Q vector Flashcards
What will QG Theory do for us?
–It reveals how …………………………………….. and ………………………………… constrain and simplify atmospheric motions, but in a realistic manner
hydrostatic balance and geostrophic balance
What will QG Theory do for us?
It provides a simple framework within which we can understand and diagnose the ……………………………………
evolution of three-dimensional synoptic-scale weather systems
What will QG Theory do for us?
It predicts the evolution of synoptic-scale systems by
diagnosing changes in the local geopotential height field from the observed distributions of vorticity advection and temperature advection.
What will QG Theory do for us?
It estimates synoptic-scale ………………………………………………………….
vertical motions from the observed distribution of vorticity and temperature advection.
What will QG Theory do for us?
It helps us to understand how the ………………………………………………….and the ………………………………………………………………….interact to create ………………………………..that result in realistic synoptic scale weather patterns
mass fields (via horizontal temperature advection)
momentum fields (via horizontal vorticity advection)
vertical circulations
What will QG Theory do for us?
It offers physical insight into the forcing of ………………………………………………. and ……………………………………………………….associated with mid-latitude cyclones
vertical motion and the cloud/precipitation patterns
Rotational momentum:
Rotation around an axis (less effort)
Momentum equations and linear momentum
momentum equations: du/dt, dv/dt. dw/dt
linear momentum: ΣF = dp/dt = m* d/dt = ma
From our mathematical derivation of QG theory, QG theory has the following assumptions
- Geostrophic balance (i.e. we neglect all local changes in the ageostrophic wind) >> No difference between geostrophic & wind (actual)
- Hydrostatic balance >> No vertical motion (parcel of air at rest)
- Horizontal advection by the geostrophic winds only (i.e. we neglect the advection of the ageostrophic momentum by the geostrophic wind and the vertical advection of momentum)
- No friction or orographic effects
- No diabatic heating / cooling
- No spatial or temporal changes in static stability >> consider midlatitude weather is stable
meaning of adiabatic
No change of heat between air parcel and surrounding air “when air parcel is rising it will cool due to expansion/increase of volume”
(Source of heat must exist)
QG Height Tendency Equation
The following equation represents
QG height tendency equation
Term A corresponds to
local horizontal advection of geostrophic vorticity
Term B correspond to
change in temperature advection with height
QG omega equation
The following equation represents
QG omega equation