An analytical model of liquid drop evaporation in gaseous environment

Tonini, Simona; Cossali, Gianpietro

doi:10.1016/j.ijthermalsci.2012.01.017

Cited by 65 publications

(61 citation statements)

References 4 publications

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“…where L is the latent heat of evaporation,Ṙ de is the change of droplet radius due to evaporation, which is taken from the previous time step and estimated based on Equation (31). R d and all other thermodynamic and transport properties are assumed constant in the analytical solution, but are updated at the end of each time step ∆t.…”

Section: Droplet Heatingmentioning

confidence: 99%

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A multi-dimensional quasi-discrete model for the analysis of Diesel fuel droplet heating and evaporation

Sazhin

Qubeissi

Nasiri

et al. 2014

Fuel

124

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A new multi-dimensional quasi-discrete model is suggested and tested for the analysis of heating and evaporation of Diesel fuel droplets. As in the original quasi-discrete model suggested earlier, the components of Diesel fuel with close thermodynamic and transport properties are grouped together to form quasi-components. In contrast to the original quasi-discrete model, the new model takes into account the contribution of not only alkanes, but also various other groups of hydrocarbons in Diesel fuels; quasi-components are formed within individual groups. Also, in contrast to the original quasidiscrete model, the contributions of individual components are not approximated by the distribution function of carbon numbers. The formation of quasi-components is based on taking into account the contributions of individual components without any approximations. Groups contributing small * Corresponding author.Tel. +44 (0)

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Section: Droplet Heatingmentioning

confidence: 99%

“…This assumption was relaxed in the recently developed model described in [31,32]. As follows from Equation (28), ϕ is a function of B T .…”

Section: Droplet Evaporationmentioning

confidence: 99%

A multi-dimensional quasi-discrete model for the analysis of Diesel fuel droplet heating and evaporation

Sazhin

Qubeissi

Nasiri

et al. 2014

Fuel

124

View full text Add to dashboard Cite

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“…(4) was solved assuming that at large distances from the droplet Y v = Y v∞ = const, and the condition ρ tot = ρ v + ρ a = const is valid (see [1]). The assumption ρ tot = ρ v + ρ a = const was relaxed in [17].…”

Section: Gas Phasementioning

confidence: 99%

“…The generalisation of the approach suggested in [17] to the case of spheroidal droplets has not been considered so far to the best of our knowledge.…”

Section: Gas Phasementioning

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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Mechanistic models for liquid binder evaporation in wet granulation

2022

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In this study, binder evaporation as a significant microscale phenomenon in fluidized bed wet granulation has been investigated in three situations: a single droplet, a sessile droplet, and a liquid bridge. Single droplet evaporation has been analytically modelled by mass transfer analysis from a spherical droplet subjected to the relative velocity of the medium and considering evaporation rate variations versus droplet diameter. Then, the sessile droplet evaporation model has been used from the literature. Finally, the liquid bridge evaporation has been modelled, and the rupture time of the bridge has been computed. The local temperature dependence of air physicochemical properties has been considered in all models. The single and sessile droplet evaporation rates have been successfully validated by the experimental data of the air–water system. The effects of operational conditions and liquid/particle properties on each evaporation event have been evaluated and quantified. The results indicate that both the higher relative velocity between the air and a single droplet and the smaller equilibrium contact angle in a constant volume of sessile droplets increase the evaporation rate. Also, increasing the length of the binder bridge reduces the rupture time.

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An analytical model of liquid drop evaporation in gaseous environment

Cited by 65 publications

References 4 publications

A multi-dimensional quasi-discrete model for the analysis of Diesel fuel droplet heating and evaporation

A multi-dimensional quasi-discrete model for the analysis of Diesel fuel droplet heating and evaporation

Mathematical modelling of heating and evaporation of a spheroidal droplet

Mechanistic models for liquid binder evaporation in wet granulation

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