Meteorology for Airborne Scientists Henry Fuelberg Department of Meteorology Florida State University
Atmospheric Structure and Thermodynamics Some Basics
Basic Atmospheric Variables • Pressure (p) • Temperature (T in oC or K) • Density (ρ) ( or specific volume (α = 1/density)) (kg m-3)
• Water vapor content • Three dimensional wind
Atmospheric Pressure Changes with Altitude Pressure = Force/Area 1 Pascal = 1 Newton m2
1 millibar (mb) = (hPa)
1 hectoPascal
Mean sea level pressure = 1013.25 mb
Thermal Structure of the Atmosphere Lapse rate = ∂T/∂z Troposphere has + lapse Stratosphere first isothermal, then – lapse Troposphere has
Height of the Tropopause Varies with Latitude
Thermodynamics Parcel = imaginary volume of air to study, like a balloon, separate from environment Atmosphere acts as an ideal gas—a mixture Equation of state (ideal gas law) Press = density x gas constant x temp
First Law of Thermodynamics • dq = cv dT + pdα heat change = internal energy change + work done to expand or contract vol. • dq= cp dT – α dp heat change = enthalpy change + …
Dry Adiabatic Process • • • • • • • • •
Consider an unsaturated parcel dq = 0 0 = cp dT – α dp Parcels still can change temperature due to expansion and contraction Example—parcel expands, expends energy, T becomes cooler Make substitutions and solve for dT/dz dT/dz = -g/cp = 9.8 oC/km = Γd (dry adiabatic lapse rate) Unsat. parcels always follow Γd Away from clouds and radiative processes, parcels ~ adiabatic for several days
Rising air
Potential Temperature (θ) Parcel at T and p Θis temp. parcel would have if taken dry adiabatically to p = 1000 mb If p = 1000 mb, Θ=T Θ = T (1000 mb/ p) R/cp R/cp = 0.286 Parcels conserve Θduring ascent, descent, etc. as long as conditions are adiabatic T is not conserved, it changes at Γd
Water Vapor • Vapor pressure = partial pressure of vapor (mb) • Mixing ratio = mass vapor/mass dry air (g/kg) • Concept of saturation • Dew point temperature = temp to which air must be cooled to become saturated (oC) • Relative humidity = mixing ratio / sat.
Saturated Adiabatic Process • Parcel is saturated • Lift parcel, condensation occurs, latent heat released, dq ≠ 0 • dq= cp dT – α dp • Let dq = latent heat release • Perform some magic • Γs = Γd [ ≤ 1] • Therefore……….. Γs ≤ Γd not a constant • Γs ≈ 5-6 oC/km
Radiosondes
Hydrostatic Stability Displace parcel upward (could go downward) Will displacement be Suppressed = Stable Layered clouds, steady precipitation Enhanced = Unstable Towering clouds, showers or
Absolute Stability Environmental Lapse Rate less than Wet Adiabatic Rate
Absolute Instability Environmental Lapse Rate greater than Dry Adiabatic Rate
Conditional Instability Environmental Lapse Rate between the Dry and Wet Adiabatic Rates
What Causes Wind to Blow ?? It is acted on by forces —most of which we can’t see
Surface Map Isobars = Lines of constant pressure
Straight Isobars
Flow Around Circular Low
Flow Around Circular High
Upper Level Charts Pressure is Vertical Coordinate
500 mb Chart
• • • • • • •
Planetary Boundary Layer Lowest layer of atmos—directly influenced (PBL)
by the surface PBL vs. Free Atmosphere What happens in PBL? Air is heated/cooled from below—radiation Inversions (stable) at night—suppress mixing Big lapse rate during day—less stable-lots of mixing Mechanical Turbulence—roughness (day or night)
• Wind Speed goes to zero at surface (no slip) • Speed increases with height according to Ekman Theory—direction also changes • The more mixing • the more θ is constant with height • the more mixing ratio constant with height • Height of PBL deep during day, shallow at night • Depth determined by
Transporting Air From Surface to Higher Levels Winds are stronger there Wind direction often changes with height
Jet Streams
Middle Latitude Wave Cyclones
Major Airstreams in Midlat Cyclone
Smaller Scale Circulations Also Provide Vertical Transport
Sea/Land Breezes
Mountain/Valley Breezes
Santa Ana Winds & Fires
Wires Fanned by Santa Ana Winds
Thunderstorms-Major Vertical Transporters
Lightning Creates NOx
FOG
Radiation Fog
Advection Fog
Yesterday’s Fog (4:46 PM)
This morning
Neat Picture Contrails Cover 0.1% of Earth’s
Eastern France
Trajectories Backward in time—where did air come from? What path did it take? Forward in time—where is air going to? What path will it take? Several possible procedures Isobaric—air keeps same pressure-move parcel by horizontal winds
• Kinematic method—move parcels by three-dimensional winds—most popular today Procedure for Forward Trajectories Start with 4-D grid of 3-D wind components—hope data every few hours Move parcel one time step by
• Take winds at new location and time and move parcel another time step • Repeat the process until you reach the ending time that you specify • Limit is usually 5-10 days • After that uncertainties are too great
Examples from ARCTAS-2008 10 days back from selected flight legs
Heading to N CA
Heading to S CA
Particle Dispersion Models •Establish locations of emissions and rates of emission •Release particles to simulate emission rate •Particles have specified mass and are released at specified rate •Three-dimensional winds move the particles •Can then watch the transport of the
WRF Nested Grid 45 km, 15 km, 5 km
Sprin g
Summer
Sources of Real Time Information Satellite, Radar, Surface Analyses, http://www.rap.ucar.edu/weat her/
Surface Plot 7 PM
Edward AFB Radar 8 PM
Enhanced IR Image 8 PM
Surface Plot 11 AM
Visible Images 10 AM
Edwards AFB Monday 5 AM
500 mb Analysis 5 AM Monday
Forecast Products NOAA National Center for Environmental Prediction http://www.nco.ncep.noaa.gov We look at 54 h progs valid 11 AM Wednesday
H
SFC Forecast
Clouds below 6000 ft
850 mb Forecast
700 mb Forecast
500 mb Forecast
500 mb
Zoom to CA Area
300 mb Forecast
Your Local NWS Office http://www.srh.noaa.gov
Other Interesting Sites Storm Prediction Center http://www.spc.noaa.gov National Hurricane Center http://www.nhc.noaa.gov