Marangoni convection instability in an evaporating droplet deposited on volatile liquid layer

Wang, Tian-Shi; Shi, Wan-Yuan

doi:10.1016/j.ijheatmasstransfer.2021.121055

Cited by 7 publications

(6 citation statements)

References 40 publications

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“…The excess temperature distribution inside the lens is also uneven, and the lowest temperature appears on the symmetry axis of the lens surface. This is similar to the infrared image obtained by Wang and Shi, 28 which recorded the surface temperature distribution of methanol lens evaporation on the liquid substrate surface. The reason for the calculation results shown in Figure 4 is that the heat conduction distance between the lens–liquid interface and the lens–air interface decreases monotonously in the radial direction.…”

Section: Resultssupporting

confidence: 87%

“…A recent experimental study showed that the temperature distribution on the lens surface is not uniform. 28 This is similar to the sessile droplet evaporation on the surface of solid substrates. Our previous research also showed that the change in calculated lens radius under the constant temperature assumption was smaller than the experimental data, and the deviation increases as the liquid substrate temperature rises (as shown by the dotted line in Figures 2 and 3 ).…”

Section: Resultsmentioning

confidence: 75%

“…A recent experimental study showed that the temperature distribution on the lens surface is not uniform . This is similar to the sessile droplet evaporation on the surface of solid substrates.…”

Section: Resultsmentioning

confidence: 92%

“…Sun and Yang 27 investigated the evaporation process of toluene and hexane lenses on a deionized water surface. Wang and Shi 28 used an infrared camera to study the Marangoni convection pattern of methanol lens evaporation on the immiscible liquid surface. They found that the temperature distribution on the methanol lens surface was also uneven, and the lowest temperature was near the symmetry axis of the lens for most of the lens life.…”

Section: Introductionmentioning

confidence: 99%

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Lens Evaporation on Immiscible Liquid Surface with an Interfacial Cooling Effect

Jiang

Zhang

et al. 2022

ACS Omega

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A theoretical heat and mass transfer model of volatile liquid lens evaporation on the surface of an immiscible liquid substrate is established in toroidal coordinates. According to the coupled boundary conditions of heat and mass transfer at the lens surface as well as the interfacial cooling effect, the analytical solutions of the temperature field inside the lens and the vapor concentration field around the lens are derived for the first time. Compared with the isothermal model, the change of contact radius calculated by the present model agrees well with the experimental data, especially when the liquid substrate reaches a relatively high temperature. It also reveals that the temperature distribution inside the lens is not uniform, which is similar to the sessile droplet evaporation on a solid substrate surface. In addition, the excess temperature, heat flux, and evaporation flux of the lens–air interface increase monotonically from the lens center to the contact line. Finally, the influences of density ratio and evaporative cooling number E 0 on lens mass evaporation rate are analyzed, which shows that the lens mass evaporation rate decreases with increasing density ratio and evaporative cooling number.

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Section: Resultssupporting

confidence: 87%

Section: Resultsmentioning

confidence: 75%

Section: Resultsmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

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Lens Evaporation on Immiscible Liquid Surface with an Interfacial Cooling Effect

Jiang

Zhang

et al. 2022

ACS Omega

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“…The influence of solvents often could not be ignored, because it not only affected the jettability, but also played a key role in the morphology of printed patterns. During the large-area printing process, the evaporation of solvents would cause various unbalanced flows inside the liquid film, , driving the redistribution of solutes, which eventually led to the irregularity of the film morphology, and even cracking. , In general, the main flow fields inside the liquid include: the capillary flow driven by the variation of the curvature in the gas–liquid two-phase interface, , the Marangoni flow generated by the surface tension gradient and thermal convection flows due to the uneven evaporation at the gas–liquid interface. Especially for volatile solvents, the temperature gradient changes would intensify and the internal convection could show irregular Bénard–Marangoni (BM) convection. , Under the combined influence of the above flow fields, it was difficult to become “flat” for low-temperature conductive ink .…”

Section: Introductionmentioning

confidence: 99%

Morphological Regulation of Printed Low-Temperature Conductive Ink

Liu

Guo²,

et al. 2022

Langmuir

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The unbalanced evaporation of solvents in lowtemperature sintered inks for printed electronics leads to a series of problems in the actual printing process, including printed pattern distortion, surface cracking, and the coffee ring effect, which has become a serious obstacle to this technique. Here, we present a comprehensive investigation of the influence of the solvent composition, environmental, and sintering conditions on the complicated pattern formation process of reactive silver inks. The results first showed that only inks with a certain wettability of solvents could form well-defined patterns. Then, the solvent composition and ambient humidity can be adjusted to balance the nonequilibrium evaporative flow within the liquid and thus to obtain a flat liquid film. Combined with the rapid UV sintering process, the particle size, porosity, and roughness could be controlled to produce dense and homogeneous silver films. Finally, we successfully printed silver electrodes with a smooth and dense surface (R qs ∼ 21 nm in 0.8 × 0.8 mm 2 area and less than 1% porosity) under an optimized relative humidity (RH) of 50−60% at room temperature with the solvent composition of IPA (isopropanol)/2,3-BD (2,3-butanediol) = 8:2. In addition, we also demonstrated high-performance Pr−IZO (praseodymium-doped indium−zinc oxide) thin film transistors (TFTs) with a mobility (μ sat ) of 2.14 cm 2 /V/s and I on /I off ratio of over 10 7 using source−drain electrodes printed under optimized conditions.

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Theoretical and Numerical Studies of Liquid Lens Evaporation with Coupled Fields

Shen

Wang

et al. 2022

Ind. Eng. Chem. Res.

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The evaporation of the liquid lens on an immiscible liquid is widely adopted in many industrial and scientific applications, so it is crucial to predict the evaporation rate and lifetime of the liquid lens. During the evaporation, the internal thermocapillary flow, external natural convection, and interfacial evaporative cooling are coupled together and affect the evaporation characteristics greatly. In this paper, the slow and fast evaporation with coupled fields are studied by theoretical analysis and numerical simulation, respectively. It is found that the evaporative cooling can always inhibit the liquid lens evaporation, while the thermocapillary flow and natural convection can enhance the liquid lens evaporation. The total evaporation rate is determined by the competence between the interfacial evaporative flux and upper surface of the liquid lens. With the increasing liquid lens volume, the total evaporation rate will generally increase for fast evaporation, while for slow evaporation that only considers the evaporative cooling effect, the total evaporation rate may decrease at a low tangential angle ratio. The evaporation of the liquid lens follows the constant contact angle mode, the transient variation of volume satisfies the "2/3 law", independent of evaporative cooling, thermocapillary flow, and natural convection, and it is analogous to the sessile droplet evaporation in constant contact angle mode. These findings can provide guidance for the wide application of liquid lens evaporation.

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Marangoni convection instability in an evaporating droplet deposited on volatile liquid layer

Cited by 7 publications

References 40 publications

Lens Evaporation on Immiscible Liquid Surface with an Interfacial Cooling Effect

Lens Evaporation on Immiscible Liquid Surface with an Interfacial Cooling Effect

Morphological Regulation of Printed Low-Temperature Conductive Ink

Theoretical and Numerical Studies of Liquid Lens Evaporation with Coupled Fields

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