Computational modeling of impinging viscoelastic droplets

Venkatesan, Jagannath; Ganesan, Sashikumaar

doi:10.1016/j.jnnfm.2018.11.001

Cited by 14 publications

(11 citation statements)

References 75 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where f Γ S and β Γ s are the dissipative force and the slip coefficient applied at the solid-liquid interface, respectively, and v is the slip velocity of the fluid on the solid-liquid interface. A variety of models have been proposed in the literature for the slip coefficient, β Γ s , at the solid-liquid interface such as, Navier-slip condition (β s ) [14][15][16]44 , prescribed slip profile condition 15 , and a constant slip coefficient that depends on the grid size 22 . The Navier-slip model is considered in this work, as it accounts for the shear rates and viscous dissipation along the solid-liquid interface during droplets deformation [14][15][16]21 .…”

Section: A Governing Equationsmentioning

confidence: 99%

“…A variety of models have been proposed in the literature for the slip coefficient, β Γ s , at the solid-liquid interface such as, Navier-slip condition (β s ) [14][15][16]44 , prescribed slip profile condition 15 , and a constant slip coefficient that depends on the grid size 22 . The Navier-slip model is considered in this work, as it accounts for the shear rates and viscous dissipation along the solid-liquid interface during droplets deformation [14][15][16]21 . At the contact line, an effective slip boundary condition is applied corresponding to the total dissipative force, including the contribution of i) the capillary effect (ζ ), ii) normal stress coefficient (β n ), and iii) Navier-slip coefficient (β s ), and is proportional to the velocity of the contact line [14][15][16]22 :…”

Section: A Governing Equationsmentioning

confidence: 99%

“…In these applications, characterized by dominant capillary forces, the liquid phase is found in contact with solid substrates that can be hydrophobic, hydrophilic, or chemically heterogeneous 11 . Droplet dynamics models typically encounter several challenges when studying these phenomena: a) tracking of the free liquid surface [12][13][14] , b) identifying the interaction forces between liquids and substrates [15][16][17][18] , and hence tracking the transition between inertial and viscoelastic regimes 19,20 , and c) obtaining mesh-dependent solutions [21][22][23][24] .…”

Section: Introductionmentioning

confidence: 99%

“…Thus, more sophisticated models are needed for analyzing droplet dynamics (droplet deformation, pinning, and spreading) in the case of hydrophobic and chemically heterogeneous substrates. For such cases, the contact line singularity can be relieved by introducing i) a slip zone at the contact line, that accounts for the normal and tangential stresses, and the capillary effect due to the contact line motion, and ii) a slip zone away from the contact line, that accounts for shear and viscous stresses acting inside the solidliquid interfacial region 14,15,22,30 .…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A particle finite element-based model for droplet spreading analysis

et al. 2020

View full text Add to dashboard Cite

A particle finite element method (PFEM) based model is proposed to analyze droplet dynamics problems, particularly droplet spreading on solid substrates (wetting). The model uses an updated Lagrangian framework to formulate the governing equations of the liquid. Curvature of the liquid surface is tracked accurately using a deforming boundary mesh. In order to predict the spreading rate of the droplet on the solid substrate and track the corresponding contact angle evolution, dissipative forces at the contact line are included in the formulation in addition to the Navier-slip boundary conditions at the solid-liquid interface. The inclusion of these boundary conditions makes it possible to account for the induced Young's stress at the contact line and for the viscous dissipation along the solid-liquid interfacial region. These are found to be essential to obtain a mesh-independent physical solution. The temporal evolution of the contact angle and contact line velocity of the proposed model are compared with spreading droplets and micro sessiledroplet injection experiments, and are shown to be in good agreement.

show abstract

Section: A Governing Equationsmentioning

confidence: 99%

Section: A Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A particle finite element-based model for droplet spreading analysis

et al. 2020

View full text Add to dashboard Cite

show abstract

“…SPH has shown good results for molding flows of Non-Newtonian fluids for both isothermal [26] and non-isothermal [27] conditions. Recently, Venkatesan and Ganesan [28] employed SPH to investigate viscoelasticity on droplet spreading dynamics on hydrophilic surfaces.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Hydrodynamically Dominated Membrane Rupture, Using Smoothed Particle Hydrodynamics–Finite Element Method

Asadi

Taeibi-Rahni

Akbarzadeh

et al. 2019

Fluids

View full text Add to dashboard Cite

The rupturing process of a membrane, located between two fluids at the center of a three-dimensional channel, is numerically investigated. The smoothed particle hydrodynamics (SPH) and the finite element method (FEM) are used, respectively, for modeling the fluid and solid phases. A range of pressure differences and membrane thicknesses are studied and two different rupturing processes are identified. These processes differ in the time scale of the rupture, the location of the rupture initiation, the level of destruction and the driving mechanism.

show abstract

Finite element computations of viscoelastic two‐phase flows using local projection stabilization

Venkatesan

Ganesan

2020

Numerical Methods in Fluids

View full text Add to dashboard Cite

SummaryA three‐field local projection stabilized (LPS) finite element method is developed for computations of a three‐dimensional axisymmetric buoyancy driven liquid drop rising in a liquid column where one of the liquid is viscoelastic. The two‐phase flow is described by the time‐dependent incompressible Navier‐Stokes equations, whereas the viscoelasticity is modeled by the Giesekus constitutive equation in a time‐dependent domain. The arbitrary Lagrangian‐Eulerian (ALE) formulation with finite elements is used to solve the governing equations in the time‐dependent domain. Interface‐resolved moving meshes in ALE allows to incorporate the interfacial tension force and jumps in the material parameters accurately. A one‐level LPS based on an enriched approximation space and a discontinuous projection space is used to stabilize the numerical scheme. A comprehensive numerical investigation is performed for a Newtonian drop rising in a viscoelastic fluid column and a viscoelastic drop rising in a Newtonian fluid column. The influence of the viscosity ratio, Newtonian solvent ratio, Giesekus mobility factor, and the Eötvös number on the drop dynamics are analyzed. The numerical study shows that beyond a critical Capillary number, a Newtonian drop rising in a viscoelastic fluid column experiences an extended trailing edge with a cusp‐like shape and also exhibits a negative wake phenomena. However, a viscoelastic drop rising in a Newtonian fluid column develops an indentation around the rear stagnation point with a dimpled shape.

show abstract

Computational modeling of impinging viscoelastic droplets

Cited by 14 publications

References 75 publications

A particle finite element-based model for droplet spreading analysis

A particle finite element-based model for droplet spreading analysis

Investigation of Hydrodynamically Dominated Membrane Rupture, Using Smoothed Particle Hydrodynamics–Finite Element Method

Finite element computations of viscoelastic two‐phase flows using local projection stabilization

Contact Info

Product

Resources

About