Three-dimensional binary-liquid lattice Boltzmann simulation of microchannels with rectangular cross sections

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Title: Three-dimensional binary-liquid lattice Boltzmann simulation of microchannels with rectangular cross sections
Authors: Kuzmin, A.1 shurik.kuzmin@gmail.com, Januszewski, M.2 michalj@gmail.com, Eskin, D.3 deskin@slb.com, Mostowfi, F.3 fmostowfi@slb.com, Derksen, J.J.1 jos@ualberta.ca
Source: Chemical Engineering Journal. Dec2011, Vol. 178, p306-316. 11p.
Subjects: Lattice Boltzmann methods, Microreactors, Fluid dynamics, Reynolds number, Boundary value problems, Vortex motion, Parameter estimation
Abstract: Abstract: The classical Bretherton problem describes the propagation of gas fingers through liquid media in a narrow channel with thin liquid films between bubbles and channel walls. The bubble shape and flow patterns are complicated functions of the capillary number Ca and Reynolds number Re. Recently, we investigated the applicability and parameter selection for the two-dimensional Bretherton problem (flow between parallel plates) using the free-energy binary liquid lattice Boltzmann method (LBM) . This paper is the continuation of our previous work with simulations of three-dimensional channels with rectangular (mostly square) cross sections in the range of the capillary number 0.05≤ Ca ≤6.0. The flow is driven by a body force, and periodic boundary conditions are applied in the streamwise direction. The results show that the binary liquid model is able to correctly capture a number of phenomena occurring in three-dimensional capillaries, such as the existence of a vortex in front of the bubble and the way bubble radii depend on the capillary number. We conclude that lattice Boltzmann free energy binary liquid model can be used to simulate the Bretherton problem with good accuracy. [Copyright &y& Elsevier]
Copyright of Chemical Engineering Journal is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Three-dimensional binary-liquid lattice Boltzmann simulation of microchannels with rectangular cross sections
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  Data: <searchLink fieldCode="AR" term="%22Kuzmin%2C+A%2E%22">Kuzmin, A.</searchLink><relatesTo>1</relatesTo><i> shurik.kuzmin@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Januszewski%2C+M%2E%22">Januszewski, M.</searchLink><relatesTo>2</relatesTo><i> michalj@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Eskin%2C+D%2E%22">Eskin, D.</searchLink><relatesTo>3</relatesTo><i> deskin@slb.com</i><br /><searchLink fieldCode="AR" term="%22Mostowfi%2C+F%2E%22">Mostowfi, F.</searchLink><relatesTo>3</relatesTo><i> fmostowfi@slb.com</i><br /><searchLink fieldCode="AR" term="%22Derksen%2C+J%2EJ%2E%22">Derksen, J.J.</searchLink><relatesTo>1</relatesTo><i> jos@ualberta.ca</i>
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  Data: <searchLink fieldCode="JN" term="%22Chemical+Engineering+Journal%22">Chemical Engineering Journal</searchLink>. Dec2011, Vol. 178, p306-316. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Lattice+Boltzmann+methods%22">Lattice Boltzmann methods</searchLink><br /><searchLink fieldCode="DE" term="%22Microreactors%22">Microreactors</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Reynolds+number%22">Reynolds number</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Vortex+motion%22">Vortex motion</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink>
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  Data: Abstract: The classical Bretherton problem describes the propagation of gas fingers through liquid media in a narrow channel with thin liquid films between bubbles and channel walls. The bubble shape and flow patterns are complicated functions of the capillary number Ca and Reynolds number Re. Recently, we investigated the applicability and parameter selection for the two-dimensional Bretherton problem (flow between parallel plates) using the free-energy binary liquid lattice Boltzmann method (LBM) . This paper is the continuation of our previous work with simulations of three-dimensional channels with rectangular (mostly square) cross sections in the range of the capillary number 0.05≤ Ca ≤6.0. The flow is driven by a body force, and periodic boundary conditions are applied in the streamwise direction. The results show that the binary liquid model is able to correctly capture a number of phenomena occurring in three-dimensional capillaries, such as the existence of a vortex in front of the bubble and the way bubble radii depend on the capillary number. We conclude that lattice Boltzmann free energy binary liquid model can be used to simulate the Bretherton problem with good accuracy. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Chemical Engineering Journal is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.cej.2011.10.010
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        Text: English
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        Type: general
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      – SubjectFull: Fluid dynamics
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      – SubjectFull: Reynolds number
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      – SubjectFull: Boundary value problems
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      – SubjectFull: Vortex motion
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      – SubjectFull: Parameter estimation
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      – TitleFull: Three-dimensional binary-liquid lattice Boltzmann simulation of microchannels with rectangular cross sections
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              Text: Dec2011
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