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geostrophic and wind
Geopotential height contours can be used to calculate the geostrophic wind, which is faster where the contours are more closely spaced and tangential to the geopotential height contours.
This Barotropic vorticity equation assumes the atmosphere is nearly barotropic, which means that the direction and speed of the geostrophic wind are independent of height.
In other words, there is no vertical wind shear of the geostrophic wind.
Thermal wind is a meteorological term not referring to an actual wind, but a difference in the geostrophic wind between two pressure levels and, with < math > p_1 < p_0 </ math >; in essence, wind shear.
In a barotropic atmosphere, where temperature is uniform, the geostrophic wind is independent of height.
The name stems from the fact that this wind flows around areas of low ( and high ) temperature in the same manner as the geostrophic wind flows around areas of low ( and high ) pressure.
Over a city or rough terrain, the wind gradient effect could cause a reduction of 40 % to 50 % of the geostrophic wind speed aloft ; while over open water or ice, the reduction may be only 20 % to 30 %.
The shearing of the wind is usually three-dimensional, that is, there is also a change in direction between the ' free ' pressure-driven geostrophic wind and the wind close to the ground.
This is known as a geostrophic wind.
The geostrophic wind ( or ) is the theoretical wind that would result from an exact balance between the Coriolis effect and the pressure gradient force.
The true wind almost always differs from the geostrophic wind due to other forces such as friction from the ground.
Thus, the actual wind would equal the geostrophic wind only if there were no friction and the isobars were perfectly straight.
Just as multiple weather balloons that measure pressure as a function of height in the atmosphere are used to map the atmospheric pressure field and infer the geostrophic wind, measurements of density as a function of depth in the ocean are used to infer geostrophic currents.

geostrophic and is
In low-pressure systems, centrifugal force is negligible and balance is between Coriolis and pressure forces ( called geostrophic balance ).
When the Rossby number is small, then the effects of planetary rotation are large and the net acceleration is comparably small allowing the use of the geostrophic approximation.
This condition is called geostrophic balance.
Despite this, much of the atmosphere outside the tropics is close to geostrophic flow much of the time and it is a valuable first approximation.
The deflection increases until the Coriolis and pressure gradient forces are in geostrophic balance: at this point, the air flow is no longer moving from high to low pressure, but instead moves along an.
Flow of ocean water is also largely geostrophic.
The geostrophic wind neglects frictional effects, which is usually a good approximation for the synoptic scale instantaneous flow in the midlatitude mid-troposphere.
Assuming geostrophic balance, the system is stationary and the first two equations become:
Above the PBL is the " free atmosphere " where the wind is approximately geostrophic ( parallel to the isobars ) while within the PBL the wind is affected by surface drag and turns across the isobars.

geostrophic and parallel
If a component of the geostrophic wind is parallel to the temperature gradient, the thermal wind will cause the geostrophic wind to rotate with height.

geostrophic and constant
Other variants of the equation are possible ; for example, the geostrophic wind vector can be expressed in terms of the gradient of the geopotential height Φ on a surface of constant pressure:
The geostrophic wind is proportional to the slope of geopotential on a surface of constant pressure.
If we differentiate the geostrophic wind, ( where is the Coriolis parameter, is the vertical unit vector, and the subscript " p " on the gradient operator denotes gradient on a constant pressure surface )

geostrophic and pressure
It can be shown that the main terms in horizontal equations are Coriolis force and pressure gradient terms ; therefore, one can use geostrophic approximation.
) The geostrophic balance helps to explain why, in the northern hemisphere, low pressure systems ( or cyclones ) spin counterclockwise and high pressure systems ( or anticyclones ) spin clockwise, and the opposite in the southern hemisphere.
This equatorial Beta plane assumption requires a geostrophic balance between the eastward velocity and the north-south pressure gradient.
In a barotropic atmosphere, one where density is a function only of pressure, the slope of isobaric surfaces is independent of temperature, so geostrophic wind does not increase with height.

geostrophic and at
Satellite altimeters are also used to measure sea surface height anomaly, which permits a calculation of the geostrophic current at the surface.

geostrophic and height
This also causes the magnitude of the geostrophic wind to increase with height.
In ( a ), cold advection is occurring, so the thermal wind causes the geostrophic wind to rotate counterclockwise ( for the northern hemisphere ) with height.
In ( b ), warm advection is occurring, so the geostrophic wind rotates clockwise with height.
If the geostrophic wind blows from cold air to warm air ( cold advection ) the geostrophic wind will turn counterclockwise with height, a phenomenon known as wind backing.
Otherwise, if the geostrophic wind blows from warm air to cold air ( warm advection ) the wind will turn clockwise with height, also known as wind veering.
The isobaric surfaces will also be isothermal surfaces, hence ( from the thermal wind equation ) the geostrophic wind is independent of height.
By combining the gravity data with information about sea surface height gathered by other satellite altimeters, scientists will be able to track the direction and speed of geostrophic ocean currents.

geostrophic and ).
At 6 mbar over 8 miles, the geostrophic wind potential easily exceeded 200 knots ( which roughly translates to about 100 knots in ageostrophic flow over the Earth's rough surface, or 115 mph ).
Early estimates indicated that the current may be 30 % stronger than geostrophic calculations indicated as a result of a significant barotropic flow component ( Hayes and Robe, 1978 ).
) The geostrophic transport was calculated to be just ( based on IIP sections ).
The vertical variation of geostrophic wind in a barotropic atmosphere ( a ) and in a baroclinic atmosphere ( b ).

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