Effect of Marangoni Flows on the Shape of Thin Sessile Droplets Evaporating into Air

Tsoumpas, Yannis; Dehaeck, Sam; Rednikov, Alexei; Colinet, Pierre

doi:10.1021/acs.langmuir.5b02673

Cited by 69 publications

(69 citation statements)

References 33 publications

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“…The integrals in (95) are computed in Matlab with the same methods used in the evaluation of (32). We plot the composite evaporation rate (95) as a function of r for Pe k = 10 1 , 10 2 , 10 3 , 10 4 in Fig.…”

Section: Validation Of Asymptotic Resultsmentioning

confidence: 99%

“…The resulting finite linear algebraic system is then solved using Matlab's backslash command (since the system is symmetric positive definite, this uses Cholesky factorization). Once the coefficients a n (Pe k ) have been determined numerically, the evaporation rate E(r ) is approximated by (32) with the sum truncated at n = M * (Pe k ). The integral in (32) is evaluated numerically using the integral command in Matlab.…”

Section: Computing the Evaporation Ratementioning

confidence: 99%

“…To determine the evaporation rate at the contact line E(1 − ), we set x = cos(δ X ) and r = cos(δ) in (32) to obtain E(cos(δ)) = ∞ n=0 (2n + 1)a n (Pe k )I n (δ), I n (δ) = δ (111)…”

Section: Appendix 2: Evaporation Rate At the Contact Linementioning

confidence: 99%

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Kinetic effects regularize the mass-flux singularity at the contact line of a thin evaporating drop

et al. 2017

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We consider the transport of vapour caused by the evaporation of a thin, axisymmetric, partially wetting drop into an inert gas. We take kinetic effects into account through a linear constitutive law that states that the mass flux through the drop surface is proportional to the difference between the vapour concentration in equilibrium and that at the interface. Provided that the vapour concentration is finite, our model leads to a finite mass flux in contrast to the contact-line singularity in the mass flux that is observed in more standard models that neglect kinetic effects. We perform a local analysis near the contact line to investigate the way in which kinetic effects regularize the mass-flux singularity at the contact line. An explicit expression is derived for the mass flux through the free surface of the drop. A matched-asymptotic analysis is used to further investigate the regularization of the mass-flux singularity in the physically relevant regime in which the kinetic timescale is much smaller than the diffusive one. We find that the effect of kinetics is limited to an inner region near the contact line, in which kinetic effects enter at leading order and regularize the mass-flux singularity. The inner problem is solved explicitly using the Wiener-Hopf method and a uniformly valid composite expansion is derived for the mass flux in this asymptotic limit.

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Section: Validation Of Asymptotic Resultsmentioning

confidence: 99%

Section: Computing the Evaporation Ratementioning

confidence: 99%

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Kinetic effects regularize the mass-flux singularity at the contact line of a thin evaporating drop

et al. 2017

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“…Effect of gravity on evaporation has to be considered in space applications. In recent paper [5] it is shown that Marangoni effect (flow driven by surface tension gradient) modifies the drop interface shape and impacts on evaporation. Deep understanding of evaporation requires knowledge what is happening inside droplet.…”

Section: Introductionmentioning

confidence: 99%

The effect of temperature and gas Reynolds number on evaporation of a sessile liquid drop in mini-channel

2016

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Abstract. Experimental setup has been designed and manufactured to study the evaporation processes of liquid drop under blowing gas in mini-channel. The height of channel can be varied from 3 to 20 mm. Substrates are removable and its surface temperature is kept to constant value. The shadow method is main measurement technique. Series of experiments with 100 μl water drop on polished stainless still substrate are carried out in channel with 9 mm height. Dependences of evaporating rate for different range of temperatures and gas Reynolds numbers are obtained.

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“…2) by approximately one order of magnitude. Yet, it appears that the overall trends are well captured by this rather simple model ignoring viscous friction on the pillars and tortuosity of the porous structure (in addition with non-isotropy, pinning, convective effects in the gas affecting the evaporation rate [29], cooling and Marangoni effects [30] . .…”

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confidence: 97%

Evaporation dynamics of completely wetting drops on geometrically textured surfaces

Mekhitarian¹,

Sobac²,

Dehaeck³

et al. 2017

EPL

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-This study deals with the evaporation dynamics of completely wetting and highly volatile drops deposited on geometrically textured but chemically homogeneous surfaces. The texturation consists in a cylindrical pillars array with a square pitch. The triple line dynamics and the drop shape are characterized by an interferometric method. A parametric study is realized by varying the radius and the height of the pillars (at fixed interpillar distance), allowing to distinguish three types of dynamics: i) an evaporation-dominated regime with a receding triple line; ii) a spreading-dominated regime with an initially advancing triple line; iii) a cross-over region with strong pinning effects. The overall picture is in qualitative agreement with a mathematical model showing that the selected regime mostly depends on the value of a dimensionless parameter comparing the time scales for evaporation and spreading into the substrate texture. Introduction. -Wetting and evaporation of liquid drops on solid surfaces are of prime importance for a wide range of applications, from biomedicine and operation of DNA chips to painting and design of self-cleaning and antifouling surfaces. On the other hand, the recent development of small-scale fabrication techniques enables producing surfaces with well-defined chemical and/or geometrical textures, in the micron-range or even at the nanoscale. This offers a large range of new research possibilities, aiming in particular to improve the fundamental knowledge of wetting and evaporation/condensation of liquids on textured surfaces. In turn, a very promising outcome of such improved basic understanding could be the targeted manufacturing of novel hierarchical structures with potential applications in photovoltaics, substrates for engineered cell growth or other smart materials [1].In this work, we focus on surfaces geometrically textured by an array of cylindrical pillars with controlled dimensions (typically tens of microns). Previous studies have shown how such large-scale "roughness" influences the wetting of a drop deposited on the surface [2-4] by enhancing its wettability or non-wettability (i.e., by affecting its apparent contact angle and wetting surface). These works in particular highlighted that, in partial wetting situations, a part of the liquid can invade the surface

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Effect of Marangoni Flows on the Shape of Thin Sessile Droplets Evaporating into Air

Cited by 69 publications

References 33 publications

Kinetic effects regularize the mass-flux singularity at the contact line of a thin evaporating drop

Kinetic effects regularize the mass-flux singularity at the contact line of a thin evaporating drop

The effect of temperature and gas Reynolds number on evaporation of a sessile liquid drop in mini-channel

Evaporation dynamics of completely wetting drops on geometrically textured surfaces

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