ESCI 344 – Tropical Meteorology
Lesson 9 – The Tropical Oceans
References: Climate Dynamics of the Tropics, Hastenrath
Descriptive Physical Oceanography, Pickard and Emery
Ocean Circulation, Brown and Colling
“On the wind-driven ocean circulation”, W.H. Munk, J. Meteor., 7, 79‑93, 1950
Reading: Brown and Colling Section 5.1 (e-reserve)
BASIC OCEAN STRUCTURE
l The
ocean can be divided into three layers
o
Mixed (or surface) layer
o
Thermocline
o
Deep layer
l The
mixed layer is akin to the atmosphere’s planetary boundary layer.
l The
mixed layer gets its name from the fact that it tends to be well mixed, with
the temperature being nearly isothermal with depth.
l The
depth of the mixed layer varies with location and season. Typical ranges are from 25 to 500 meters.
l The
depth is determined primarily by how rough the seas are. The rougher the seas, the deeper the mixing.
o
Since seas are generally rougher in winter,
the mixed layer depth is usually deeper in winter than in summer.
l At
the bottom of the mixed layer is the beginning of the thermocline.
l The
thermocline is characterized by a decrease in temperature with depth.
l The
thermocline is a very stable layer.
Because of this, vertical mixing in the ocean at depths below the mixed
layer is very slow.
l Because
the ocean typically has a strong thermocline that inhibits mixing between the
mixed layer and the deep layer, it is sometimes conceptually and mathematically
convenient to model the ocean as a two-layer fluid.
SEA-SURFACE
TEMPERATURE
The images below show the monthly mean
sea-surface temperature (SST) for January and July. (Images provided by the NOAA-CIRES Climate Diagnostics
Center, Boulder, Colorado, USA, from their Web site at http://www.cdc.noaa.gov/.
January

July

Things
to note about the SST distribution
¡ Tongue
of cold SST along Equator in Atlantic and Pacific Oceans.
¡ Relatively
colder SST along west coasts of continents (except Australia) as compared to
the east coasts.
WIND
STRESS AND THE EKMAN SPIRAL
l The
horizontal momentum equations for the ocean are

where the stress terms (those involving t
) are due to vertical turbulent momentum fluxes (Reynolds stress).
For
steady flow the equations are

The
flow can be broken up into a part driven by the pressure gradient and that
driven by the stresses. The part driven
by the stresses is governed by the equations

l In
the early 1900’s an oceanography students named Ekman solved the above two
equations to find the vertical structure of flow driven by the wind
stress. His result is
![]()
where U0 and V0 are the zonal and meridional components of the
surface current, and
![]()
where K is the eddy viscosity.
l If
the solution above is plotted on a hodograph it traces a decaying clockwise
spiral with depth (in the Northern Hemisphere).
This is known as the Ekman spiral.
l The
depth of the Ekman layer is taken to be that point at which the spiral has made
one complete rotation (or the e-folding scale of the decay). Therefore, the depth of the Ekman layer is
.
Two
interesting and important facts about the Ekman spiral:
o
#1 – The surface current flows at exactly 45° to
the right of the surface wind (in
the NH).
¡ Objects such as icebergs, life rafts, etc.
will actually drift to the right of the prevailing wind.
o
#2 - The vertically-integrated mass transport in
the Ekman layer is directed at 90° to the right of the
surface wind.
EKMAN TRANSPORT AND
UPWELLING/DOWNWELLING
The
fact that the vertically-integrated
mass transport in the Ekman layer is directed at 90° to the right
of the surface wind is important in the distribution of ocean surface
temperature.
Off
of the east coast of North America, the winds from the Pacific High in spring
and summer blow nearly parallel down the coast.
¡ The
resultant Ekman transport is to the west, away from the coast.
¡ The
surface divergence along the coast results in the upwelling of cooler water from below, explaining the cooler SST
observed off of the west coast of North America.
¡ This
cool water helps keep the summertime climate of the coast cool and often foggy.
¡ The
Ekman transport forced by the South Pacific high also explains cool water off
of west coast of South America.
Along
the Equator, the trade winds result in Ekman transport away from the Equator in
both hemispheres.
¡ The
resultant surface divergence along the Equator results in upwelling of cooler
water from below, and explains the tongue of cold water observed in the SST
distribution in the Atlantic and Pacific Oceans.
l A
persistent anticyclone over the ocean will result in a net transport of ocean
water toward the center of the anticyclone, with down-welling pushing the
cooler deep water even deeper.
l A
persistent cyclone over the ocean will result in a net transport of ocean water
away from the center of the cyclone, with up-welling pulling the cooler deep
water toward the surface.
WIND-DRIVEN SURFACE CURRENTS IN A RECTANGULAR OCEAN
In 1950,
Walter Munk used a realistic latitudinal wind profile to derive what the
steady-state surface circulation would be in a rectangular ocean.
¡ His results are recreated in the figure
below.

The major
features of the circulation are:
¡ A cyclonically rotating subpolar gyre
¡ An anticyclonically rotating subtropical
gyre
¡ Two westward flowing equatorial currents
symmetric with the ITCZ (not the Equator).
¡ An eastward flowing equatorial counter
current between the equatorial currents.
¡ Strong, western boundary currents in the
subtropical and subpolar gyres, contrasted with weaker return flows east of the
gyre centers.
One
striking feature of this circulation pattern is the strong, well-defined western boundary current, as opposed to
the weaker, broader flow to the east of the gyre.
¡ The western boundary currents are due to
the fact that Coriolis changes with latitude.
If Coriolis were constant, the western boundary currents wouldn’t exist.
EQUATORIAL CURRENTS
The
surface currents in the Pacific and Atlantic have a similar structure, and can
be explained at least in part by convergence and divergence associated with
Ekman transport.

The
diagram above shows the air flow (open arrows) and the resultant Ekman
transport (dark arrows).
The “DIV”
and “CONV” denote regions of divergence and convergence in the Ekman transport.
¡ Regions of divergence will result in a
lowering of the sea-surface, while regions of convergence will raise the sea
surface.
Other
than within a degree or so of the Equator, the ocean flow will be parallel to
the sea-surface contours with low heights to the left in the Northern Hemisphere,
and to the right in the Southern Hemisphere.
¡ The ocean currents and their directions are
indicated by the “W” and “E” annotations, with “W” indicating a westward
current, while “E” indicates an eastward current.
The
resultant surface currents are the
¡ North Equatorial Current – Westward flowing
¡ Equatorial Counter Current – Eastward
flowing, more-or-less aligned with the ITCZ.
¡ South Equatorial Current – Westward
flowing, and in both hemispheres.
There is
also an Eastward flowing Equatorial Undercurrent that more-or-less flows along
the Equator at depth.
The
equatorial currents in the tropical Indian Ocean differ in that since the
atmospheric flow switches directions seasonally due to the monsoon, so do the
currents.
EAST-TO-WEST STRUCTURE OF THE THERMOCLINE
In the
tropical Pacific Ocean, the trade winds result in a net transport of surface
waters toward the western part of the basin, toward Indonesia and Australia.
This net
transport of surface waters results in a suppressing of the thermocline toward
the west, and a deep pool of warm surface water in the western part of the
basin.