Lecture 1-12 Flashcards
History of Synoptic-scale circulations
- Admiral Fitz-Roy in British Navy. obtained a good set of surface observations from ships and coastal stations in and around British isles. He proposed a model which accurately depicted the horizontal scale of mid-latitude cyclones.
- Bjerknes and Solberg presented a cyclone model based on observations from Scandinavia. Their main contribution was their observation that cyclones grow from the energy contained within the polar front and proposed a reasonable model for the distribution of cloud and precipitation with respect to the cyclone.
- Satellite and radar systems made structures that weren’t previously observed became evident.
History of Planetary-scale circulations
- Establishment of upper-air observing networks in the 1940s and 1950s made the systematic study of general circulation of the atmosphere possible.
- Plots o horizontal wind and pressure revealed that flow in the middle and upper troposphere outside of the tropics takes the form of waves of various sizes.
- Longwaves such as these are said these are said to exist on planetary scale.
History of Mesoscale Circulations
-Radar showed that synoptic scale systems had smaller scale features embedded within them.
-subdivisions are often based on our understanding of the governing equations of motion of the atmosphere and the fact that certain terms in these equations are more important at certain scales than they are at others.
History of small-scale circulations
-At smaller scales in the atmosphere, the effect of friction on the flow becomes important.
History of Physical Basis of Scale Separation
-Is quantitative evidence from radiosondes and the analysed the KE of the east-west component of the wind.
-Spectrum shows that there is energy at all scales of motion, there are strong peaks at frequencies ranging from a few days (the synoptic scale) to a few weeks (the planetary scale). There are also peaks at one year (the annual cycle), one day (the diurnal tide), and a smaller peak at a few minutes which may correspond to gravity waves.
-3 important notes: 1. KE never completely vanishes since KE is converted from one scale to another. 2. Energy involved in the larger scales is much bigger in the free atmosphere than near the ground (frictional and turbulence effects are more prominent near the ground). 3. There is no peak in the energy spectrum at the mesoscale (“spectral gap”).
Scale Interactions
-Constant cascade of energy from the planetary scale circulation driven by differential solar heating to the micro-scale at which the energy is dissipated by friction into heat.
-Energy is transported from smaller scales to larger scales. planetary scale mid-latitude westerly current at upper levels involves the synoptic-scale disturbances.
-lifespans are strongly correlated to their horizontal length scales.
Implications of Scale Analysis
-For large-scale and synoptic-scale flows, the length and time scales are suuch that only terms that needed to be retained are those that involve the pressure gradient and the Coriolis force (quasi-geostrophic flow). The fluid is hydrostatic and incompressible and the flow is almost inviscid (frictionless), especially over time scales of about a day.
-small-scale motions, the quasi-geostrphic assumption doesn’t apply.
Advection
-Advection: Basically means winds are able to move various properties of the atmosphere around with it. (i.e moves around temperature).
The surface pressure decreases by 3 hPa. per 180km in the eastward direction. A ship steaming eastward at 10km/hr measures a pressure fall of 1 hPa per 3 hrs. What is the pressure change on an island that the ship is passing.
asked to find dP/dT. DP/Dt is the change following the motion of the ship is -1hPa per 3 hrs. The zonal velocity of ship is given and it is moving u=10km/hr eastward and v and w are zero in this case. Thus, we have:
dP/dt=DP/Dt-(udP/dx)
dP/dt=-1hPa/3hrs-(10km/hr)(-3hPa/180km)
dP/dt=-1hPa/6hrs
POSITIVE ADVECTION IS ALWAYS…
Defined with a negative sign in front of it
Circle:
is determined by the intersection of a sphere and a flat surface
Great circle:
Great circle: if a plane intersects the sphere through the centre, the circle is a great circle
The shortest distance between two points on a sphere…
determined by a great circle through these two points
line of latitude:
The intersection of a plane perpendicular to the polar axis and the Earth
longitude line:
is defined as a great circle which intersects the poles.
-reference longitude: is defined by the longitude line (meridian) which passes through Greenwich, England..