TY - JOUR
T1 - Interfacial area transport equation for bubble coalescence and breakup
T2 - Developments and comparisons
AU - Chen, Huiting
AU - Wei, Shiyu
AU - Ding, Weitian
AU - Wei, Han
AU - Li, Liang
AU - Saxén, Henrik
AU - Long, Hongming
AU - Yu, Yaowei
N1 - Funding Information:
Funding: This research was funded by The Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning (No. TP2015039), National 111 Project (The Program of Introducing Talents of Discipline to University), Grant Award Number: D17002, The Open Project Program of Anhui Province Key Laboratory of Metallurgical Engineering & Resource Recycling (Anhui University of Technology) No: SKF20‐01 and Project No: 51974182 supported by NSFC.
Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
PY - 2021/8
Y1 - 2021/8
N2 - Bubble coalescence and breakup play important roles in physical‐chemical processes and bubbles are treated in two groups in the interfacial area transport equation (IATE). This paper presents a review of IATE for bubble coalescence and breakup to model five bubble interaction mechanisms: bubble coalescence due to random collision, bubble coalescence due to wake entrainment, bubble breakup due to turbulent impact, bubble breakup due to shearing‐off, and bubble breakup due to surface instability. In bubble coalescence, bubble size, velocity and collision frequency are dominant. In bubble breakup, the influence of viscous shear, shearing‐off, and surface instability are neglected, and their corresponding theory and modelling are rare in the literature. Furthermore, combining turbulent kinetic energy and inertial force together is the best choice for the bubble breakup criterion. The reviewed one‐group constitutive models include the one developed by Wu et al., Ishii and Kim, Hibiki and Ishii, Yao and Morel, and Nguyen et al. To extend the IATE prediction capability beyond bubbly flow, two‐group IATE is needed and its performance is strongly dependent on the channel size and geometry. Therefore, constitutive models for two‐group IATE in a three‐type channel (i.e., narrow confined channel, round pipe and relatively larger pipe) are summarized. Although great progress in extending the IATE beyond churn‐turbulent flow to churnannual flow was made, there are still some issues in their modelling and experiments due to the highly distorted interface measurement. Regarded as the challenges to be addressed in the further study, some limitations of IATE general applicability and the directions for future development are highlighted.
AB - Bubble coalescence and breakup play important roles in physical‐chemical processes and bubbles are treated in two groups in the interfacial area transport equation (IATE). This paper presents a review of IATE for bubble coalescence and breakup to model five bubble interaction mechanisms: bubble coalescence due to random collision, bubble coalescence due to wake entrainment, bubble breakup due to turbulent impact, bubble breakup due to shearing‐off, and bubble breakup due to surface instability. In bubble coalescence, bubble size, velocity and collision frequency are dominant. In bubble breakup, the influence of viscous shear, shearing‐off, and surface instability are neglected, and their corresponding theory and modelling are rare in the literature. Furthermore, combining turbulent kinetic energy and inertial force together is the best choice for the bubble breakup criterion. The reviewed one‐group constitutive models include the one developed by Wu et al., Ishii and Kim, Hibiki and Ishii, Yao and Morel, and Nguyen et al. To extend the IATE prediction capability beyond bubbly flow, two‐group IATE is needed and its performance is strongly dependent on the channel size and geometry. Therefore, constitutive models for two‐group IATE in a three‐type channel (i.e., narrow confined channel, round pipe and relatively larger pipe) are summarized. Although great progress in extending the IATE beyond churn‐turbulent flow to churnannual flow was made, there are still some issues in their modelling and experiments due to the highly distorted interface measurement. Regarded as the challenges to be addressed in the further study, some limitations of IATE general applicability and the directions for future development are highlighted.
KW - Bubble coalescence and breakup
KW - Bubble interaction mechanisms
KW - Flow pattern transition
KW - Interfacial area transport equation
UR - http://www.scopus.com/inward/record.url?scp=85114022867&partnerID=8YFLogxK
U2 - 10.3390/e23091106
DO - 10.3390/e23091106
M3 - Review Article or Literature Review
AN - SCOPUS:85114022867
SN - 1099-4300
VL - 23
JO - Entropy
JF - Entropy
IS - 9
M1 - 1106
ER -