Numerical model for sessile drop evaporation on heated substrate under microgravity

Kumar, Sanjeev; Médale, Marc; Brutin, David

doi:10.1016/j.ijheatmasstransfer.2022.123150

Cited by 6 publications

(4 citation statements)

References 46 publications

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“…We are aware of several evaporation models given in publications 59,60 and approaches to calculating the evaporation rate. 61 All of the models and approaches can be conditionally divided into two groups. In the first, the evaporation rate is calculated from expressions that include from two to four constants.…”

Section: Justification Of the Chosen Mathematical Modelmentioning

confidence: 99%

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Mathematical Modeling of the Evaporation of a Water Drop from a Heated Surface

2023

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This paper presents the results of mathematical modeling of the evaporation of a single water drop from the surface of a copper substrate using a new model, which does not require special experiments to close the system of equations and the corresponding boundary conditions with empirical constants. On the basis of the results of mathematical modeling, it was found that convective currents that occur in a small water drop (≤1 mm in diameter) do not significantly affect the characteristics or conditions of heat and mass transfer processes occurring in a liquid drop heated on a copper substrate. The results of numerical simulation showed that during the initial period of droplet heating, the latter undergoes a rapid transformation of the flow field. Five seconds after the beginning of the thermal action, a quasi-stationary regime of flows in the drop sets in. The model is tested on known experimental data. The theoretical analysis of temperatures at the characteristic points of a water drop and the surface on which the drop is located is carried out in ranges of thermal loads quite typical for practice, conditions for transferring heat and water vapor to the environment. According to the results of mathematical modeling, the possibility of using the developed model in the analysis of the state of cooling of surfaces heated to high temperatures, in cases typically used, is substantiated.

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Section: Justification Of the Chosen Mathematical Modelmentioning

confidence: 99%

“…We are aware of several evaporation models given in publications , and approaches to calculating the evaporation rate . All of the models and approaches can be conditionally divided into two groups.…”

Section: Mathematical Modelmentioning

confidence: 99%

Mathematical Modeling of the Evaporation of a Water Drop from a Heated Surface

2023

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show abstract

“…In a recent study, Semenov et al 19 improved the diffusion limited evaporation model by adding both the Stefan flow and natural convection. Furthermore, Kumar et al 20 utilized the theoretical basis of the diffusion-limited evaporation model and adapted it to the microgravity case. Another evaporation model can be derived by neglecting the gas properties, which is named as the transfer limited one-sided model by Burelbach et al 21 that found good success in the literature.…”

Section: ■ Introductionmentioning

confidence: 99%

“…In a recent study, Semenov et al improved the diffusion limited evaporation model by adding both the Stefan flow and natural convection. Furthermore, Kumar et al utilized the theoretical basis of the diffusion-limited evaporation model and adapted it to the microgravity case. Another evaporation model can be derived by neglecting the gas properties, which is named as the transfer limited one-sided model by Burelbach et al that found good success in the literature. − While the one-sided model was still found suitable for practical applications, the diffusion-limited evaporation model is used more often in recent literature because it can predict the evaporation rate of the droplet in a qualitative simple manner …”

Section: Introductionmentioning

confidence: 99%