Level-set simulations of buoyancy-driven motion of single and multiple bubbles

Balcázar, Néstor; Lehmkuhl, O.; Jofre, L.; Oliva, A.

doi:10.1016/j.ijheatfluidflow.2015.07.004

Cited by 72 publications

(78 citation statements)

References 57 publications

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“…3 shows the results corresponding to the test case. Good agreement was found with results reported by Balcázar [23]. Finally, Tab.…”

Section: Validation On Single Bubble Rising In Viscous Liquidsupporting

confidence: 90%

“…A). Ψ ρ0 = −ρ 0 g represents an extra source term needed to compensate the weight of the fluids within the domain [16,23], where ρ 0 = 1 VΩ Ω ρdV and V Ω is the domain's volume. Finally, ρ and µ can be obtained by the following expressions:…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…In the present section, the proposed CLS -Moving Mesh method is assessed in a three-dimensional rising bubble. Results are compared against those of Balcázar [23]. Flow regime is defined by setting the following dimensionless numbers: The initial state and the mesh configuration is sketched in Fig.…”

Section: Validation On Single Bubble Rising In Viscous Liquidmentioning

confidence: 99%

“…The Conservative Level-Set method (CLS) used in the present work was developed by Balcázar et al [21], in the framework of finite-volume discretization and unstructured meshes. This method greatly reduces the problem of mass conservation of the standard Level-Set methods, and it was thoroughly verified in [22,23].…”

Section: Introductionmentioning

confidence: 95%

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Numerical study of Taylor bubbles rising in a stagnant liquid using a level-set/moving-mesh method

Gutiérrez

Balcázar

Bartrons

et al. 2017

Chemical Engineering Science

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An Arbitrary Lagrangian-Eulerian formulation has been posed to solve the challenging problem of the three-dimensional Taylor bubble, within a Conservative Level Set (CLS) framework. By employing a domain optimization method (i.e. the moving mesh method), smaller domains can be used to simulate rising bubbles, thus saving computational resources. As the method requires the use of open boundaries, a careful treatment of both inflow and outflow boundary conditions has been carried out. The coupled CLS - moving mesh method has been verified by means of extensive numerical tests. The challenging problem of the full three-dimensional Taylor bubble has then been thoroughly addressed, providing a detailed description of its features. The study also includes a sensitivity analyses with respect to the initial shape of the bubble, the initial volume of the bubble, the flow regime and the inclination of the channel.Postprint (author's final draft

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“…3 shows the results corresponding to the test case. Good agreement was found with results reported by Balcázar [23]. Finally, Tab.…”

Section: Validation On Single Bubble Rising In Viscous Liquidsupporting

confidence: 90%

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Validation On Single Bubble Rising In Viscous Liquidmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

See 2 more Smart Citations

Numerical study of Taylor bubbles rising in a stagnant liquid using a level-set/moving-mesh method

Gutiérrez

Balcázar

Bartrons

et al. 2017

Chemical Engineering Science

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show abstract

“…Recently, [29] has introduced a conservative level-set method (CLS) where mass conservation problem is greatly reduced, while an hyperbolic tangent function is employed as the level-set function. Moreover, this approach has been generalized to unstructured meshes by [1,2,3], in the framework of finite-volume discretizations.…”

Section: Introductionmentioning

confidence: 99%

A coupled volume-of-fluid/level-set method for simulation of two-phase flows on unstructured meshes

et al. 2016

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This paper presents a methodology for simulation of two-phase flows with surface tension in the framework of unstructured meshes, which combines volume-of-fluid with level-set methods. While the volume-of-fluid transport relies on a robust and accurate polyhedral library for interface advection, surface tension force is calculated by using a level-set function reconstructed by means of a geometrical procedure. Moreover the solution of the fluid flow equations is performed through the fractional step method, using a finite-volume discretization on a collocated grid arrangement. The numerical method is validated against two-and three-dimensional test cases well established in the literature. Conservation properties of this method are shown to be excellent, while geometrical accuracy remains satisfactory even for

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Interaction of two differently sized bubbles in a viscous liquid

Zhang

Chen

You

et al. 2018

Asia-Pacific J Chem Eng

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Interaction of two in-line bubbles with different size in a viscous liquid is studied using volume-of-fluid method. Simulations are performed on initially spherical bubbles starting from rest. The influences of size ratio 0.5 ≤ R ≥ 1 and initial distance ratio 1.7 ≤ S ≥ 3 are investigated with fixed Eötvös number Eo = 50, Galilei number Ga = 100, density ratio η = 1,000, and viscosity ratio λ = 100. Two arrangement patterns are considered, the small-big arrangement (SBA) and big-small arrangement (BSA). Two distinct evolution regimes are defined: coalescence and penetration. The bubble-bubble interaction is intensified by increasing R and decreasing S, promoting the possibility of coalescence. Penetration is more prone to occur in BSA than in SBA, and it is absent in BSA when R ≤ 0.625 regardless of S. The ascending velocity of the leading bubble (LB) is nearly independent of size ratio, initial distance ratio, and arrangement pattern, since the motion of the LB is little influenced by the trailing bubble (TB). Meanwhile, the ascending velocity of the TB increases with increasing R and decreasing S. The LB usually plays a dominant role in the interaction, especially in BSA.KEYWORDS arrangement pattern, bubble-bubble interaction, initial distance ratio, size ratio, VOF

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Level-set simulations of buoyancy-driven motion of single and multiple bubbles

Abstract: 20Keywords: 21Bubble dynamics 22Level-set method 23Multiphase flow 24

Cited by 72 publications

References 57 publications

Numerical study of Taylor bubbles rising in a stagnant liquid using a level-set/moving-mesh method

Numerical study of Taylor bubbles rising in a stagnant liquid using a level-set/moving-mesh method

A coupled volume-of-fluid/level-set method for simulation of two-phase flows on unstructured meshes

Interaction of two differently sized bubbles in a viscous liquid

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