The equilibrium state of solution droplets formed in the vapor of volatile components has been considered. The criterion of equilibrium of the solution droplets and the vapor of volatile organic compounds has been given, on whose basis the droplet size was estimated quantitatively as a function of the partial pressure of the components. In accordance with a thermodynamic description, the droplet size was unambiguously determined by the composition of a gas medium. The equilibrium state (radius and concentration) of droplets of ideal and real binary solutions has been compared at the same composition of the gas medium. It has been shown that the droplet size of the real solutions with a positive deviation from ideality exceeds the droplet size of the ideal solution, and the droplet size of the real solutions with a negative deviation from ideality is smaller than that of the ideal solution. The described regularities have been illustrated by microscopic photographs demonstrating the forming of an ensemble of secondary droplets.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
W. Ostwald, Particle coarsening: a process also called Ostwald ripening, Z. Phys. Chem., 22, No. 2, 289–330 (1897).
A. G. Amelin, Theoretical Foundations of Fogging in the Chemical Industry [in Russian], GNTIKhL, Moscow–Leningrad (1951).
N. Fuks, Evaporaion and Droplet Growth in a Gaseous Medium [in Russian], AN SSSR, Moscow (1958).
K. Mittal, Micellization, Solubilization, and Microemulsions, Plenum Press, New York (1977).
J. W. Gibbs, Thermodynamic Works [Russian translation], GITTL, Moscow–Leningrad (1950).
J. Bogovic, S. Stopic, and B. Friedrich, Nanosized metallic oxide produced by ultrasonic spray pyrolysis method, Proc. EMC "Resources Efficiency in the Non-Ferrous Metals Industry-Optimization and Improvement," June 26–29, 2011, Düsseldorf, 3, 1053–1064 (2011).
S. P. Fisenko, Yu. A. Khodyko, O. G. Penyazkov, and V. I. Saverchenko, Droplet evaporation on a substrate at the final stage of low pressure spray pyrolysis and the final morphology of nanoparticles, Int. J. Heat Mass Transf., 78, 599–603 (2014).
S. S. Sazhin, A. E. Elwardany, P. A. Krutitskii, V. Deprédurand, and G. Castanet, Multi-component droplet heating and evaporation: Numerical simulation versus experimental data, Int. J. Therm. Sci., 50, No. 7, 1164–1180 (2011).
S. Sazhin, Droplets and Sprays, Springer, London (2014).
L. Z igan, I. Schmitz, A. Flügel, M. Wensing, and A. Leipertz, Structure of evaporating single- and multicomponent fuel sprays for 2nd generation gasoline direct injection, Fuel, 90, No. 1, 348–363 (2011).
S. P. Fisenko and Yu. A. Khodyko, Numerical investigation of the low-pressure evaporative cooling of a substrate, J. Eng. Phys. Thermophys., 91, No. 1, 96–103 (2018).
Y. S. Djikaev and E. Ruckenstein, Does the enthalpy of heterogeneous chemical reactions affect the formation of aqueous secondary organic aerosols?, J. Phys. Chem. Lett., 9, No. 18, 5311–5316 (2018).
L. D. Yee, J. S. Craven, C. L. Loza, K. A. Schilling, N. L. Ng, M. R. Canagaratna, P. J. Ziemann, R. C. Flagan, and J. H. Seinfeld, Secondary organic aerosol formation from low-NOx photooxidation of dodecane: Evolution of multigeneration gas-phase chemistry and aerosol composition, J. Phys. Chem. A, 116, No. 24, 6211–6230 (2012).
V. Perraud, E. A. Bruns, M. J. Ezell, S. N. Johnson, Y. Yu, M. L. Alexander, A. Zelenyuk, D. Imre, W. L. Chang, D. Dabdub, J. F. Pankow, and B. J. Finlayson-Pitts, Nonequilibrium atmospheric secondary organic aerosol formation and growth, Proc. Natl. Acad. Sci. USA, 109, No. 8, 2836–2841 (2012).
Y. Iinuma, O. Böge, Y. Miao, B. Sierau, T. Gnauk, and H. Herrmann, Laboratory studies on secondary organic aerosol formation from terpenes, Faraday Disc., 130, 279–294 (2005).
V. B. Fedoseev, A. V. Shishulin, E. K. Titaeva, and E. N. Fedoseeva, On the possibility of the formation of a NaCl–KCl solid-solution crystal from an aqueous solution at room temperature in small-volume systems, Phys. Solid State, 58, No. 10, 2095–2100 (2016).
A. V. Shishulin and V. B. Fedoseev, On some peculiarities of stratification of liquid solutions within pores of fractal shape, J. Mol. Liq., 278, 363–367 (2019).
V. B. Fedoseev and E. N. Fedoseeva, States of a supersaturated solution in limited-size systems, JETP Lett., 97, No. 7, 408–412 (2013).
V. B. Fedoseev and M. V. Maksimov, Solution–crystal–solution oscillatory phase transitions in the KCl–NaCl–H2O system, JETP Lett., 101, No. 6, 390–393 (2015).
V. B. Fedoseev, Oscillating phase transitions "solution–gas" and "solution–crystal" in droplets of solutions with a single crystallizable component, Nelin. Dinam., 13, No. 2, 195–206 (2017).
D. S. Martyukova, A. E. Kuchma, and A. K. Shchekin, Dynamics of variations in size and composition of a binary droplet in a mixture of two condensing vapors and a passive gas under arbitrary initial conditions, Colloid J., 75, No. 5, 571–578 (2013).
A. E. Kuchma, A. A. Mikheev, A. K. Shchekin, N. E. Esipova, and S. V. Itskov, Evaporation dynamics of a binary sessile droplet: Theory and comparison with experimental data on a droplet of a sulfuric-acid solution, Colloid J., 79, No. 6, 779–787 (2017).
C. Wohlfarth, Surface Tension of Pure Liquids and Binary Liquid Mixtures, Vol. IV/24, Springer, Berlin, Heidelberg (2015).
S. Walas, Phase Equilibria in Chemical Engineering [Russian translation], Vol. 2, Mir, Moscow (1989).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 93, No. 5, pp. 1154–1161, September–October, 2020.
Rights and permissions
About this article
Cite this article
Fedoseev, V.B., Fedoseeva, E.N. Formation of Monodisperse and Narrow Disperse Ensembles of Droplets of Aqueous Organic Solutions in the Vapor of Volatile Components. J Eng Phys Thermophy 93, 1116–1122 (2020). https://doi.org/10.1007/s10891-020-02212-6
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-020-02212-6