Thermal transients during the evaporation of a spherical liquid drop

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

doi:10.1016/j.ijheatmasstransfer.2015.12.075

Cited by 21 publications

(10 citation statements)

References 22 publications

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“…Liquid phase transients can be considered in conjunction with a QS gas phase by retaining the time derivative in equation (2.21) as reported in a few notable works [22,29,37] as well as the present study in §4.a. In this model, the droplet surface temperature begins at an initial value θ~s,i and then converges to the QS value (−1), at which point the droplet temperature remains constant.…”

Section: The Qs Problemmentioning

confidence: 98%

“…These models show that, while the droplet is heating, there is a deviation from the d2-law, but once the wet-bulb temperature is reached, d2-law behaviour emerges. Talbot et al [29] provided dimensionless criteria for determining the significance of the liquid phase transients (droplet heating) corresponding to the response of the droplet surface and bulk internal temperature.…”

Section: Introductionmentioning

confidence: 99%

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Deviations from classical droplet evaporation theory

2021

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In this article, we show that significant deviations from the classical quasi-steady models of droplet evaporation can arise solely due to transient effects in the gas phase. The problem of fully transient evaporation of a single droplet in an infinite atmosphere is solved in a generalized, dimensionless framework with explicitly stated assumptions. The differences between the classical quasi-steady and fully transient models are quantified for a wide range of the 10-dimensional input domain and a robust predictive tool to rapidly quantify this difference is reported. In extreme cases, the classical quasi-steady model can overpredict the droplet lifetime by 80%. This overprediction increases when the energy required to bring the droplet into equilibrium with its environment becomes small compared with the energy required to cool the space around the droplet and therefore establish the quasi-steady temperature field. In the general case, it is shown that two transient regimes emerge when a droplet is suddenly immersed into an atmosphere. Initially, the droplet vaporizes faster than classical models predict since the surrounding gas takes time to cool and to saturate with vapour. Towards the end of its life, the droplet vaporizes slower than expected since the region of cold vapour established in the early stages of evaporation remains and insulates the droplet.

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Section: The Qs Problemmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Deviations from classical droplet evaporation theory

2021

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“…This is due to the small characteristic time of diffusion in the gas phase, when compared to the drop evaporation time. Unless otherwise specified, the assumptions introduced in this paper are discussed in [28,29]. It has been checked that they are verified for the conditions considered in this work (and used in the "results" section).…”

Section: System Description and Assumptionsmentioning

confidence: 98%

Mathematical modeling of the drying of a spherical colloidal drop

Sobac

Larbi

Colinet

et al. 2019

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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In this article, we analyze, through mathematical modeling, the drying of a spherical drop of a colloidal suspension. The originality of our modeling lies in considering the transport phenomena in both the colloidal drop and the surrounding gas, allowing to describe and understand the problem comprehensively. We present a general model taking into account the diffusive and convective transports in the non-isothermal gas phase, and the unsteady diffusion of the particles within the drop. This general model involves a collective diffusion coefficient depending on the particle concentration to take into account the interactions between the particles, considered as hard spheres. This leads us to introduce a new expression of the Péclet number, Pe, comparing a characteristic time of the diffusion of the particles within the drop and a characteristic time of the evaporation of the drop. In particular, Pe appears to be independent of the drop size. The variation of Pe with the parameters of the system is analyzed and its influence on the dynamics of the colloidal particles is discussed. Furthermore, a new equation to evaluate the Darcy's stress arising in the drop during its drying is derived. In particular, it reveals that this mechanical stress continuously increases overtime until it diverges. Two simplified versions of the model are also presented. The comparison of the results obtained from the three versions of the model enables discussing what level of complexity of the modeling should be used for the quantification of several of its properties, depending on the system parameters.

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“…Finally, the temperature returns to the initial level (as does the spectrum). These transient thermal dynamics are related to the intrinsic thermal properties of the liquid (such as the evaporation rate, thermal conductivity, and molar specific heat capacity), so the two sensorgrams show distinctive dynamics of the temperature during evaporation [57][58][59] . Acetone has a larger evaporation rate With a larger volume, the droplet would consume more heat from the surroundings and lead to a larger temperature change (maximum shift).…”

Section: Real-time Monitoring Of the Evaporation Of Dropletsmentioning

confidence: 99%

Optical whispering-gallery mode barcodes for high-precision and wide-range temperature measurements

2021

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Temperature is one of the most fundamental physical properties to characterize various physical, chemical, and biological processes. Even a slight change in temperature could have an impact on the status or dynamics of a system. Thus, there is a great need for high-precision and large-dynamic-range temperature measurements. Conventional temperature sensors encounter difficulties in high-precision thermal sensing on the submicron scale. Recently, optical whispering-gallery mode (WGM) sensors have shown promise for many sensing applications, such as thermal sensing, magnetic detection, and biosensing. However, despite their superior sensitivity, the conventional sensing method for WGM resonators relies on tracking the changes in a single mode, which limits the dynamic range constrained by the laser source that has to be fine-tuned in a timely manner to follow the selected mode during the measurement. Moreover, we cannot derive the actual temperature from the spectrum directly but rather derive a relative temperature change. Here, we demonstrate an optical WGM barcode technique involving simultaneous monitoring of the patterns of multiple modes that can provide a direct temperature readout from the spectrum. The measurement relies on the patterns of multiple modes in the WGM spectrum instead of the changes of a particular mode. It can provide us with more information than the single-mode spectrum, such as the precise measurement of actual temperatures. Leveraging the high sensitivity of WGMs and eliminating the need to monitor particular modes, this work lays the foundation for developing a high-performance temperature sensor with not only superior sensitivity but also a broad dynamic range.

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Thermal transients during the evaporation of a spherical liquid drop

Cited by 21 publications

References 22 publications

Deviations from classical droplet evaporation theory

Deviations from classical droplet evaporation theory

Mathematical modeling of the drying of a spherical colloidal drop

Optical whispering-gallery mode barcodes for high-precision and wide-range temperature measurements

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