Von Karman Votex Wake Clouds!
Kármán Vortex Street & Wake Vortices
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A Kármán vortex street is a repeating pattern of swirling vortices caused by
the unsteady separation of flow over bluff bodies. They are named after the
engineer and fluid dynamicist, Theodore von Kármán.
Relative motion between an object and a fluid is common occurrence. Simple
examples are the motion of a plane in flight or the wind blowing on an obstacle.
Obstacles disturb the flow and create particular shapes in their wakes. This
phenomenon can be easily observed behind piers of a bridge, where eddies appear
and are blown by the stream.
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Von Karman Examples:
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This wake (at right) might be complex depending on the shape of the obstacle. In order
to understand this phenomenon, studies are done on a simple case: a
two-dimensional flow past a circular cylinder. This case illustrates Strouhal
instability and the particular wake known as Von Karman Vortex Street. It is a
succession of eddies created close to the cylinder that break away alternatively
from both sides of the cylinder. Vortex are emitted regularly and rotate in
opposite senses.
When a vortex is shed, an asymmetrical flow pattern forms around the body,
which therefore changes the pressure distribution. This means that the alternate
shedding of vortices can create periodic lateral forces on the body in question,
causing it to vibrate. If the vortex shedding frequency is similar to the
natural frequency of a body or structure, it causes resonance. It is this forced
vibration which, when at the correct frequency, causes suspended telephone or
power lines to "sing", the antennae on your car to vibrate more strongly at
certain speeds and it is also responsible for the fluttering of Venetian blinds
as the wind passes through them, and causes these vortices. |
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Von Karman examples viewed from below |
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Each of these swirling clouds is the result of a meteorological phenomenon
known as a von Karman vortex. These vortices appeared over Alexander Selkirk
Island in the southern Pacific Ocean. Rising precipitously from the surrounding
waters, the island’s highest point is nearly a mile (1.6 km) above sea level. As
wind-driven clouds encounter this obstacle, they flow around it to form large,
spinning eddies. |
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This Landsat 7 image of clouds off the Chilean coast near the Juan
Fernandez Islands (also known as the Robinson Crusoe Islands) on September
15, 1999, shows a unique pattern called a "von Karman vortex street." This
pattern has long been studied in the laboratory, where the vortices are
created by oil flowing past a cylindrical obstacle, making a string of
vortices only several tens of centimeters long. Study of this classic "flow
past a circular cylinder" has been very important in the understanding of
laminar and turbulent fluid flow that controls a wide variety of phenomena,
from the lift under an aircraft wing to Earth's weather.
Here, the cylinder is replaced by Alejandro Selkirk Island (named
after the true "Robinson Crusoe," who was stranded here for many months in
the early 1700s). The island is about 1.5 km in diameter, and rises 1.6 km
into a layer of marine stratocumulus clouds. This type of cloud is important
for its strong cooling of the Earth's surface, partially counteracting the
Greenhouse warming. An extended, steady equatorward wind creates vortices
with clockwise flow off the eastern edge and counterclockwise flow off the
western edge of the island. The vortices grow as they advect hundreds of
kilometers downwind, making a street 10,000 times longer than those made in
the laboratory. Observing the same phenomenon extended over such a wide
range of sizes dramatizes the "fractal" nature of atmospheric convection and
clouds. Fractals are characteristic of fluid flow and other dynamic systems
that exhibit "chaotic" motions.
Both clockwise and counter-clockwise vortices are generated by flow
around the island. As the flow separates from the island's leeward (away
from the source of the wind) side, the vortices "swallow" some of the clear
air over the island. (Much of the island air is cloudless due to a local
"land breeze" circulation set up by the larger heat capacity of the waters
surrounding the island.) The "swallowed" gulps of clear island air get
carried along within the vortices, but these are soon mixed into the
surrounding clouds.
Landsat is unique in its ability to image both the small-scale
eddies that mix clear and cloudy air, down to the 30 meter pixel size of
Landsat, but also having a wide enough field-of-view, 180 km, to reveal the
connection of the turbulence to large-scale flows such as the subtropical
oceanic gyres. Landsat 7, with its new onboard digital recorder, has
extended this capability away from the few Landsat ground stations to remote
areas such as Alejandro Island, and thus is gradually providing a global
dynamic picture of evolving human-scale phenomena.
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Alejandro Selkirk Island

