Research output: Contribution to journal › Article › peer-review
The Stefan outflow in a multicomponent vapor-gas atmosphere around a droplet and its role for cloud expansion. / Kuchma, A.E.; Shchekin, A.K.; Martyukova, D.S.
In: Journal of Aerosol Science, Vol. 102, 2016, p. 72–82.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - The Stefan outflow in a multicomponent vapor-gas atmosphere around a droplet and its role for cloud expansion
AU - Kuchma, A.E.
AU - Shchekin, A.K.
AU - Martyukova, D.S.
PY - 2016
Y1 - 2016
N2 - A new comprehensive analysis of Stefan’s flow caused by a free growing droplet in the vapor-gas atmosphere with several condensing components is presented. This analysis, based on the nonstationary heat and material balance and diffusion transport equations, shows the appearance of the Stefan inflow in the vicinity of the growing droplet and the Stefan outflow at large distances from the droplet as a consequence of nonisothermal condensation. For an ensemble of droplets in the atmospheric cloud, this outflow provides an increase of the total volume of the cloud, which can be treated as cloud thermal expansion and leads to the rise of the cloud as a whole due to increasing its buoyancy. We have formulated the self-similar solutions of the nonstationary diffusion and heat conduction equations for a growing multicomponent droplet and have derived analytical expressions for the nonstationary velocity profile of Stefan’s flow and the expansion volume of the vapor-gas mixture around the growing droplet. To illustrate the a
AB - A new comprehensive analysis of Stefan’s flow caused by a free growing droplet in the vapor-gas atmosphere with several condensing components is presented. This analysis, based on the nonstationary heat and material balance and diffusion transport equations, shows the appearance of the Stefan inflow in the vicinity of the growing droplet and the Stefan outflow at large distances from the droplet as a consequence of nonisothermal condensation. For an ensemble of droplets in the atmospheric cloud, this outflow provides an increase of the total volume of the cloud, which can be treated as cloud thermal expansion and leads to the rise of the cloud as a whole due to increasing its buoyancy. We have formulated the self-similar solutions of the nonstationary diffusion and heat conduction equations for a growing multicomponent droplet and have derived analytical expressions for the nonstationary velocity profile of Stefan’s flow and the expansion volume of the vapor-gas mixture around the growing droplet. To illustrate the a
KW - Condensation
KW - Evaporation
KW - Droplet
KW - Cloud microphysics
KW - Diffusion
KW - Thermoconductivity
KW - Stefan’s flow
KW - Evaporation heat
U2 - 10.1016/j.jaerosci.2016.08.014
DO - 10.1016/j.jaerosci.2016.08.014
M3 - Article
VL - 102
SP - 72
EP - 82
JO - Journal of Aerosol Science
JF - Journal of Aerosol Science
SN - 0021-8502
ER -
ID: 7584463