Numerical Investigation of Gas Bubble Interaction in a Circular Cross-Section Channel in Shear Flow

This work’s goal is to numerically investigate the interactions between two gas bubbles in a fluid flow in a circular cross-section channel, both in the presence and in the absence of gravitational forces, with several Reynolds and Weber numbers. The first bubble is placed at the center of the chann...

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Main Authors: Daniel B. V. Santos, Gustavo P. Oliveira, Norberto Mangiavacchi, Prashant Valluri, Gustavo R. Anjos
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Fluids
Subjects:
Online Access:https://www.mdpi.com/2311-5521/9/2/32
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author Daniel B. V. Santos
Gustavo P. Oliveira
Norberto Mangiavacchi
Prashant Valluri
Gustavo R. Anjos
author_facet Daniel B. V. Santos
Gustavo P. Oliveira
Norberto Mangiavacchi
Prashant Valluri
Gustavo R. Anjos
author_sort Daniel B. V. Santos
collection DOAJ
description This work’s goal is to numerically investigate the interactions between two gas bubbles in a fluid flow in a circular cross-section channel, both in the presence and in the absence of gravitational forces, with several Reynolds and Weber numbers. The first bubble is placed at the center of the channel, while the second is near the wall. Their positions are set in such a way that a dynamic interaction is expected to occur due to their velocity differences. A finite element numerical tool is utilized to solve the incompressible Navier–Stokes equations and simulate two-phase flow using an unfitted mesh to represent the fluid interface, akin to the front-tracking method. The results show that the velocity gradient influences bubble shapes near the wall. Moreover, lower viscosity and surface tension force account for more significant interactions, both in the bubble shape and in the trajectory. In this scenario, it can be observed that one bubble is trapped in the other’s wake, with the proximity possibly allowing the onset of coalescence. The results obtained contribute to a deeper understanding of two-phase inner flows.
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spelling doaj.art-88fc654583a94a8faaf8fb1244ecf88e2024-02-23T15:16:11ZengMDPI AGFluids2311-55212024-01-01923210.3390/fluids9020032Numerical Investigation of Gas Bubble Interaction in a Circular Cross-Section Channel in Shear FlowDaniel B. V. Santos0Gustavo P. Oliveira1Norberto Mangiavacchi2Prashant Valluri3Gustavo R. Anjos4COPPE—Department of Mechanical Engineering, Universidade Federal do Rio de Janeiro, Rio de Janeiro 21941-914, BrazilDepartment of Scientific Computing, Universidade Federal da Paraíba, João Pessoa 58051-900, BrazilGroup of Environmental Studies and Simulations in Reservoirs—GESAR, Universidade do Estado do Rio de Janeiro, Rio de Janeiro 20940-903, BrazilSchool of Chemistry, University of Edinburgh, Edinburgh EH9 3FL, UKCOPPE—Department of Mechanical Engineering, Universidade Federal do Rio de Janeiro, Rio de Janeiro 21941-914, BrazilThis work’s goal is to numerically investigate the interactions between two gas bubbles in a fluid flow in a circular cross-section channel, both in the presence and in the absence of gravitational forces, with several Reynolds and Weber numbers. The first bubble is placed at the center of the channel, while the second is near the wall. Their positions are set in such a way that a dynamic interaction is expected to occur due to their velocity differences. A finite element numerical tool is utilized to solve the incompressible Navier–Stokes equations and simulate two-phase flow using an unfitted mesh to represent the fluid interface, akin to the front-tracking method. The results show that the velocity gradient influences bubble shapes near the wall. Moreover, lower viscosity and surface tension force account for more significant interactions, both in the bubble shape and in the trajectory. In this scenario, it can be observed that one bubble is trapped in the other’s wake, with the proximity possibly allowing the onset of coalescence. The results obtained contribute to a deeper understanding of two-phase inner flows.https://www.mdpi.com/2311-5521/9/2/32two-phase flowsemi-Lagrangian methodLaplace–Beltrami operatorCFD
spellingShingle Daniel B. V. Santos
Gustavo P. Oliveira
Norberto Mangiavacchi
Prashant Valluri
Gustavo R. Anjos
Numerical Investigation of Gas Bubble Interaction in a Circular Cross-Section Channel in Shear Flow
Fluids
two-phase flow
semi-Lagrangian method
Laplace–Beltrami operator
CFD
title Numerical Investigation of Gas Bubble Interaction in a Circular Cross-Section Channel in Shear Flow
title_full Numerical Investigation of Gas Bubble Interaction in a Circular Cross-Section Channel in Shear Flow
title_fullStr Numerical Investigation of Gas Bubble Interaction in a Circular Cross-Section Channel in Shear Flow
title_full_unstemmed Numerical Investigation of Gas Bubble Interaction in a Circular Cross-Section Channel in Shear Flow
title_short Numerical Investigation of Gas Bubble Interaction in a Circular Cross-Section Channel in Shear Flow
title_sort numerical investigation of gas bubble interaction in a circular cross section channel in shear flow
topic two-phase flow
semi-Lagrangian method
Laplace–Beltrami operator
CFD
url https://www.mdpi.com/2311-5521/9/2/32
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