A trajectory box model describing the expansion and cooling of jet air
craft plumes at cruise altitude in the wake regime is presented. The f
orcing along the trajectory takes into account turbulent entrainment r
ates for the distinct dynamical regimes. (jet, vortex, and dispersion)
, with special emphasis on the proper treatment of jet mixing. The mod
el is used to study the plume evolution, especially the overall plume
dilution history, behind a subsonic B 747 and a planned supersonic air
liner under cruising conditions. The accuracy with which microphysical
ly relevant quantities like plume temperature and water saturation rat
io can be predicted with the box model is discussed by comparing the r
esults to spatially resolved, two-dimensional model calculations of je
t mixing. As an application, the gas phase chemical conversion of NO i
nto HNO2, of NO2 into HNO3, and of SO2 into H2SO4 taking place in the
early jet regime is investigated using a simplified plume chemistry. M
aximum conversion rates and their sensitivity to variations of the OH
exit plane concentration are examined by means of analytical expressio
ns.