A theoretical study of the spheroidal droplet evaporation in forced convection

Li, Jie; Zhang, Jian

doi:10.1016/j.physleta.2014.10.020

Cited by 23 publications

(11 citation statements)

References 19 publications

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“…In that paper it was assumed that the temperatures at all points at the surface of a droplet are the same and constant, and the droplet's shape remains spheroidal. A combined problem of spheroidal droplet heating and evaporation, similar to the one studied in [59], was considered in [60]. As in [59], the authors of [60] based their analysis on the solution to the species conservation equation in the gas phase and assumed that the thermal conductivity of droplets is infinitely large.…”

Section: Hydrodynamic Models (Mono-component Droplet Heating and Evapmentioning

confidence: 99%

“…A combined problem of spheroidal droplet heating and evaporation, similar to the one studied in [59], was considered in [60]. As in [59], the authors of [60] based their analysis on the solution to the species conservation equation in the gas phase and assumed that the thermal conductivity of droplets is infinitely large. In contrast to [59], the authors of [60] took into account the relative velocities of droplets, assuming that the dependencies of the Nusselt and Sherwood numbers on the Reynolds and Prandtl numbers are the same as those for the spherical droplets.…”

Section: Hydrodynamic Models (Mono-component Droplet Heating and Evapmentioning

confidence: 99%

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Droplets and Sprays

Basu¹,

Ágarwal²,

Mukhopadhyay³

et al. 2018

Energy, Environment, and Sustainability

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Section: Hydrodynamic Models (Mono-component Droplet Heating and Evapmentioning

confidence: 99%

Section: Hydrodynamic Models (Mono-component Droplet Heating and Evapmentioning

confidence: 99%

Droplets and Sprays

Basu¹,

Ágarwal²,

Mukhopadhyay³

et al. 2018

Energy, Environment, and Sustainability

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“…In that paper it was assumed that the temperatures at all points on the surface of the droplet are identical and constant, and that the droplet's shape remains the same. A combined problem of spheroidal droplet heating and evaporation, similar to the one studied in [4], was considered in [15]. As in [4], the authors of [15] based their analysis on the solution to the species conservation equation in the gas phase and assumed that the thermal conductivity of droplets is infinitely large.…”

Section: Introductionmentioning

confidence: 99%

“…A combined problem of spheroidal droplet heating and evaporation, similar to the one studied in [4], was considered in [15]. As in [4], the authors of [15] based their analysis on the solution to the species conservation equation in the gas phase and assumed that the thermal conductivity of droplets is infinitely large. In contrast to [4], the authors of [15] took into account the relative velocities of droplets, assuming that the dependence of the Nusselt and Sherwood numbers on the Reynolds and Prandtl numbers is the same as for spherical droplets.…”

Section: Introductionmentioning

confidence: 99%

“…As in [4], the authors of [15] based their analysis on the solution to the species conservation equation in the gas phase and assumed that the thermal conductivity of droplets is infinitely large. In contrast to [4], the authors of [15] took into account the relative velocities of droplets, assuming that the dependence of the Nusselt and Sherwood numbers on the Reynolds and Prandtl numbers is the same as for spherical droplets. Also, they took into account the time dependence of droplet temperatures and sizes, although their analysis was focused on oblate droplets only.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical modelling of heating and evaporation of a spheroidal droplet

Zubkov

Cossali

Tonini

et al. 2017

International Journal of Heat and Mass Transfer

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Most of the currently used models for droplet heating and evaporation are based on the assumption that droplets are perfect spheres. At the same time the shapes of many observed droplets in engineering applications are far from spherical. We have studied the influence of droplet non-sphericity on their heating and evaporation, approximating droplet shapes as prolate and oblate spheroids. The previously developed exact solutions to the heat and mass transfer equations for the gas phase surrounding a spheroidal droplet have been used as boundary conditions for the solutions to these equations in the liquid phase. The temperature gradients inside and at the surface of the droplets, and the changes in their shape during the heating and evaporation process have been taken into account. The effects of surface tension and droplet motion on droplet heating and evaporation are ignored. The results are applied to the analysis of heating and evaporation of an n-dodecane fuel droplet in Diesel engine-like conditions. The effect of droplet nonsphericity is shown to be relatively small for the evaporation time of these droplets with initial eccentricities 2/3 ≤ ǫ ≤ 1.5.

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