George H. Bryan
NCAR
"Gravity currents in a deep anelastic atmosphere"
The layers of relatively cold air that develop near the ground below deep
moist convection are usually referred to as "cold pools." They play
a
fundamental role in the organization and propagation of mesoscale convective
systems (MCSs). Analyses of observations from BAMEX revealed that cold pools
are often 4 km deep in intense, midlatitude MCSs. Such large cold pool depths
raised concerns about the applicability of theoretical formulas that are used
to study cold pools, such as Benjamin's famous formula for the propagation
speed of cold pools. These formulas are based on the dynamics of gravity currents
-- i.e., the flows that develop as cold air spreads along a flat surface --
and the formulas were developed using the incompressible equations, which
are valid only for shallow flows (< 1 km). To gain new insight, an analytic
study was undertaken using the anelastic equations, which are appropriate
for deep (~10 km) flows. Two key results emerged from this study. First, the
maximum propagation speed of atmospheric cold pools is about 25% less than
was previously thought. Second, it is impossible to have a steady cold pool
greater than 4 km deep in the Earth's troposphere (under the assumptions used
in this study). These results will be explained in this talk, partly by drawing
an analogy to flow over an airfoil.