Observed Structure of the Atmospheric Boundary Layer

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Many thanks to: Nolan Atkins, Chris Bretherton, Robin Hogan

Review of last lecture: Surface water balance

dS/dt

Precipitation (P)

Evaportranspiration (E=Eb+Ei+Es+TR)

Runoff (Rs)

Irrigation (I)

Infiltration (Rg)

The changing rate of soil moisture S

dS/dt = P - E - Rs - Rg + I

(PDSI, desertification)

Vertical Structure of the Atmosphere

• Definition of the boundary layer: "that part of the troposphere that is directly influenced by the presence of the earth's surface and responds to surface forcings with a time scale of about an hour or less.”

• Scale: variable, typically between 100 m - 3 km deep

Difference between boundary layer and free atmosphere

The boundary layer is:• More turbulent• With stronger friction• With more rapid dispersion of pollutants• With non-geostrophic winds while the free

atmosphere is often with geostrophic winds

Vertical structure of the boundary layer

From bottom up:• Interfacial layer (0-1 cm): molecular transport, no turbulence• Surface layer (0-100 m): strong gradient, very vigorous turbulence• Mixed layer (100 m - 1 km): well-mixed, vigorous turbulence• Entrainment layer: inversion, intermittent turbulence

Turbulence inside the boundary layer

Definition of Turbulence: The apparent chaotic nature of many flows, which is manifested in the form of irregular, almost random fluctuations in velocity, temperature and scalar concentrations around their mean values in time and space.

Generation of turbulence in the boundary layer: Hydrodynamic instability

“Hydrodynamically unstable” means that any small perturbation would grow rapidly to large perturbation

• Shear instability: caused by change of mean wind in space (i.e. mechanical forcing)

• Convective instability: caused by change of mean temperature in the vertical direction (i.e. thermal forcing)

Shear instabilityShear: Change of wind in space

QuickTime™ and aTIFF (Uncompressed) decompressor

are needed to see this picture.

Example: Kelvin-Helmholtz instabilityShear instability within a fluid or between two fluids with different density

Lab experiment

Real world (K-H clouds)

http://www.youtube.com/watch?v=wdZ-P6V-4Zs

http://www.youtube.com/watch?v=UbXotbAKNMo

Convective instability• Static stability – refers to atmosphere’s susceptibility to being displaced• Stability related to buoyancy function of temperature• The rate of cooling of a parcel relative to its surrounds determines its ‘stability’ of a parcel

• For dry air (with no clouds), an easy way to determine its stability is to look at the vertical profile of virtual potential temperature v = (1 + 0.61 r ) Where = T (P0/P)0.286 is the potential temperature r is the water vapor mixing ratio

Three cases: (1) Stable (sub-adiabatic): v increases w/ height(2) Neutral (adiabatic): v keeps constant w/ height(3) Unstable (super-adiabatic): v decreases w/ height

Stable or sub-adiabatic

Neutral or adiabatic

Unstable or super-adiabatic

Boundary layer stability conditions - Richardson number

• The Richardson number is a convenient means of categorizing atmospheric stability in the boundary layer:

Where g is acceleration due to gravity, is mean temperature, U is mean wind speed, z is height, and Ri is a dimensionless number.

Ri >0 stable =0 neutral <0 unstable

Lewis Fry Richardson (11 October 1881 - 30 September 1953) was an English mathematician, physicist, meteorologist, psychologist and pacifist who pioneered modern mathematical techniques of weather forecasting, and the application of similar techniques to studying the causes of wars and how to prevent them.

Boundary layer convection

• http://www.youtube.com/watch?v=CBEAEeY6_qw

PBL depth

Forcings generating temperature gradience and wind shear, which affect

the boundary layer depth

• Heat flux at the surface and at the top of the boundary layer

• Frictional drag at the surface and at the top of the boundary layer

Boundary layer depth:Effects of ocean and land

• Over the oceans: varies more slowly in space and time because sea surface temperature varies slowly in space and time

• Over the land: varies more rapidly in space and time because surface conditions vary more rapidly in space (topography, land cover) and time (diurnal variation, seasonal variation)

Boundary layer depth:Effect of highs and lows

Near a region of high pressure:• Over both land and oceans,

the boundary layer tends to be shallower near the center of high pressure regions. This is due to the associated subsidence and divergence.

• Boundary layer depth increases on the periphery of the high where the subsidence is weaker.

Near a region of low pressure:• The rising motion associated

with the low transports boundary layer air up into the free troposphere.

• Hence, it is often difficult to find the top of the boundary layer in this region. Cloud base is often used at the top of the boundary layer.

PBL depth

Summary• Vertical structure of the atmosphere and

definition of the boundary layer• Vertical structure of the boundary layer • Definition of turbulence and forcings

generating turbulence• Static stability and vertical profile of

virtual potential temperature: 3 cases. Richardson number

• Boundary layer over ocean