Abstract
The problem of the dispersion of a stream of hot gas from a point
is considered. It is shown that a plausible assumption concerning
the mechanism of entrainment of air by the jet leads to simple expressions
for the mean temperature and mean velocity of a jet of hot air rising
in a calm atmosphere of uniform potential temperature. The theoretical
expressions are shown to agree with the laboratory measurements of
Schmidt, and it is found that the coefficient of diffusion for these
conditions is of the same order of magnitude as that which is derived
from the large-scale spreading of cold smoke in the atmosphere. Finally,
an approximate solution is given for the shape of the plume from
a hot source in a horizontal wind, and it is demonstrated that the
reduction of maximum concentration at ground level, caused by adding
heat to the effluent from a stack, is directly proportional to the
strength of the heat source and inversely proportional to the height
of the chimney and the cube of the horizontal wind speed.
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