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Clouds are made up of many small droplets of water or ice crystals. Clouds
form around what is called a condensation nucleus, which could be a small
particle of dust, ash, or smoke. Clouds reflect all visible wavelengths of
sunlight, which often makes them appear white. However, clouds sometimes appear
gray or even black, as they do in this image. This is caused by the process of
accumulation, where droplets within the cloud merge with others, forming larger
droplets. The space between droplets then becomes larger, allowing more light to
be absorbed within the cloud, making it appear darker to the naked eye. A cloud
vortex- the circular pattern seen here- is produced by the flow of air in the
atmosphere. Heard Island (visible in the lower right portion of the image) is
located in the Indian Ocean, about two-thirds of the way from Madagascar to
Antarctica. The island is uninhabited by humans, although it is home to many
birds and seals. Heard Island is rugged and mountainous, and is mostly covered
with ice. It is also home to an active volcano, Mawson Peak. The island has been
a territory of Australia since 1947.
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Winds blowing over an obstacle often create a series of vortices downwind
that can reshape any clouds that might be in the way.
These intricate phenomena are popularly known as “cloud streets,” and can
occasionally be observed by astronauts or in satellite images.
The image to the right was taken by the Moderate Resolution Imaging
Spectroradiometer, orbiting on NASA’s Aqua satellite on April 22, 2008.
When the satellite passed over the remote Mexican island of Socorro, located
well to the southwest of Baja California, winds at midday were blowing strongly
from the north-northwest over the island’s rough terrain.
The cloud streets clearly seen in the marine stratocumulus clouds to the
south-southeast were caused by that wind-terrain interaction.
The technical name for the turbulence patterns are Karman vortex streets.
Fluid dynamicist Theodore von Karman was the first to derive the conditions
under which these turbulence patterns occur. Von Karman was a professor of
aeronautics at the California Institute of Technology and one of the principal
founders of NASA’s Jet Propulsion Laboratory.

Heart-shaped clouds float over a Mexican island in a photo taken 200 miles
above Earth.
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The image of Isla Sorocco in the Pacific was shot
from the International Space Station travelling at 17,000 miles an hour in
one of its 15 daily orbits. |
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A vortex
street streams slightly southeast of the
Ilha da Madeira (Madeira Island) in this
true-color Terra MODIS image acquired
December 1, 2002. A vortex street forms
when clouds over the ocean are disturbed
by winds passing over land or other
above-sea-surface obstacles, in this
case the Ilha da Madeira. The
southeastern movement of the low-level
winds caused the clouds to line up in
the same direction, called a street, and
the wind's passage over the islands
caused the swirls, called vortices. The
particular kind of clouds forming the
vortex street is referred to as "closed
cell". These cells, or parcels of air,
often occur in roughly hexagonal arrays
in a layer of air that behaves like a
fluid (as often occurs in the
atmosphere) and begins to convect due to
heating at the base or cooling at the
top. In these closed cell clouds, warm
air is rising at their centers and
sinking around the edges to create this
honeycomb-like pattern.
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Von Karman Gallery:
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Von Karman Vortices over Broutona |
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Cape Verde Islands, Atlantic |

Cape Verde Islands, Atlantic |

Von Karman vortices off Rishiri Island, Japan |

Von Karman vortices off Rishiri Island, Japan |
Other Orographic Waves:
Orographic lift occurs when an air mass is forced from a low elevation to a
higher elevation as it moves over rising terrain. As the air mass gains altitude
it expands and cools adiabatically. This cooler air cannot hold the moisture as
well as warm air can, which effectively raises the relative humidity to 100%,
creating clouds and frequent precipitation.
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This wave cloud pattern formed off the Île Amsterdam in the far southern
Indian Ocean, due to orographic lift of an airmass by the island, producing
alternating bands–(Standing waves), of condensed and invisible humidity downwind
of the island as the moist air moves in vertical waves and the moisture
successively condenses and evaporates.
In mid-December 2005, the diminutive Amsterdam Island made waves—not in
the Indian Ocean where it resides, but in the clouds overhead. Described
casually as wave clouds, these features took on the shape of a giant ship before
blending in with a larger cloud formation to the north and east.
The Moderate Resolution Imaging Spectroradiometer (MODIS) flying
onboard the Terra satellite captured this image on December 19, 2005. The island
itself is almost too small see in this image, but it serves as the starting
point for the clouds that flow toward the northeast in a giant V shape.
Amsterdam Island is a volcanic summit, the northernmost volcano on the Antarctic
tectonic plate.
The volcano’s summit, poking above the ocean
surface, conspired with atmospheric conditions to make these clouds. Pushed by
wind, air ascended one side of this island then descended the other. As air
rises, it cools and expands, and water vapor in the air condenses to form
clouds. As air falls, the clouds evaporate. If the air is uniformly humid, it
will likely form a uniform layer of clouds. If the air is dry, it may produce no
clouds. But if the air contains alternating moist and dry layers, clouds form
only in the moist layers of air. Known as lenticular clouds, they often look like flipped-over
plates. Many of these clouds strung together form larger wave patterns like the
one seen here.
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Large Orographic Waves as seen from the ground
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Also see: Planetary Boundary Layer: Turbulence |