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Boundary Layer Physics 14 May 2007. Claudia.Kubatzki@awi.de Literature: R.B. Stull (1988, new edition 1999): An Introduction into Boundary Layer Meteorology . Kluwer Academic Publishers, Dordrecht, Netherlands. Atmospheric Layers. z [m]. ~10 4. Free Atmosphere. ~10 3. Ekman Layer.

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boundary layer physics 14 may 2007

Boundary Layer Physics14 May 2007

Claudia.Kubatzki@awi.de

Literature:

R.B. Stull (1988, new edition 1999):

An Introduction into Boundary Layer Meteorology.

Kluwer Academic Publishers, Dordrecht, Netherlands.

slide2

Atmospheric Layers

z [m]

~104

Free Atmosphere

~103

Ekman Layer

Troposphere

~102

Planetary

Boundary

Layer

Surface Layer

Prandtl

Layer

~10-2

Microlayer

0

slide3

Dynamical Equationscartesian system

Momentum budget

For a fluid, Isaac Newton's second law „mass times acceleration equals the sum of forces“ is better stated per unit volume with density replacing mass. In the absence of rotation, the resulting equations are called the Navier-Stokes equations.

real forces and apparent forces

(Dynamics I)

slide4

Eddy mixing

Stull, 1988

slide6

Typical values

for the

roughness length

(table see exercises)

Stull, 1988

slide8

ZRTOT(i,n,ntp)=ZRSUR(ntp)+ZRORO(i,n)

endif

C...2) Drag coefficient for neutral stratification

if (ntp.eq.1) then

C...2.1) Drag coefficent over ocean

CDRGN(i,n,1)=1.5E-3

else

C...2.2) Drag coefficient over sea ice and land

CDRGN(i,n,ntp)=(CKARM/LOG(ZSURF/ZRTOT(i,n,ntp)))**2

endif

CDM(i,n,ntp)=CDRGN(i,n,ntp)

CHM(i,n,ntp)=1.3*CDRGN(i,n,ntp)

C...3) Effective wind speed for transpiration

if (ntp.ge.3. and .ntp.le.4) then

x

x

x

(CLIMBER-2a)

slide10

C...3) Sensible heat flux

CH =CHM(i,n,ntp)

FH1=CH*USUR(i,n)*RA*CAV*(T1-T_air)

if (FH1.lt.0.) FH1=0.1*FH1

C...4) Evaporation

c...4.1) Evaporation from snow

rp_S=EXP(-ZTS(i,n)/HATM)

T_SNOW=AMIN1(TSUR(i,n,ntp),T0)

FSUBL=1.E-3*USUR(i,n)*RA*(FQSATI(T_SNOW)-rp_S*QAM(i,n))

EVPSNST(i,n,ntp)=AMAX1(0.,FSUBL)

c...4.2) evaporation from soil

if (ntp.ge.3.and.ntp.le.5) then

QSUR=FQSAT(T1)

EVP1=0.1*

> CH*USUR(i,n)*RA*(QSUR-QAMSUR(i,n,ntp))*RWSOIL(i,n,ntp,1)**2

EVP1=AMAX1(EVP1,0.)

endif

x

(CLIMBER-2a)