A comprehensive analysis of the evaporation of a liquid spherical drop

Sobac, Benjamin; Talbot, Pauline; Haut, Benoı̂t; Rednikov, Alexei; Colinet, Pierre

doi:10.1016/j.jcis.2014.09.036

Cited by 52 publications

(50 citation statements)

References 16 publications

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“…These issues can be often disturbing and rather stringent, especially considering the very small quantities of volatile liquids used in micro‐ and nanoengineering . The evaporation flux can be experimentally tuned by temperature gradients and ambient humidity, as exploited for example in elastocapillary coalescence (described below) and capillary particle deposition (see Section ). The incidence of evaporation is significantly reduced by using liquids of low vapor pressure.…”

Section: Structural Manipulation and Deployment: The Fluid Joint As Amentioning

confidence: 99%

The Fluid Joint: The Soft Spot of Micro‐ and Nanosystems

Mastrangeli

2015

Advanced Materials

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Fluid bridges are ubiquitous soft structures of finite size that conform to and link the surfaces of neighboring objects. Fluid joints, the specific type of fluid bridge with at least one extremity constrained laterally, display even more pronounced reactivity and self-restoration, which make them remarkably suited for assembly, actuation, and manipulation purposes. Their peculiar surface and bulk properties place fluid joints at the rich intersection of diverse scientific interests, and foster their widespread use throughout micro- and nanotechnology. A critical survey of the mechanics and of the manifold applications of fluid bridges and joints in micro- and nanosystems is presented here, along with current challenges and multidisciplinary perspectives.

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Section: Structural Manipulation and Deployment: The Fluid Joint As Amentioning

confidence: 99%

The Fluid Joint: The Soft Spot of Micro‐ and Nanosystems

Mastrangeli

2015

Advanced Materials

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“…As for the vapour properties, a simplified treatment similar to Sobac et al (2014) will be used, evaluating physical properties locally at the mean temperature of the vapour film, (T sΣ (r) + T sat )/2. Thus, the effect of a temperature variation at the top of the substrate due to the cooling enters here not only through a position-dependent superheat T(r), but also through the vapour properties which vary along r. The vapour properties themselves are calculated as in Sobac et al (2015b). For instance, at a temperature of 200…”

Section: Formulation Of the Theoretical Modelmentioning

confidence: 99%

“…These are actually always present in our experiments and likely to give rise to higher evaporation rates, and hence to stronger substrate cooling, as a larger area of the plate is affected by the evaporating drop. Besides, evaporation rate determination based only on the vapour film (ignoring the contribution of the upper part of the drop), even if it indeed remains the principal contribution, is nonetheless known to systematically underestimate the global evaporation rates (Biance et al 2003;Sobac et al 2015b;Maquet et al 2016).…”

Section: Experimental Observations and Numerical Validationmentioning

confidence: 99%

Leidenfrost drops cooling surfaces: theory and interferometric measurement

et al. 2017

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When a liquid drop is placed on a highly superheated surface, it can be levitated by its own vapour. This remarkable phenomenon is referred to as the Leidenfrost effect. The thermally insulating vapour film results in a severe reduction of the heat transfer rate compared to experiments at lower surface temperatures, where the drop is in direct contact with the solid surface. A commonly made assumption is that this solid surface is isothermal, which is at least questionable for materials of low thermal conductivity, resulting in an overestimation of the surface temperature and heat transfer for such systems. Here we aim to obtain more quantitative insight into how surface cooling affects the Leidenfrost effect. We develop a technique based on Mach-Zehnder interferometry to investigate the surface cooling of a quartz plate by a Leidenfrost drop. The three-dimensional plate temperature field is reconstructed from interferometric data by an Abel inversion method using a basis function expansion of the underlying temperature field. By this method we are able to quantitatively measure the local cooling inside the plate, which can be as strong as 80 K. We develop a numerical model which shows good agreement with experiments and enables extending the analysis beyond the experimental parameter space. Based on the numerical and experimental results we quantify the effect of surface cooling on the Leidenfrost phenomenon. By focusing on the role of the solid surface we provide new insights into the Leidenfrost effect and demonstrate how to adjust current models to account for non-isothermal solids and use previously obtained isothermal scaling laws for the neck thickness and evaporation rate.

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“…Yet the reference state can still be transient with respect to a possible evolution of the temperature and concentration fields from their initial values, although stationary profiles thereof are eventually attained. Furthermore, in the droplet case, it is only at this transient stage that an essential Marangoni instability can in fact be expected, when there exists a non-trivial temperature profile inside the droplet [18], which becomes merely constant when attaining stationarity [22]. The same actually goes for the layer with an insulated bottom, which is a close counterpart of the droplet in this regard.…”

Section: Introductionmentioning

confidence: 99%

Importance of wave-number dependence of Biot numbers in one-sided models of evaporative Marangoni instability: Horizontal layer and spherical droplet

et al. 2015

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A one-sided model of the thermal Marangoni instability owing to evaporation into inert gas is developed. Two configurations are studied in parallel: a horizontal liquid layer and a spherical droplet. With the dynamic gas properties being admittedly negligible, one-sided approaches typically hinge upon quantifying heat/mass transfer through the gas phase by means of transfer coefficients (like in the Newton's cooling law), which in dimensionless terms eventually corresponds to the Biot number. Quite a typical arrangement encountered in the literature is a constant Biot number, the same for perturbations of different wavelengths and maybe even the same as for the reference state. In the present work, we underscore the relevance of accounting for its wavenumber dependence, which is especially the case in the evaporative context with relatively large values of the resulting effective Biot number. We illustrate the effect in the framework of the Marangoni instability thresholds. As a concrete example, we consider HFE-7100 (a standard refrigerant) for the liquid and air for the inert gas. * H.Machrafi@ulg.ac.be 2

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A comprehensive analysis of the evaporation of a liquid spherical drop

Cited by 52 publications

References 16 publications

The Fluid Joint: The Soft Spot of Micro‐ and Nanosystems

The Fluid Joint: The Soft Spot of Micro‐ and Nanosystems

Leidenfrost drops cooling surfaces: theory and interferometric measurement

Importance of wave-number dependence of Biot numbers in one-sided models of evaporative Marangoni instability: Horizontal layer and spherical droplet

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