Profile and departure size of condensation drops on vertical surfaces

Merte, Herman; Yamalı, Cemil

doi:10.1007/bf02570527

Cited by 22 publications

(20 citation statements)

References 17 publications

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“…In the prior work [1] it was demonstrated that in satisfying the transversality condition associated with the variable lower end point, Young's equation was automatically satisfied by the solution provided that the surface energies contained therein are taken to be for the advancing condition. The transversality condition can no longer be applied at the advancing end of the drop since the first derivative off2(x) at this location is not continuous.…”

Section: K1(0)r Q D~mentioning

confidence: 97%

“…This is an extension of the work presented in [1], in Which the general profile of a two-dimensional drop on a vertical surface was computed, with the departure profile and size being obtained as a special limit. The two-dimensional profiles were taken to be approximations to the mid-plane profiles of drops, and good comparisons between computed departure sizes and measurements made at earth and high gravity fields simulated by centrifugal acceleration.…”

Section: Introductionmentioning

confidence: 99%

“…The two-dimensional profiles were taken to be approximations to the mid-plane profiles of drops, and good comparisons between computed departure sizes and measurements made at earth and high gravity fields simulated by centrifugal acceleration. The equilibrium profile, including the receding contact angle, is determined as a function of drop size and For purposes of clarity and convenience, the pattern of development paralleling that of [1] will be followed here, modified as necessary to incorporate the extension to larger advancing contact angles. Using the coordinate system for the two-dimensional cylindrical drop shown in Fig The total energy of the drop is due to: (a) the work of adhesion between the liquid drop and surrounding vapor, given by:…”

Section: Introductionmentioning

confidence: 99%

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

Merte

Son

1987

Wärme- und Stoffübertragung

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Abstract. The problem of the equilibrium shape and departure C size of two-dimensional dropwise condensation drops on a verti-E cal surface, presented in an earlier work, is extended to include F advancing contact angles to 180 ~ The equation of the surface of f the drop is obtained by minimizing (for a given volume) the total g energy of the drop, consisting of surface and gravitational energy, K using the techniques of variational calculus. The solution is L tractable once the advancing contact angle is known, and is taken P, Q as an approximation to the axial meridian profile of a three-U dimensional drop. The receding contact angle is obtained as part V of the solution,x, y The drop size is specified by imposing its vertical length in t/, fl contact with the wall. A maximum value of this length exists 2 which provides a real solution, and this is taken as the departure 0 size of the drop. It is shown that the general departure shape for 0, Y an advancing contact angle of 180 ~ includes the cases for all a advancing contact angles. 0Weitere [Jberlegungen zur zweidimensionalen Kondeusation, Subscripts

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Section: K1(0)r Q D~mentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Merte

Son

1987

Wärme- und Stoffübertragung

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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.…”

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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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Stable Dropwise Condensation for Enhancing Heat Transfer via the Initiated Chemical Vapor Deposition (iCVD) of Grafted Polymer Films

et al. 2013

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Ultra-thin copolymer films are deposited by initiated chemical deposition (iCVD) to investigate their performance under the condensation of water vapor. By forming a grafted interface between the coating and the substrate, the films exhibit stable dropwise condensation even when subjected to 100 °C steam. The applicability of the iCVD to complex substrate geometries is demonstrated on a copper condenser coil.

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Profile and departure size of condensation drops on vertical surfaces

Cited by 22 publications

References 17 publications

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

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

Droplet retention on an incline

Stable Dropwise Condensation for Enhancing Heat Transfer via the Initiated Chemical Vapor Deposition (iCVD) of Grafted Polymer Films

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