Revisiting D2-law for the evaporation of dilute droplets

In a wide range of applications, the estimate of droplet evaporation time is based on the classical D2-law, which, assuming a fast mixing and fixed environmental properties, states that the droplet surface decreases linearly with time at a determined rate. However, in many cases the predicted evapor...

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Bibliographic Details
Published in:Physics of fluids (1994) 2021-05, Vol.33 (5)
Main Authors: Dalla Barba, F., Wang, J., Picano, F.
Format: Article
Language:English
Subjects:
Asymptotic properties
Dilution
Direct numerical simulation
Droplets
Evaporation rate
Fluid dynamics
Mathematical models
Physics
Turbulent jets
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Summary:In a wide range of applications, the estimate of droplet evaporation time is based on the classical D2-law, which, assuming a fast mixing and fixed environmental properties, states that the droplet surface decreases linearly with time at a determined rate. However, in many cases the predicted evaporation rate is overestimated. In this Letter, we propose a revision of the D2-law capable of accurately determining droplet evaporation rate in dilute conditions by a proper estimate of the asymptotic droplet properties. Besides a discussion of the main assumptions, we tested the proposed model against data from direct numerical simulations finding an excellent agreement for predicted droplet evaporation time in dilute turbulent jet-sprays.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0051078