Electrohydrodynamics of a droplet in a highly confined domain: A numerical study

Saghatchi, Roozbeh; Rahmat, Amin; Yıldız, Mehmet

doi:10.1063/5.0028818

Cited by 20 publications

(11 citation statements)

References 53 publications

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“…20 50,51 or even finer. 52 Further simulations were conducted for prolate-and oblate-type deformations by increasing Ca E . Figure 8(a) shows the summary of the results and the comparison with the analytical expressions proposed by Feng, 46 Taylor, 53 and Ajavi.…”

Section: Deformation Of a Droplet Subjected To An Electric Fieldmentioning

confidence: 99%

An enriched finite element/level-set model for two-phase electrohydrodynamic simulations

et al. 2023

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In this work, a numerical model for the simulation of two-phase electrohydrodynamic (EHD) problems is proposed. It is characterized by a physically consistent treatment of surface tension as well as a jump in the electric material properties. The formulation is based on a finite element method enriched with special shape functions, capable of accurate capturing discontinuities both in the fluid pressure and the gradient of the electric potential. Phase interface is, thus, represented as a zero-thickness boundary. The proposed methodology allows modeling the electric force as an interfacial one, strictly abiding with the physics. The approach is tested using the droplet deformation benchmarks. Moreover, application of the method to study a three-dimensional (3D) case, not characterized by symmetry of revolution, is shown. The proposed methodology defines a basis for an enriched finite element method for a wide range of EHD problems.

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Section: Deformation Of a Droplet Subjected To An Electric Fieldmentioning

confidence: 99%

An enriched finite element/level-set model for two-phase electrohydrodynamic simulations

et al. 2023

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“…Many challenging fluid and solid mechanics related problems have been successfully handled with the SPH methods, which for instance include free surface flows, [18][19][20] nano- 21 and bio-heat transfer, 22 multi-phase flow, 23 electrohydrodynamics (EHD), [24][25][26] among others. However, to the best of our knowledge, an attempt for simulating active nematics with the SPH method has not been realized to date.…”

Section: Introductionmentioning

confidence: 99%

Development of smoothed particle hydrodynamics method for modeling active nematics

Saghatchi

Kolukısa

Yıldız

2022

Numerical Meth Engineering

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This article proposes a novel graphics processing unit‐based active nematic flow solver based on the smoothed particle hydrodynamics (SPH) method. Nematohydrodynamics equations are discretized using the SPH algorithm. Flow behavior, nematic ordering, topological defects, and vorticity correlation are calculated and discussed in detail. The spectrum of the kinetic energy with respect to the wavenumber is calculated at high particle resolution, and its slope at the different length scales is discussed. To exploit the SPH capabilities, pathlines of nematic particles are evaluated during the simulation. Finally, the mixing behavior of the active nematics is calculated as well and described qualitatively. The effects of two important parameters, namely, activity and elastic constant are investigated. It is shown that the activity intensifies the chaotic mixing nature of the active nematics, while the elastic constant behaves oppositely.

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“…One of the most promising meshless methods is the smoothed particle hydrodynamics method (SPH) (Kulasegaram et al , 2004; Aly et al , 2022). The SPH demonstrates its capabilities for multiphase flow simulations (Grenier et al , 2009; Aly, 2015; Fonty et al , 2019; Wang et al , 2020; Saghatchi et al , 2020; Rahmat and Yildiz, 2021). The performed simulations are not limited to Newtonian cases but include non-Newtonian ones (Ren et al , 2012; Zainali et al , 2013; Sadeghy and Vahabi, 2016).…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of drop deformation under simple shear flow of Giesekus fluids by SPH

Moinfar

Vahabi²,

Vahabi³

2022

HFF

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Purpose The purpose of this study is to investigate the effects of the shear-thinning viscoelastic behavior of the surrounding matrix on droplet deformation by weakly compressible smoothed particle hydrodynamics (WC-SPH). Also, the effect of the presence of another droplet is examined. Design/methodology/approach A modified consistent weakly compressible SPH method is proposed. After code verification, a complete parameter study is performed for a drop under the simple shear flow of a Giesekus liquid. The investigated parameters are 0.048≤Ca ≤ 14.4, 0.1≤c ≤ 10, 0.04≤De ≤ 10, 0≤α ≤ 1 and 0.12≤Re ≤ 12. Findings It is demonstrated that the rheological behavior of the surrounding fluid could dramatically affect the droplet deformation. It is shown that the droplet deformation is increased by increasing Re and Ca. In contrast, the droplet deformation is decreased by increasing a, De and polymer content. Also, it is indicated the presence of another droplet could drastically affect the flow field, and the primary stress difference (N1) is resonated between two droplets. Originality/value The main originality of this paper is to introduce a new consistent WC-SPH algorithm. The proposed method is very versatile for tackling the shear-thinning viscoelastic multiphase problems. Furthermore, a complete parameter study is performed for a drop under the simple shear flow of Giesekus liquid. Another novelty of the current paper is studying the effect of the presence of a second droplet. To the best of the authors’ knowledge, this is performed for the first time.

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Electrohydrodynamics of a droplet in a highly confined domain: A numerical study

Cited by 20 publications

References 53 publications

An enriched finite element/level-set model for two-phase electrohydrodynamic simulations

An enriched finite element/level-set model for two-phase electrohydrodynamic simulations

Development of smoothed particle hydrodynamics method for modeling active nematics

Numerical simulation of drop deformation under simple shear flow of Giesekus fluids by SPH

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