@Article{MakarievaGNSNBNL:2017:EqMoMo,
author = "Makarieva, Anastassia M. and Gorshkov, Victor G. and Nefiodov,
Andrei V. and Sheil, Douglas and Nobre, Antonio Donato and
Bunyard, Peter and Nobre, Paulo and Li, Bai-Lian",
affiliation = "{Petersburg Nuclear Physics Institute} and {Petersburg Nuclear
Physics Institute} and {Petersburg Nuclear Physics Institute} and
{Norwegian University of Life Sciences} and {Instituto Nacional de
Pesquisas Espaciais (INPE)} and {Lawellen Farm} and {Instituto
Nacional de Pesquisas Espaciais (INPE)} and {University of
California}",
title = "The equations of motion for moist atmospheric air",
journal = "Journal of Geophysical Research: Atmospheres",
year = "2017",
volume = "122",
number = "14",
pages = "7300--7307",
month = "July",
abstract = "How phase transitions affect the motion of moist atmospheric air
remains controversial. In the early 2000s two distinct
differential equations of motion were proposed. Besides their
contrasting formulations for the acceleration of condensate, the
equations differ concerning the presence/absence of a term equal
to the rate of phase transitions multiplied by the difference in
velocity between condensate and air. This term was interpreted in
the literature as the reactive motion associated with
condensation. The reasoning behind this reactive motion was that
when water vapor condenses and droplets begin to fall the
remaining gas must move upward to conserve momentum. Here we show
that the two contrasting formulations imply distinct assumptions
about how gaseous air and condensate particles interact. We show
that these assumptions cannot be simultaneously applicable to
condensation and evaporation. Reactive motion leading to an upward
acceleration of air during condensation does not exist. The
reactive motion term can be justified for evaporation only; it
describes the downward acceleration of air. We emphasize the
difference between the equations of motion (i.e., equations
constraining velocity) and those constraining momentum (i.e.,
equations of motion and continuity combined). We show that owing
to the imprecise nature of the continuity equations, consideration
of total momentum can be misleading and that this led to the
reactive motion controversy. Finally, we provide a revised and
generally applicable equation for the motion of moist air.",
doi = "10.1002/2017JD026773",
url = "http://dx.doi.org/10.1002/2017JD026773",
issn = "2169-8996 and 2169-897X",
language = "en",
targetfile = "
Makarieva_et_al-2017-Journal_of_Geophysical_Research-_Atmospheres.pdf",
urlaccessdate = "27 abr. 2024"
}