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Heat fluxes in the atmosphere

Climate_Change_Attribution.

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Слайд 1Heat fluxes in the atmosphere
Heat to the atmosphere comes mainly

from the underlying surface. Processes responsible for the heat transfer

are:


Convective flux



Eddy flux






L.w. radiation

L.w. radiation


Evaporation

Heat fluxes in the atmosphereHeat to the atmosphere comes mainly from the underlying surface. Processes responsible for

Слайд 2
Climate_Change_Attribution.

Climate_Change_Attribution.

Слайд 3Heat flux notion
The quantity being transferred by the air parcels in

a unit of time through a unit of area facing

the transfer direction is called HEAT FLUX.

There are convective heat flux and eddy heat flux.
Convective heat flux, in turn, is divided into advective one (horizontal heat transfer) and real convective (vertical heat transfer).
In meteorology, the horizontal heat flux is called advective flux (Qa), and the vertical one is called convective flux (Qc).

Heat flux notionThe quantity		being transferred by the air parcels in a unit of time through a unit

Слайд 4Convective and advective heat fluxes

Any air particle contains some amount

of heat. When moving, it carries this heat along. By

this way the heat is distributed in the atmosphere. However, that is not the only way for the heat distribution. Not less effective way is EDDY MIXING (EXCHANGE)

Incoming heat flux is positive, outgoing flux is negative.

Convective and advective heat fluxesAny air particle contains some amount of heat. When moving, it carries this

Слайд 5Eddy heat flux
Eddy heat flux is caused by wind velocity

pulsation
General conditions for eddy exchange
Permanency
Conservation
Passivity
Quantity does not satisfy

this conditions. Air temperature changes as the air ascending or descending. However, potential temperature satisfy.
Eddy heat fluxEddy heat flux is caused by wind velocity pulsationGeneral conditions for eddy exchange Permanency Conservation

Слайд 6
The strongest flux
The weakest flux
Along with vertical eddy flux there

are horizontal fluxes.
At the same level

The strongest fluxThe weakest fluxAlong with vertical eddy flux there are horizontal fluxes.At the same level

Слайд 7Eddy heat exchange differs from that of other substances. Coefficients

A and K (for eddy heat exchange) are called coefficient

of eddy heat conductivity and temperature conductivity respectively.

As the stratification is stable ( ) eddy heat flux directed downward

As the stratification is unstable ( ) eddy heat flux directed upward

Heat influx (outflow) notion


Heat influx = incoming heat flux – outgoing heat flux

Heat outflow

Heat influx

Eddy heat exchange differs from that of other substances. Coefficients A and K (for eddy heat exchange)

Слайд 8
Individual and local (partial) derivatives
When an air parcel moves, its

state parameters are not necessarily constant; they are function of

coordinates and time.


For the moving parcel, the coordinates, in turn, are functions of time.

Individual derivative

Local derivative

Convective derivative

Advective derivative


Individual and local (partial) derivativesWhen an air parcel moves, its state parameters are not necessarily constant; they

Слайд 9Energy equation
Temperature variation is of prime interest for meteorologists. It

depends on heat influx. It can be determined on the

base of the energy conservation equation.

Heat influx:



Heat influx unit

Mass of the volume is

Energy equationTemperature variation is of prime interest for meteorologists. It depends on heat influx. It can be

Слайд 10The same reasoning can be applied for horizontal heat fluxes
Eddy

heat influx
Since the horizontal exchange is much smaller the vertical

one, for practical purposes this formula can be simplified
The same reasoning can be applied for horizontal heat fluxesEddy heat influxSince the horizontal exchange is much

Слайд 11





All members of this formula have the same order of

magnitude
Substituting
and
into energy equation, we obtain
See the next slide

All members of this formula have the same order of magnitudeSubstitutingandinto energy equation, we obtainSee the next

Слайд 12After substituting into the basic equation
and solution with respect

to , we obtain
This quantity is

small and can be neglected
After substituting into the basic equation and solution with respect to	    , we obtain

Слайд 13Air temperature variation due to advection
Air temperature variation due to

vertical motion
Air temperature variation due to eddy mixing
Air temperature variation

due to radiation and water phase transfer
Air temperature variation due to advectionAir temperature variation due to vertical motionAir temperature variation due to eddy

Слайд 141. Non-periodical T variations
Above boundary layer (in the free atm.)
Small

time intervals (about 24 h)
? no heat influx ? adiab.

process
Energy equation:

1. Non-periodical T variationsAbove boundary layer (in the free atm.)Small time intervals (about 24 h)? no heat

Слайд 152. Periodical T variations
Within the boundary layer (diurnal T variations)
long

time intervals
? only vertical eddy heat influx
Energy equation (

or equation of the conductivity of the atm.):

2. Periodical T variationsWithin the boundary layer (diurnal T variations)long time intervals? only vertical eddy heat influx

Слайд 163. Air mass moving over non-homogeneous surface
Advection and eddy exchange

are important
Taking steady state process
The process is called
air

mass transformation
Energy equation

3. Air mass moving over non-homogeneous surfaceAdvection and eddy exchange are importantTaking steady state process The process

Слайд 174. Annual T variation
Most important role to
Local, advective and convective


derivatives ? 0 over a long period of time
Energy equation

4. Annual T variationMost important role toLocal, advective and convective 	derivatives ? 0 over a long period

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