Prediction of droplet dynamics on an incline

Annapragada, S. Ravi; Murthy, Jayathi Y.; Garimella, Suresh V.

doi:10.1016/j.ijheatmasstransfer.2011.10.028

Cited by 36 publications

(19 citation statements)

References 33 publications

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“…According to these results, both the superhydrophobic and the hydrophobic surfaces investigated in this study can be modeled with a constant contact angle. However, it is acknowledged that a constant contact angle potentially limits the use of our strategy; therefore, for further application, a dynamic contact angle model [51,52] would likely allow the strategy to be applied to all surface types, although it would require a recalibration of A mush .…”

Section: Discussion Of Results: Limitations and Generalizationsmentioning

confidence: 99%

Simulating the Freezing of Supercooled Water Droplets Impacting a Cooled Substrate

et al. 2015

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To study ice adhesion at the droplet scale, a strategy is presented to simulate the impact and solidification of a supercooled water droplet on a cooled substrate. Upon impact, nucleation is assumed to occur instantaneously, and properties of the droplet are chosen to account for the nucleation process. Simulations are performed in ANSYS Fluent using a coupled volume-of-fluid and level-set method to capture the air-water interface, and an enthalpyporosity method is used to capture the liquid-solid interface. Calibration of a simulation parameter A mush is performed in order to match experimental data for different ideal surface types and surface temperatures. The simulation strategy successfully predicts the overall droplet response for several droplet impact conditions. Nomenclaturewidth on the surface, m d = signed distance to level-set interface f liquid = any physical property of the liquid material f mixture = any physical property of the liquid-solid mixture f solid = any physical property of the solid material k = thermal conductivity, W∕m · K L = specific latent heat of phase change, J∕kg L mixture = specific latent heat of phase change of the ice-water mixture, J∕kĝ n = normal unit vector for level-set interfacê n wall = unit vector normal to wall Oh = Ohnesorge number R = area ratio of droplet on surface Re = Reynolds number r = droplet radius, m r max = maximum droplet radius on surface, m r mixture = droplet radius of ice-water mixture, m St = Stefan number St mixture = Stefan number of the ice-water mixture T freezing = freezing temperature,°C T supercooled = supercooling temperature,°Ct wall = unit vector tangential to wall V 0 = droplet impact velocity, m∕s v = fluid velocity vector, m∕s We = Weber number α = volume fraction α p = volume fraction of primary phase α s = volume fraction of secondary phase β = liquid fraction ΔH = specific latent heat in a computational cell, J∕kg ΔT = degree of supercooling, deg θ = contact angle, deg θ wall = contact angle assigned to wall, deg κ = curvature of level-set interface μ= droplet viscosity, kg∕m · s ρ = density, kg∕m 3 ρ liquid = density of the liquid material, kg∕m 3 ρ p = density of the primary phase, kg∕m 3 ρ s = density of the secondary phase, kg∕m 3 ρ solid = density of the solid material, kg∕m 3 σ = surface tension coefficient, N∕m ϕ = liquid mass fraction φ = level-set function

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Section: Discussion Of Results: Limitations and Generalizationsmentioning

confidence: 99%

Simulating the Freezing of Supercooled Water Droplets Impacting a Cooled Substrate

et al. 2015

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“…The contact angle model of Fluent™ has been validated in recent studies of droplet retention on an incline and droplet dynamics on an incline by Annapragada et al [5,6]. The contact angle model was verified against a 2d analytical solution [5].…”

Section: Contact Angle Modelmentioning

confidence: 94%

“…Good agreement was found between the predictions and measurements. In another study by Annapragada et al [6], droplet dynamics predictions were made using the contact angle model of Fluent™. The terminal velocity predictions from simulations were found to agree well with measurements.…”

Section: Contact Angle Modelmentioning

confidence: 99%

Vapor bubble approaching a superheated wall

Akhtar

Kleis

Hollingsworth

2015

International Journal of Heat and Mass Transfer

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“…Some have assumed a circular shape for the footprint [12,13] and others have used non-circular shapes obtained by minimization of the required hysteresis range [28]. In general, all the functions θ(ϕ), except that in [28] which resembles a step function with a linear transition region, show a smooth variation between θ r and θ l [11].…”

Section: A Contact Angle Distribution Along the Drop Peripherymentioning

confidence: 99%

“…Some of them have been concerned with the relationship between the maximum plane inclination above which the drop slides down, α crit , and the parameters characterizing the initial conditions [1][2][3][4]. Many studies aim to describe the retention forces needed to achieve this critical inclination angle [5][6][7][8][9], while other related works focus on the dynamics of droplets sliding down an incline [10,11].…”

Section: Introductionmentioning

confidence: 99%

Contact-angle-hysteresis effects on a drop sitting on an incline plane

et al. 2019

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We study the contact angle hysteresis and morphology changes of a liquid drop sitting on a solid substrate inclined with respect to the horizontal at an angle α. This one is always smaller than the critical one, αcrit, above which the drop would start to slide down. The hysteresis cycle is performed for positive and negative α's (|α| < αcrit), and a complete study of the changes in contact angles, free surface and footprint shape is carried out. The drop shape is analyzed in terms of a solution of the equilibrium pressure equation within and out of the long-wave model (lubrication approximation). Within this approximation, we obtain a truncated analytical solution that describes the static drop shapes, that is successfully compared with experimental data. This solution is of practical interest since it allows for a complete description of all the drop features, such as its footprint shape or contact angle distribution around the drop periphery, starting from a very small set of relatively easy to measure drop parameters. arXiv:1809.11157v1 [physics.flu-dyn]

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Prediction of droplet dynamics on an incline

Cited by 36 publications

References 33 publications

Simulating the Freezing of Supercooled Water Droplets Impacting a Cooled Substrate

Simulating the Freezing of Supercooled Water Droplets Impacting a Cooled Substrate

Vapor bubble approaching a superheated wall

Contact-angle-hysteresis effects on a drop sitting on an incline plane

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