GENERAL CIRCULATION OF THE LOWER STRATOSPHERE

397

and 30 mb. The results indicated a three-cell structure with equatorward drift at middle latitudes, but the values were too large to satisfy

the momentum budget. Dickinson” has considered the mean meridional
motions as being a forced circulation produced by the overall imbalances of other terms in the momentum and the energy budgets. He
has estimated the mean meridional motions from the equation for the
conservation of momentum alone and finds a three-cell structure
similar to that found by Oort. Reproduction of such large values as
those observed by Oort required a coefficient of eddy friction in the

vertical direction of 10° cm?/sec at 50 mb; this value is certainly too
large. It will be recalled that values of 10* to 10°, depending on
latitude and season, have been put forward for the lower stratosphere

(Friend et al.)** based on the spread of '®5w. Such values represent

the vertical diffusion produced by all scales of motion combined, and

it is possible that the large-scale motions produce essentially all the
diffusion, in which case the appropriate value remaining to be ascribed

to friction is zero.
Another of our colleagues, P. Gilman, has also given much thought
to the problems of mean meridional motion’’~?* considered as forced

by heat and momentum sources and sinks and has showntheoretically
that a three-cell circulation is a necessary consequenceof conditions
in the lowest 20 km of the atmosphere.

For present purposes let us consider diabatic heating by radiation
and by convergence of horizontal-eddy heat fluxes as the only important
heat-forcing functions and convergence of horizontal momentum eddy
fluxes as the only important momentum-forcing function. Thusfriction,

vertical flux of heat by eddies, and vertical flux of momentum by eddies
are ignored. Clark*®® has demonstrated that the latter is the case for
the stratosphere (100 to 30 mb). From our data the heating due to
convergence of vertical-eddy heat fluxes is also small compared with
the diabatic heating in the lower stratosphere. Estimates of the

vertical-eddy heat flux in the troposphere are not very reliable. There
are no real observations of friction. Thus the approximations made
are partly a matter of expediency. With these assumptions the equa-

tions for the mean meridional motion given by Gilman and others
simplify to
1

TG

“Tet
TZ
aap
9u/ap
T
=—
H=&

1
8 pa
* Te
ye + [V*T*])
a cos @ ag (lV’T’]
cos

—

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