Notes
Slide Show
Outline
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Lecture 4: Pressure and Wind
  •  Pressure, Measurement, Distribution
  •  Forces Affect Wind


  •  Geostrophic Balance
  •  Winds in Upper Atmosphere
  •  Near-Surface Winds


  •  Hydrostatic Balance (why the sky isn’t falling!)
  •  Thermal Wind Balance
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"Wind is moving air"
  • Wind is moving air.
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Force that Determines Wind
  •  Pressure gradient force
  •  Coriolis force
  •  Friction
  •  Centrifugal force
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Thermal Energy to Kinetic Energy
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Global Atmospheric Circulation Model
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Pressure Gradient Force
  •  PG = (pressure difference) / distance
  •  Pressure gradient force force goes from high pressure to low pressure.
  •  Closely spaced isobars on a weather map indicate steep pressure gradient.
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Thermal Energy to Kinetic Energy
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Balance of Force in the Horizontal
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Coriolis Force
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Coriolis Force
  •  Coriolis force causes the wind to deflect to the right of its intent path in the Northern Hemisphere and to the left in the Southern Hemisphere.
  • The magnitude of Coriolis force depends on (1) the rotation of the Earth, (2) the speed of the moving object,  and (3) its latitudinal location.
  • The stronger the speed (such as wind speed), the stronger the Coriolis force.
  • The higher the latitude, the stronger the Coriolis force.
  • The Corioils force is zero at the equator.
  • Coriolis force is one major factor that determine weather pattern.
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Another Kind of Coriolis Force
  • The Coriolis force also causes the east-west wind to deflect to the right of its intent path in the Northern Hemisphere and to the left in the Southern Hemisphere.
  • The deflections are caused by the centrifugal force associated with the east-west motion, and , therefore, related to rotation of the Earth, and are also considered as a kind of Coriolis force.
  • Although the description of the deflection effect for north-south and east-west motions are very different, their mathematical expressions are the same.
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Coriolis Force Change with latitudes
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How Does Coriolis Force Affect Wind Motion?
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Geostrophic Balance
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Scales of Motions in the Atmosphere
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Frictional Effect on Surface Flow
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Surface Friction
  •  Friction Force =  c * V
  •       c = friction coefficient
  •      V = wind speed
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Surface Geostrophic Flow
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Centrifugal Force
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Gradient Wind Balance
  •  The three-way balance of horizontal pressure gradient, Coriolis force, and the centrifugal force is call the gradient wind balance.
  •  The gradient wind is an excellent approximation to the actual wind observed above the Earth’s surface, especially at  the middle latitudes.
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Super- and Sub-Geostrophic Wind
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Pressure Gradients
  • Pressure Gradients
    • The pressure gradient force initiates movement of atmospheric mass, wind, from areas of higher to areas of lower pressure
  • Horizontal Pressure Gradients
    • Typically only small gradients exist across large spatial scales (1mb/100km)
    • Smaller scale weather features, such as hurricanes and tornadoes, display larger pressure gradients across small areas (1mb/6km)
  • Vertical Pressure Gradients
    • Average vertical pressure gradients are usually greater than extreme examples of horizontal pressure gradients as pressure always decreases with altitude (1mb/10m)
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"Why didn’t the strong vertical..."
  •  Why didn’t the strong vertical pressure gradient push the air rise?
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Hydrostatic Balance in the Vertical
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What Does Hydrostatic Balance Tell Us?
  •  The hydrostatic equation tells us how quickly air pressure drops wit height.
  • čThe rate at which air pressure decreases with height (DP/ Dz) is equal to the air density (r) times the acceleration of gravity (g)
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The Ideal Gas Law
  • An equation of state describes the relationship among pressure, temperature, and density of any material.
  • All gases are found to follow approximately the same equation of state, which is referred to as the “ideal gas law (equation)”.
  • Atmospheric gases, whether considered individually or as a mixture, obey the following ideal gas equation:
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Hydrostatic Balance and Atmospheric Vertical Structure
  • Since P= rRT (the ideal gas law), the hydrostatic equation becomes:
  •            dP =  -P/RT x gdz
  • č   dP/P =  -g/RT x dz
  •    P =  Ps exp(-gz/RT)
  •    P = Ps exp(-z/H)
  • The atmospheric pressure decreases exponentially with height
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Temperature and Pressure
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Thermal Wind Relation
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Thermal Wind Equation
  •               ¶U/¶z  µ  ¶T/¶y


  •  The vertical shear of zonal wind is related to the latitudinal gradient of temperature.
  •  Jet streams usually are formed above baroclinic zone (such as the polar front).
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Subtropical and Polar Jet Streams
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Jet Streams Near the Western US
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Scales of Motions in the Atmosphere
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Cold and Warm Fronts
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Tropical Hurricane
  • The hurricane is characterized by a strong thermally direct circulation with the rising of warm air near the center of the storm and the sinking of cooler air outside.
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Naming Convention
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Ocean Temperature And Hurricane
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Monsoon: Sea/Land-Related Circulation
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How Many Monsoons Worldwide?
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Sea/Land Breeze
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