The Mechanism of Droplet Levitation in Gas–Droplet Flows Past Bodies

Varaksin, A. Yu.; N, Vasilev; Vavilov, S. N.

doi:10.1134/s1028335821120077

Cited by 3 publications

(1 citation statement)

References 14 publications

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“…For example, in spray cooling, it is important to determine the size of the droplet by the time it reaches the cooled surface (Kim 2007). Similar issues arise in studies of droplet-laden gas flows past solid bodies (Varaksin, Vasil'ev & Vavilov 2021). Another application is the dynamics of respiratory droplets that carry infections such as tuberculosis and COVID-19.…”

Section: Introductionmentioning

confidence: 55%

Heat transfer, vapour diffusion and Stefan flow around levitating droplets near a heated liquid surface

et al. 2023

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We consider a slowly condensing droplet levitating near the surface of an evaporating layer, and develop a mathematical model to describe diffusion, heat transfer and fluid flow in the system. The method of separation of variables in bipolar coordinates is used to obtain the series expansions for temperature, vapour concentration and the Stokes stream function. This framework allows us to determine temperature profiles and condensation rates at the surface of the droplet, and to calculate the upward force that allows the droplet to levitate. Somewhat counter-intuitively, condensation is found to be the strongest near the bottom of the droplet, which faces the hot liquid layer. The experimentally observed deviations from the classical law predicting the square of the radius to grow linearly in time are explained by the model. A spatially non-uniform phase change rate results in a contribution to the force not considered in previous studies, and comparable to droplet weight and the upward force calculated from the Stokes drag law. The levitation conditions are formulated accordingly, resulting in the prediction of levitation height as a function of droplet size without any fitting parameters. A simple criterion is formulated to define the parameter ranges in which levitation is possible. The results are in good agreement with the experimental data except that the model tends to slightly underpredict the levitation height.

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Section: Introductionmentioning

confidence: 55%

Heat transfer, vapour diffusion and Stefan flow around levitating droplets near a heated liquid surface

et al. 2023

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Hydrogasdynamics and Thermal Physics of Two-Phase Flows with Solid Particles, Droplets, and Bubbles

Varaksin

2023

High Temp

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Particle-Laden and Droplet-Laden Two-Phase Flows Past Bodies (a Review)

Varaksin

Ryzhkov

2023

Symmetry

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A review of computational–theoretical and experimental works devoted to the study of the flow of bodies by two-phase (dispersed) flows is carried out. The features of particle motion in the vicinity of bodies of various shapes, as well as the effect of the dispersed phase on resistance and heat transfer, are considered. Some consequences of the interaction of particles and droplets with the surface of streamlined bodies (erosive destruction, gas-dynamic spraying, icing, glowing) are analyzed.

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The Mechanism of Droplet Levitation in Gas–Droplet Flows Past Bodies

Cited by 3 publications

References 14 publications

Heat transfer, vapour diffusion and Stefan flow around levitating droplets near a heated liquid surface

Heat transfer, vapour diffusion and Stefan flow around levitating droplets near a heated liquid surface

Hydrogasdynamics and Thermal Physics of Two-Phase Flows with Solid Particles, Droplets, and Bubbles

Particle-Laden and Droplet-Laden Two-Phase Flows Past Bodies (a Review)

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