Further considerations of two-dimensional condensation drop profiles and departure sizes

Merte, Herman; Son, Seyul

doi:10.1007/bf01377573

Cited by 9 publications

(8 citation statements)

References 1 publication

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“…Energy minimization techniques have been widely used to model droplet shape on an incline [10,[20][21][22][23][24].…”

Section: Nomenclaturementioning

confidence: 99%

“…Twodimensional droplets were initially modeled using energy-based methods by Frenkel [10] and later by Merte and co-workers [20,21]. Frenkel provided upper bounds on the critical inclination for droplet sliding, whereas Merte and co-workers obtained 2D droplet shapes and receding contact angles with the advancing angle and critical droplet size provided as inputs.…”

Section: Nomenclaturementioning

confidence: 99%

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Forces Acting on Sessile Droplet on Inclined Surfaces

Annapragada

Murthy

Garimella

2009

Volume 1: Heat Transfer in Energy Systems; Thermophysical Properties; Heat Transfer Equipment; Heat Transfer in Electronic Equi

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Although many analytical, experimental and numerical studies have focused on droplet motion, the mechanics of the droplet while still in its static state, and just before motion starts, are not well understood. A study of static droplets would shed light on the threshold voltage (or critical inclination) for initiating electrically (or gravitationally) induced droplet motion. Before the droplet starts to move, the droplet shape changes such that the forces acting at the triple contact line balance the actuation forces. These contact line forces are governed by the contact angles along the contact line. The contact angle varies from an advancing angle at the leading edge to a receding angle at the trailing edge of the droplet. The present study seeks to understand and predict these forces at the triple contact line. The droplet shape, as well as the advancing and receding contact angles, is experimentally measured as a function of droplet size under the action of a gravitational force at different inclination angles. The advancing and receding contact angles are correlated with static contact angle and Bond number. A Volume of Fluid - Continuous Surface Force model with varying contact angles along the triple contact line is developed to predict the same. The model is first verified against a two-dimensional analytical solution. It is then used to simulate the shape of a sessile droplet on an incline at various angles of inclination and to determine the critical angle of inclination as a function of droplet size. Good agreement is found between experimental measurements and predictions. The contact line profile and contact area are also predicted. The contact area predictions based on a spherical-cap assumption are also compared against the numerical predictions.

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“…Energy minimization techniques have been widely used to model droplet shape on an incline [10,[20][21][22][23][24].…”

Section: Nomenclaturementioning

confidence: 99%

Section: Nomenclaturementioning

confidence: 99%

Forces Acting on Sessile Droplet on Inclined Surfaces

Annapragada

Murthy

Garimella

2009

Volume 1: Heat Transfer in Energy Systems; Thermophysical Properties; Heat Transfer Equipment; Heat Transfer in Electronic Equi

View full text Add to dashboard Cite

show abstract

“…Moreover, for noncircular contours, the base length at the symmetry plane is not equal to the diameter of the drop. Merte and Son [6] extended the work to include advancing angles of up to 180 • .…”

Section: Introductionmentioning

confidence: 99%

Liquid drops on vertical and inclined surfaces

ElSherbini

Jacobi

2004

Journal of Colloid and Interface Science

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“…Energy-minimization techniques have been widely used to model the static droplet shape on an incline [12,[21][22][23][24][25]. Two-dimensional droplets were initially modeled using energy-based methods by Frenkel [12] and later by Merte and co-workers [21,22].…”

mentioning

confidence: 99%

“…Two-dimensional droplets were initially modeled using energy-based methods by Frenkel [12] and later by Merte and co-workers [21,22]. Frenkel provided upper bounds on the critical inclination for droplet sliding, whereas Merte and co-workers obtained 2D droplet shapes and receding contact angles with the advancing angle and critical droplet size provided as inputs.…”

mentioning

confidence: 99%

Droplet retention on an incline

Annapragada¹,

Murthy

Garimella

2012

International Journal of Heat and Mass Transfer

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The present study seeks to understand and predict droplet retention on smooth hydrophobic surfaces. The droplet shape and the advancing and receding contact angles are experimentally measured as a function of droplet size under the action of a gravitational force at different inclination angles. The advancing and receding contact angles are correlated with static contact angle and Bond number. A Volume of Fluid -Continuous Surface Force model with varying contact angles along the triple contact line is developed to predict droplet shape. The model is first verified against a twodimensional analytical solution. It is then used to simulate the shape of a sessile droplet on an incline at various angles of inclination and to determine the critical angle of inclination as a function of droplet size. Good agreement is found between experimental measurements and predictions. The contact line profile and contact area are also predicted. The contact area predictions based on a spherical-cap assumption are compared to the numerical predictions and are found to underpredict the droplet contact area.

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Further considerations of two-dimensional condensation drop profiles and departure sizes

Cited by 9 publications

References 1 publication

Forces Acting on Sessile Droplet on Inclined Surfaces

Forces Acting on Sessile Droplet on Inclined Surfaces

Liquid drops on vertical and inclined surfaces

Droplet retention on an incline

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