Analysis of the trajectory of changes in the radius of spherical water droplets in the non-stationary process of their evaporation and calculation of the lifetime of such droplets
https://doi.org/10.18384/2949-5067-2024-2-26-44
Abstract
Aim. The aim is to generalize the available analytical and numerical results of the study of nonstationary evaporation of water droplets in order to obtain a general dependence of the time of complete evaporation of droplets on the determining conditions.
Methodology. Operational calculus was used, in particular the Laplace integral transform.
Results. An equation has been obtained that allows one to calculate the time of complete evaporation of water droplets in a wide range of flow conditions around the droplets.
Research implications. The results of the work are significant both for conducting fundamental research on non-stationary evaporation of droplets in physical and chemical laboratories, and for practical use in a number of industries.
About the Authors
M. M. Kuznetsov
Federal State University of Education
Mikhail M. Kuznetsov – Dr. Sci. (Phys.-Math.), Assoc. Prof., Prof., Department of
Fundamental Physics and Nanotechnology
ulitsa Very Voloshinoi 24, Mytishchi 141014, Moscow Region
M. K. Kuzmin
Federal State University of Education
Mikhail K. Kuzmin – Dr. Sci. (Phys.-Math.), Senior Researcher, Educational and Research Laboratory of Theoretical and Applied Nanotechnology
ulitsa Very Voloshinoi 24, Mytishchi 141014, Moscow Region
J. D. Kuleshova
Federal State University of Education
Juliya D. Kuleshova – Cand. Sci. (Phys.-Math.), Assoc. Prof., Department of Higher Algebra, Mathematical Analysis and Geometry, Dean of the Faculty of Physics and Mathematics
ulitsa Very Voloshinoi 24, Mytishchi 141014, Moscow Region
References
1. Antonov D. V., Vysokomornaya O. V., Kuznetsov G. V., Piskunov M. V. [Prognosis model for investigating the evaporation of water droplets]. In: Inzhenerno-fizicheskiy zhurnal [Journal of Engineering Physics and Thermophysics], 2019, vol. 92, no. 4, pp. 936–944.
2. Antonov D. V., Kuznetsov G. V., Strizhak P. A. [Mathematical simulation of the heat and mass transfer in the movement of liquid droplets in a gas medium under the conditions of their intense phase transformations]. In: Inzhenerno-fizicheskiy zhurnal [Journal of Engineering Physics and Thermophysics], 2020, vol. 93, no. 5, pp. 1093–1114.
3. Bochkareva Ye. M., Ley M. K., Terekhov V. V., Terekhov V. I. [Methodological characteristics of an experimental investigation of the process of evaporation of suspended liquid droplets]. In: Inzhenerno-fizicheskiy zhurnal [Journal of Engineering Physics and Thermophysics], 2019, vol. 92, no. 5, pp. 2208–2217.
4. Gubaydullin D. A., Panin K. A., Fedorov Yu. V. [Acoustics of a liquid with droplets covered by a shell in the presence of phase transitions]. In: Izvestiya Rossiyskoy akademii nauk. Mekhanika zhidkosti i gaza [Fluid Dynamics], 2022, no. 4, pp. 41–51. DOI: 10.31857/S056852812204003X.
5. Golubkina I. V., Osiptsov A. N. [Partly and fully dispersed compression waves in a gasdroplet mixture with phase transitions]. In: Izvestiya Rossiyskoy akademii nauk. Mekhanika zhidkosti i gaza [Fluid Dynamics], 2022, no. 3, pp. 44–55. DOI: 10.31857/S0568528122030069.
6. Kuznetsov G. V., Strizhak P. A. [Evaporation of water droplets moving through hightemperature gases]. In: Inzhenerno-fizicheskiy zhurnal [Journal of Engineering Physics and Thermophysics], 2018, vol. 91, no. 1, pp. 104–111.
7. Terekhov V. I., Terekhov V. V., Shishkin N. Ye., Bi K. Ch. [Heat and mass transfer in disperse and porous media experimental and numerical investigations of nonstationary evaporation of liquid droplets]. In: Inzhenerno-fizicheskiy zhurnal [Journal of Engineering Physics and Thermophysics], 2010, vol. 83, no. 5, pp. 829–836.
8. Fuks N. A. Ispareniye i rost kapel v gazoobraznoy srede [Evaporation and growth of droplets in a gaseous medium]. Moscow, USSR Academy of Sciences Publ., 1958. 91 p.
9. Doetsch G. Anleitung zum praktischen Gebrauch der Laplace-Transformation und der ZTransformation (Russ. ed.: Volpert G. A., transl. Rukovodstvo k prakticheskomu primeneniyu preobrazovaniya Laplasa i Z-preobrazovaniya. Moscow, Nauka publ., 1971. 288 p.).
10. Kuzmin M. K., Yalamov Yu. I. Teoriya nestatsionarnykh fazovykh perekhodov i dvizheniya aerozol'nykh chastits v teplovykh polyakh [Theory of non-stationary phase transitions and motion of aerosol particles in thermal fields]. Moscow, Moscow State Region University Publ., 2007. 232 p.
11. Kuzmin M. K. [The theory of nonstationary evaporation of spherical aerosol drop in view of dependence of saturated steam pressure from curvature of its surface]. In: Vestnik Moskovskogo gosudarstvennogo oblastnogo universiteta. Seriya: Fizika – matematika [Bulletin of the Moscow Region State University. Series: Physics-Mathematics], 2012, no. 3, pp. 39–49.
12. Shchukin Ye. R., Yalamov Yu. I., Shulimanova Z. L. Izbrannyye voprosy fiziki aerozoley [Selected Topics in Aerosol Physics]. Moscow, Moscow Pedagogical University Publ., 1992. 297 p.
13. Kozyrev A. V., Sitnikov A. G. [Evaporation of a spherical droplet in a moderate-pressure gas]. In: Uspekhi fizicheskikh nauk [Physics-Uspekhi (Advances in Physical Sciences)], 2001, vol. 171, no. 7, pp. 765–774. DOI: 10.3367/UFNr.0171.200107c.0765.
14. Galoyan V. S., Yalamov Yu. I. Dinamika kapel v neodnorodnykh vyazkikh sredakh [Dynamics of drops in inhomogeneous viscous media]. Yerevan, Luys Publ., 1985. 208 p.
15. Nix N., Fukuta N. Nonsteady-state theory of droplet growth. In: The Journal of Chemical Physics, 1973, vol. 58, iss. 4, pp. 1735–1740. DOI: 10.1063/1.1679418.
16. Amelin A. G. Teoreticheskiye osnovy obrazovaniya tumana pri kondensatsii para [Theoretical Foundations of Fog Formation during Steam Condensation]. Moscow, Khimiya Publ., 1972. 293 p.
17. Zunjing W., Min C., Zengyuan G. Xi`an jiaotong daxue xuebao. In: Journal of Xi`an Jiaotong University, 2001, vol. 35, no. 11, pp. 1126–1130.
18. Kuznetsov M. M., Kuzmin M. K., Kuleshova Yu. D. [On the formula acceptable for calculating the time of complete evaporation of both small and large spherical water droplets]. In: Vestnik Moskovskogo gosudarstvennogo oblastnogo universiteta. Seriya: Fizika – matematika [Bulletin of the Moscow Region State University. Series: PhysicsMathematics], 2022, no. 2, pp. 56–69. DOI: 10.18384/2310-7251-2022-2-56-69.
Review
Views:
74
Email this article 