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Mo H, Yong Y, Chen W, Dai J, Xu J, Yang C. Numerical Simulation on Insoluble Surfactant Mass Transfer on Deformable Bubble Interface in a Couette Flow by Phase-Field Lattice Boltzmann Method-Finite-Difference Method Hybrid Approach. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2023; 39:15162-15176. [PMID: 37643070 DOI: 10.1021/acs.langmuir.3c01242] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 08/31/2023]
Abstract
Elaborate management on bubble shape and transportations depends on the balance between multiple physical behaviors for two-phase flow with Marangoni stress and the interface mass transfer. In this paper, a new model combining PFLBM (phase-field lattice Boltzmann method) and FDM ( finite-difference method) coupling with the ghost-cell method was built. The PFLBM-FDM was validated for the high accuracy, less computational cost, and low mass loss compared to other methods. Based on the PFLBM-FDM, a surfactant-laden bubble deformed and transported in a laminar Couette flow was investigated. The deformation ratio and transportation velocity were explored with different density ratios, surface tensions, shear velocities, and diffusion coefficients. The numerical results showed that the equilibrium state of the bubble deformation was decided only by the dimensionless numbers when the Sh number was higher than 100. Moreover, the transportation velocity of the bubble can be controlled by the balance between the Marangoni stress and shear velocity. When the Sh is lower than 100, the Marangoni stress from the surfactant is not a long-range force, which only works at the early flow. Otherwise, the Marangoni stress will be a long-range force that provides a persistent force to accelerate the bubble by ∼10%. Increasing ReH will further intensify the effect. Based on all the data, a correlation of the bubble deformation including with the densities of two fluids was obtained and the error range is less 5%.
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Affiliation(s)
- Hanyang Mo
- Institute of Chemical & Environmental Engineering, China University of Mining and Technology-Beijing, Beijing 100083, China
- State Key Laboratory of Petroleum Molecular & Process Engineering, CAS Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
| | - Yumei Yong
- State Key Laboratory of Petroleum Molecular & Process Engineering, CAS Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
| | - Wenqiang Chen
- State Key Laboratory of Petroleum Molecular & Process Engineering, CAS Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
| | - Jialin Dai
- State Key Laboratory of Petroleum Molecular & Process Engineering, CAS Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
| | - Junbo Xu
- State Key Laboratory of Petroleum Molecular & Process Engineering, CAS Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
| | - Chao Yang
- Institute of Chemical & Environmental Engineering, China University of Mining and Technology-Beijing, Beijing 100083, China
- State Key Laboratory of Petroleum Molecular & Process Engineering, CAS Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
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Numerical simulation of the Marangoni flow on mass transfer from single droplet with different Reynolds numbers. Colloids Surf A Physicochem Eng Asp 2022. [DOI: 10.1016/j.colsurfa.2022.128385] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Single Contaminated Drops Falling through Stagnant Liquid at Low Reynolds Numbers. FLUIDS 2022. [DOI: 10.3390/fluids7020055] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/07/2022]
Abstract
Numerical simulations of contaminated spherical drops falling through a stagnant liquid at low Reynolds numbers are carried out using the finite difference method. The numerical results are used to describe the behavior of the surfactant concentrations and to understand the surfactant effects on the fluid motions in detail. The predicted interfacial surfactant concentration, Γ, is almost zero for angles, θ, below a certain value (the stagnant-cap angle, θcap), whereas it steeply increases and reaches a large value for θ>θcap (the stagnant-cap region). The increase in the initial surfactant concentration, C0, in the drop enhances the adsorption from the drop to the interface, which results in the increase in Γ and the decrease in θcap. Peaks appear in the predicted Marangoni stresses around θcap, which causes similar peaks in the pressure distribution. The high-pressure spots prevent the fluid motion along the interface, which results in the formation of the stagnant-cap region and the attenuation of the tangential velocity in the continuous phase. The surfactant flux from the bulk to the interface decreases C in the vicinity of the interface for θ<θcap and the weak diffusion cannot compensate for the reduction in C by adsorption, which results in C at the interface smaller than C0. The pattern of the low C region is determined by the advection and does not smear out because of a small diffusive flux.
