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Enhanced Evaporation of Droplet of Ternary Component Under the Effect of Thermo-physical and Transport Properties Variability

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Abstract

This work simulates the heat and mass transfer of the fuel droplets evaporated in a hot medium. The proposed model includes the vaporization of multi-component fuel droplet, in laminar forced convection. The results show that the various components, of different molecular weights, vaporize at different temperatures. Furthermore, the non-miscibility of the mixture of the hydrocarbons liquid droplet is observed. The profile of the regression of the droplet square diameter does not follow the \(d^{2}\) law and presents three evaporation rates rather than a single one. New correlations for the evaporation rate versus Reynolds and Schmidt numbers are proposed for different air velocities, different initial droplet radii, and different initial mass fractions.

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Abbreviations

B :

Spalding number

\(C_{p}\) :

Specific heat (\(\hbox {J}\,\hbox {kg}^{-1}\,\hbox {K}^{-1}\))

D :

Diffusion coefficient (\(\hbox {m}^{2}\,\hbox {s}^{-1}\))

d :

Droplet diameter (m)

K :

Evaporation rate (\(\hbox {mm}^{2}\,\hbox {s}^{-1}\))

\({<}{K}{>}\) :

Average evaporation rate (\(\hbox {mm}^{2}\,\hbox {s}^{-1}\))

L :

Latent heat (\(\hbox {J\,kg}^{-1}\))

M :

Molar mass (\(\hbox {kg\,kmol}^{-1}\))

Nu :

Nusselt number

P :

Pressure (atm)

Pr :

Prandtl number

r :

Droplet radius (m)

Re :

Reynolds number

Sc :

Schmidt number

Sh :

Sherwood number

t :

Time (s)

T :

Temperature (K)

u :

Air velocity (\(\hbox {m\,s}^{-1}\))

Y :

Mass fraction

\(\eta \) :

\(r/r_{s}\)

\(\lambda \) :

Thermal conductivity (\(\hbox {W\,m}^{-1}\,\hbox {K}^{-1}\))

\(\rho \) :

Density (\(\hbox {kg\,m}^{-3}\))

a :

Air

crit :

Critical

f :

Fuel

ebn :

Boiling

fT :

Heat transfer limit

fM :

Mass transfer limit

g :

Gas

i :

Component

L :

Liquid

l :

Liquid

M :

Mass

s :

Surface

T :

Thermal

VS :

Saturated vapor

v :

Vapor

\(\infty \) :

Ambient medium

0:

Initial

*:

Defined

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Authors and Affiliations

  1. Laboratory of Applied Physics (LPA), Group of Mechanical, Thermal & Renewable Energies (GMTER), Beirut, Lebanon

    J. Dgheim, M. Abdallah & N. Nasr

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  1. J. Dgheim
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  2. M. Abdallah
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  3. N. Nasr
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Correspondence to J. Dgheim.

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Dgheim, J., Abdallah, M. & Nasr, N. Enhanced Evaporation of Droplet of Ternary Component Under the Effect of Thermo-physical and Transport Properties Variability. Arab J Sci Eng 43, 2181–2194 (2018). https://doi.org/10.1007/s13369-017-2561-8

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