Numerical study of growing droplets dynamics in unsteady thermal convection flow
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 3, pp. 125-137
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A mathematical model describing the unsteady thermal convection flow and deposition of growing droplets in an expansion-type Kelvin spectrometer is developed. The model includes the Navier–Stokes equations to describe the gas dynamic processes and a droplet growth model accounting for vapor depletion due to condensation. The evolution of gas temperature and velocities and growing droplet dynamics inside the spectrometer chamber are studied using CFD (computational fluid dynamics) code Fluent. The relative droplet concentrations and mass densities of condensed vapor on all droplets as a time function are investigated. In so doing it has been taking into account the droplet growth by condensation, sedimentation, heat conduction, thermal convection, droplet evaporation. It is shown that the droplet life time in the measuring chamber is limited by two processes: deposition on the walls and evaporation. The relative contribution of evaporation and sedimentation depends on the initial saturation.
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     title = {Numerical study of growing droplets dynamics in unsteady thermal convection flow},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_3_a10/}
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R. S. Galeev; V. Holländer; Sh. Kh. Zaripov. Numerical study of growing droplets dynamics in unsteady thermal convection flow. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 3, pp. 125-137. http://geodesic.mathdoc.fr/item/UZKU_2006_148_3_a10/

[1] Carslaw H. S., Jaeger J. C., Conduction of Heat in Solids, Clarendon, 1980, 510 pp. | MR

[2] Holläder W., Dunkhorst W., Lodding H., Windt H., “Theoretical simulation and experimental characteristic of an expansion-type Kelvin Spectrometer with intrinsic calibration”, J. of Atmospheric and Oceanic Technology, 19 (2002), 1811–1825 | 2.0.CO;2 class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI

[3] Kojic M., Tsuda A., “A simple model for gravitational deposition of non-diffusing particles in oscillatory laminar pipe flow and its application to small airways”, J. of Aerosol Science, 35 (2004), 245–261 | DOI

[4] Patankar S. V., Numerical Heat Transfer and Fluid Flow, McGraw-Hill, N. Y., 1980 | Zbl

[5] Seinfeld J. H., Pandis S. N., Atmospheric Chemistry and Physics, Wiley, 1998, 1326 pp.