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Schulz JM, Petzold M, Böhm L, Kraume M. Tropfenbewegung und Stofftransport in technischen Flüssig/flüssig‐Systemen. Teil 2: Auswirkung von Grenzflächeneffekten und Verunreinigungen. CHEM-ING-TECH 2021. [DOI: 10.1002/cite.202000247] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Joschka M. Schulz
- Technische Universität Berlin Fachgebiet Verfahrenstechnik Ackerstraße 76 13355 Berlin Deutschland
| | - Marc Petzold
- Technische Universität Berlin Fachgebiet Verfahrenstechnik Ackerstraße 76 13355 Berlin Deutschland
| | - Lutz Böhm
- Technische Universität Berlin Fachgebiet Verfahrenstechnik Ackerstraße 76 13355 Berlin Deutschland
| | - Matthias Kraume
- Technische Universität Berlin Fachgebiet Verfahrenstechnik Ackerstraße 76 13355 Berlin Deutschland
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Heine JS, Schulz JM, Junne H, Böhm L, Kraume M, Bart H. Real‐Time Visualization of Internal and External Concentration Fields in Multiphase Systems via Laser‐induced Fluorescence and Rainbow Schlieren Deflectometry During and After Droplet Production. CHEM-ING-TECH 2020. [DOI: 10.1002/cite.202000135] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Jens Stefan Heine
- Technische Universität Kaiserslautern Thermische Verfahrenstechnik Gottlieb-Daimler Straße 67663 Kaiserslautern Germany
| | - Joschka Marco Schulz
- Technische Universität Berlin Chair of Chemical and Process Engineering Ackerstraße 76 13355 Berlin Germany
| | - Henning Junne
- Technische Universität Berlin Chair of Chemical and Process Engineering Ackerstraße 76 13355 Berlin Germany
| | - Lutz Böhm
- Technische Universität Berlin Chair of Chemical and Process Engineering Ackerstraße 76 13355 Berlin Germany
| | - Matthias Kraume
- Technische Universität Berlin Chair of Chemical and Process Engineering Ackerstraße 76 13355 Berlin Germany
| | - Hans‐Jörg Bart
- Technische Universität Kaiserslautern Thermische Verfahrenstechnik Gottlieb-Daimler Straße 67663 Kaiserslautern Germany
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Karimi S, Shafiee M, Ghadam F, Abiri A, Abbasi H. Experimental study on drag coefficient of a rising bubble in the presence of rhamnolipid as a biosurfactant. J DISPER SCI TECHNOL 2020. [DOI: 10.1080/01932691.2019.1711109] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Affiliation(s)
- Safoora Karimi
- Department of Chemical Engineering, Jundi-Shapur University of Technology, Dezful, Iran
| | - Mojtaba Shafiee
- Department of Chemical Engineering, Jundi-Shapur University of Technology, Dezful, Iran
| | - Farzad Ghadam
- Department of Mechanical Engineering, Jundi-Shapur University of Technology, Dezful, Iran
| | - Ana Abiri
- Department of Chemical Engineering, Jundi-Shapur University of Technology, Dezful, Iran
| | - Habib Abbasi
- Department of Chemical Engineering, Jundi-Shapur University of Technology, Dezful, Iran
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Zhang J, Wang Y, Stevens GW, Fei W. A state-of-the-art review on single drop study in liquid–liquid extraction: Experiments and simulations. Chin J Chem Eng 2019. [DOI: 10.1016/j.cjche.2019.03.025] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
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Salehi MS, Afshin H, Firoozabadi B. Numerical investigation of dynamics of drop motion using lattice Boltzmann method. J Mol Liq 2019. [DOI: 10.1016/j.molliq.2019.111926] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Dana M, Sobati MA, Shahhosseini S, Rahbar-kelishami A. SEPARATION OF SULFUR-CONTAINING COMPOUNDS FROM DIESEL BY OXIDATION FOLLOWED BY SOLVENT EXTRACTION IN A SINGLE DROP COLUMN. BRAZILIAN JOURNAL OF CHEMICAL ENGINEERING 2019. [DOI: 10.1590/0104-6632.20190363s20180521] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Roshdi S, Kasiri N, Rahbar-Kelishami A. Simulation of Marangoni convection effects on the hydrodynamics of liquid–liquid extraction drops. CHEM ENG COMMUN 2019. [DOI: 10.1080/00986445.2018.1564665] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Sepideh Roshdi
- Computer Aided Process Engineering Center, School of Chemical Oil, and Gas Engineering, Iran University of Science & Technology, Narmak, Tehran, Iran
| | - Norollah Kasiri
- Computer Aided Process Engineering Center, School of Chemical Oil, and Gas Engineering, Iran University of Science & Technology, Narmak, Tehran, Iran
| | - Ahmad Rahbar-Kelishami
- School of Chemical, Oil, and Gas Engineering, Iran University of Science & Technology (IUST), Narmak, Tehran, Iran
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Roshdi S, Kasiri N, Rahbar-Kelishami A. VOF SIMULATION OF SINGLE RISING DROPS IN THREE LIQUID-LIQUID EXTRACTION SYSTEMS USING CSF AND CSS INTERFACIAL FORCE MODELS. BRAZILIAN JOURNAL OF CHEMICAL ENGINEERING 2018. [DOI: 10.1590/0104-6632.20180354s20170609] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Affiliation(s)
- S. Roshdi
- Iran University of Science & Technology, Iran
| | - N. Kasiri
- Iran University of Science & Technology, Iran
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Heine JS, Bart HJ. Mass Transfer During Droplet Formation - A Measuring Technique Study. CHEM-ING-TECH 2017. [DOI: 10.1002/cite.201700045] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Jens S. Heine
- University of Kaiserslautern; Chair of Separation Science and Technology; PO Box 3049 67653 Kaiserslautern Germany
| | - Hans-Jörg Bart
- University of Kaiserslautern; Chair of Separation Science and Technology; PO Box 3049 67653 Kaiserslautern Germany
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Huang Z, Ye C, Li L, Zhang X, Qiu T. MEASUREMENT AND CORRELATION OF THE MASS TRANSFER COEFFICIENT FOR A LIQUID-LIQUID SYSTEM WITH HIGH DENSITY DIFFERENCE. BRAZILIAN JOURNAL OF CHEMICAL ENGINEERING 2016. [DOI: 10.1590/0104-6632.20160334s20150488] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Azizi Z, Rezaeimanesh M. Packing effect on mass transfer and hydrodynamics of rising toluene drops in stagnant liquid. Chem Eng Res Des 2016. [DOI: 10.1016/j.cherd.2016.09.003] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Grid studies for the simulation of resolved structures in an Eulerian two-fluid framework. NUCLEAR ENGINEERING AND DESIGN 2016. [DOI: 10.1016/j.nucengdes.2016.06.009] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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