteady numerical computations are performed to investigate the flow field, wave propagation and the structure of bubbles in sonochemical reactors. The turbulent flow field is simulated using a two-equation Reynolds-Averaged Navier-Stokes (RANS) model. The distribution of the acoustic pressure is solved based on the Helmholtz equation using a finite volume method (FVM). The radial dynamics of a single bubble are considered by applying the Keller-Miksis equation to consider the compressibility of the liquid to the first order of acoustical Mach number. To investigate the structure of bubbles, a one-way coupling Euler-Lagrange approach is used to simulate the bulk medium and the bubbles as the dispersed phase. Drag, gravity, buoyancy, added mass, volume change and first Bjerknes forces are considered and their orders of magnitude are compared. To verify the implemented numerical algorithms, results for one- and two-dimensional simplified test cases are compared with analytical solutions. The results show good agreement with experimental results for the relationship between the acoustic pressure amplitude and the volume fraction of the bubbles. The two-dimensional axi-symmetric results are in good agreement with experimentally observed structure of bubbles close to sonotrode. © 2013 Elsevier B.V. All rights reserved.

Item Type:	Article
Peer-reviewed:	Yes
Date Deposited:	19 Feb 2020 13:26
Publisher:	Elsevier
Additional Information:	This is an Accepted Manuscript of an article which appeared in Ultrasonics Sonochemistry, published by Elsevier
Divisions:	Faculties > Science and Engineering
Subject terms:	Science & Technology, Technology, Physical Sciences, Acoustics, Chemistry, Multidisciplinary, Chemistry, Sonochemical reactor, Bubble dynamics, Euler-Lagrange method, Keller-Miksis equation, INHOMOGENEOUS DENSITY DISTRIBUTION, LINEAR PRESSURE FIELDS, ACOUSTIC CAVITATION, SPATIOTEMPORAL DYNAMICS, ULTRASOUND PROPAGATION, DESIGN, SIMULATIONS, Bubble dynamics, Euler–Lagrange method, Keller–Miksis equation, Sonochemical reactor, Organic Chemistry, 0306 Physical Chemistry (incl. Structural), 0913 Mechanical Engineering
URI:	https://e-space.mmu.ac.uk/id/eprint/625139
DOI:	https://doi.org/10.1016/j.ultsonch.2013.05.002
ISSN	1350-4177
e-ISSN	1873-2828

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