International Journal of Physics
ISSN (Print): 2333-4568 ISSN (Online): 2333-4576 Website: https://www.sciepub.com/journal/ijp Editor-in-chief: B.D. Indu
Open Access
Journal Browser
Go
International Journal of Physics. 2023, 11(3), 97-105
DOI: 10.12691/ijp-11-3-1
Open AccessArticle

Study of the Thermodynamic Properties of a Drop in an Environment under Subcritical Conditions During Evaporation

Yendoubouame Lare1, Koffi Sagna1, 2, , Kodjo S. Apeke3, Dzidula K. Afodanyi2, Yendoubé Lare2 and Amah S. d’Almeida4

1Department of Physics, Faculty of Sciences, University of Lomé, Lomé, Togo

2Centre d’Excellence Régional pour la Maîtrise de l’Electricité (CERME), University of Lomé, Lomé, Togo

3Ecole Polytechnique de Lomé, University of Lomé, Lomé, Togo

4Department of Mathematics, Faculty of Sciences, University of Lomé, Lomé, Togo

Pub. Date: June 06, 2023

Cite this paper:
Yendoubouame Lare, Koffi Sagna, Kodjo S. Apeke, Dzidula K. Afodanyi, Yendoubé Lare and Amah S. d’Almeida. Study of the Thermodynamic Properties of a Drop in an Environment under Subcritical Conditions During Evaporation. International Journal of Physics. 2023; 11(3):97-105. doi: 10.12691/ijp-11-3-1

Abstract

Evaporation of a droplet in hotter environment for the same fluid in subcritical condition has been studied in this work by analyzing the thermodynamic properties. The physical model used is based on Navier-Stokes equations. To simplify the computations, we assumed that the droplet has a spherical symmetry and evolves in quasi steady case and laminar conditions. The study is mainly characterized by the fact that the equation of conservation of momentum is effectively taken into account and that the velocity of the droplet is not always uniform. The analysis of the evolution of temperature, mass flow and velocity in the droplet and in the gaseous phase reveals the presence of discontinuities in the drop towards its boundary and of an unbalanced energy layer attached to the interface when the speed is not uniform in the drop.

Keywords:
Navier-stokes equations evaporation droplet temperature density and velocity

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  Christian Chauveau, Madjid Birouk, Iskender Gökalp, “An analysis of the d2-law departure during droplet evaporation in microgravity,” International Journal of Multiphase Flow, vol. 37, p. 252-259, november 2011.
 
[2]  D. Ju, L. Huang, K. Zhang et al., “Comparison of evaporation rate constants of a single fuel droplet entering subcritical and supercritical environments,” Journal of Molecular Liquids, vol. 347, 2022.
 
[3]  R. Reitz, F. Bracco, “Mechanism of Atomization of a liquid Jet,” Phys. Fluids 25, pp. 1730-1742, 1982.
 
[4]  Sazhin, Sergei S., “Advanced models of fuel droplet heating and evaporation,” Progress in Energy and Combustion Science, vol. 32, p. 162-214, 2006.
 
[5]  Maxwell, J.C., “Diffusion,” in Encyclopaedia Britannica, ninth ed, 1877.
 
[6]  G. C. S. Tonini, “An analytical model of liquid drop evaporation in gaseous environment,” International Journal of Thermal Sciences, vol. 57, pp. 45-53, 2012.
 
[7]  Spalding D., B., “Combustion of fuel particles,” Fuel, vol. 30, 1951.
 
[8]  GODSAVE, G. A. E., “Studies of the combustion of drops in a fuel spray the burning of single drops of fuel,” in in Fourth Symposium on Combustion, 1953.
 
[9]  S. Saengkaew, T. Charinpanikul, C. Laurent, Y. Biscos, G., “Processing of individual rainbow signals,” Exp. Fluids, vol. 48, pp. 111-119, 2010.
 
[10]  S. Saengkaew, D. Bonin, P. Briard, and G. Gréhan, “Réfractométrie d'arc-en-ciel global à faisceau pulsé: Estimation des concentrations et des distancesinter-particulaires,” in Congrès Francophone de Techniques Laser (CFTL2010), Vandoeuvre-lès-Nancy (France), 2010.
 
[11]  Koffi Sagna, Amah D’Almeida, “A Study of Droplet Evaporation,” American Journal of Modern Physics, vol. 2, pp. 71-76, 2013.
 
[12]  Koffi Sagna, Komi Apélété Amou, Tchamye Tcha-Esso Boroze, Djima Kassegne, Amah d’Almeida, Kossi Napo, “Environmental Pollution due to the Operation of Gasoline,” International Journal of Oil, Gas and Coal Engineering Engines: Exhaust Gas Law, vol. 5, no. 4, pp. 39-43, 2017.
 
[13]  FAETH, G. M., “EVAPORATION AND COMBUSTION OF SPRAYS,” Prog. Energy Combust. Sci, vol. 9, pp. 1-76, 1983.
 
[14]  Sanchez-Tarifa C., Crespo A., Fraga E., “Theoretical model for the combustion of droplets in super-critical conditions and gas pockets,” Astronautica Acta, vol. 17, pp. 685-692, 1972.
 
[15]  MANUEL ARIAS-ZUGASTI, PEDRO L. GARCÍA-YBARRA & JOSE L. CASTILLO, “Unsteady Effects in droplet vaporisation lifetimes at subcritical and supercritical conditions,” Combust. Sci. and Tech, vol. 153, pp. 179-191, 2000.
 
[16]  D’ALMEIDA, PRUD’HOMME, “Evaporation de gouttes: lois de recession du rayon,” in 19e Congres Franc¸ais de Mécanique, Marseille, 2009.
 
[17]  SAGNA Koffi, “Étude de l’évaporation d’une goutte liquide isolée à pressions subcritique et supercritique,” Université de Lomé, Lomé, 2014.
 
[18]  C. H. CHIANG, M. S. RAJUt and W. A. SIRIGNANO, “Numerical analysis of convecting, vaporizing fuel droplet with variable properties,” vol. 35, no. 5, pp. 1307-132, 1992.