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Von Karman Votex Wake Clouds!

Kármán Vortex Street & Wake Vortices

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.


Von Karman Examples:

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.

 


Von Karman examples viewed from below

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.

   

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.


Alejandro Selkirk Island

   

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.

   
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.


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.

   

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.

 


Von Karman Gallery:


Von Karman Vortices over Broutona
 

Cape Verde Islands, Atlantic

Cape Verde Islands, Atlantic
Von Karman vortices off Rishiri Island, Japan
Von Karman vortices off Rishiri Island, Japan
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.

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.

 

 


Large Orographic Waves as seen from the ground


Also see:  Planetary Boundary Layer: Turbulence

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