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    Vertical Structure of

    the Atmospheric Boundary Layerin Trade Winds

    Yumin Moon

    MPO 551September 26, 2005

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    Papers to Present

    Riehl, H., Yeh T. C., Malkus J. S., and La Seur,N. E., 1951: The Northeast Trade of the PacificOcean. Quarterly Journal of the RoyalMeteorological Society. 77, 598-626.

    Augstein E., Schmidt, H., and Ostapoff, F., 1974:The Vertical Structure of the Atmospheric

    Planetary Boundary Layer in Undisturbed TradeWinds over the Atlantic Ocean. Boundary LayerMeteorology, 6, 129-150.

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    Riehl 1951

    Analyzed observations inthe Northeast Pacific

    Ocean during the dry

    season (July to October).

    Three weather ships, PearlHarbor, Hickam Field, both

    in Honolulu, HI.

    Hourly surface

    observations, two

    radiosonde observations

    per day.

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    Riehl 1951

    Wind Steadiness

    Air above the

    Inversion Top

    Inversion Layer Cloud Layer

    Subcloud layer

    Vm = mean speed100mV

    VS

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    Riehl 1951

    Vertical Cross-Section of Wind Speed Mean Vertical Distribution

    of Wind Speed

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    Riehl 1951

    Vertical Distribution of Divergence

    dzvs

    dzwz

    zz

    )()(00

    Equation of Continuity,

    assuming steady state

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    Riehl 1951

    Whereas the inversionascends downstream,

    individual columns

    descend, shrink

    vertically and spread

    horizontally. Large

    masses of air, located

    above the inversion at

    32N have become a

    part of the cloud layerwhen they reach

    Honolulu, HI.

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    Riehl 1951

    The air that has beenincorporated in the

    inversion layer

    The air that has been

    incorporated in thecloud layer

    The air that has been

    below the inversion

    throughout the journey

    from 32N.

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    Riehl 1951

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    Riehl 1951

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    Riehl 1951

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    Riehl 1951

    0)()()()( dsPELds

    z

    qA

    zLdsqw

    zLdsqv

    sL

    Equation of Continuity for Latent Heat in a layer of unit thickness and cross-section

    and extending over the distance ds

    VerticalHorizontal Turbulent

    Exchange

    Source/Sink

    Steady-state is assumed.

    Lateral mixing is neglected compared to vertical mixing.

    The vertical coordinate is attached to the trajectory of the mean

    motion

    w vanishes everywhere thus the second term (vertical) isdropped out, except at the top where the boundary is a horizontal

    surface.

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    Riehl 1951

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    Riehl 1951 Rise of the inversion is

    accomplished through the pickup oflatent heat by the trade in thecourse of its passage over thetropical ocean.

    The bases of cumulus clouds are

    nearly uniform height, but the topsare very irregular.

    The tops of the cumulus cloudsbreak off and evaporate quickly.

    Moisture is introduced into thelower portions of the inversion

    layer. Then the air in the inversion layer

    becomes gradually similar to thecharacteristics of the cloud layer.

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    Riehl 1951

    fsp

    dtdv

    1

    fs

    pvvdiv

    t

    v

    )(

    )(

    dsdzfs

    pdsdzvvdivvdsdz

    t

    )(

    z

    vz

    f

    0)()()(

    dsz

    v

    z

    vdzppvwdsvwdsvvdzvvdz btdu

    btdu

    Inflow term

    upstream,

    downstream

    Inflow term

    top, bottom

    Pressure

    Term

    Turbulent term

    top, bottom

    Equation of momentum

    Integrating over a volume bounded by ds, dz,

    and of unit thickness in the direction normal to s

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    Riehl 1951

    Layer

    (mb)

    Inflow

    Upstream

    Outflow

    Downstream

    Net Inflow

    Top

    Outflow

    Bottom

    Net Pressure

    Term

    Turbulent

    Term Bottom

    Turbulent

    Term Top

    1020-

    960

    -0.3 -0.2 -0.1 0 0 0 -2.7 4.4 -1.6

    960-

    880

    -0.4 -0.4 0 -0.1 0 -0.1 -2.6 1.6 1.1

    880-

    800

    -0.4 -0.4 0 -0.1 -0.1 0 -1.2 -1.1 2.3

    800-

    720

    -0.4 -0.3 -0.1 -0.1 -0.1 0 0 -2.3 2.4

    In units of 10^8 G CM SEC^-2

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    Augstein 1974

    Analyzed observationscollected during the AtlanticExpedition 1965 Sep 12 toOct 11 and the Atlantic

    Tradewind Experiment(ATEX) 1969 Feb 6-21.

    Three ships, Planet at thenortheast, Discoverer atthe northwest, and Meteor

    at the south. 8 radiosondes observations

    per day, radar windmeasurements.

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    Augstein 1974

    Surface Layer adiabatic temperature gradient, decreaseof specific humidity with height, slight statical instability.

    Mixed Layer adiabatic temperature lapse rate, nearly

    constant vertical specific humidity.

    Transition Layer nearly isothermal temperaturedistribution, strong upward decrease of moisture.

    Cloud Layer temperature gradient slightly higher than the

    moist adiabatic lapse rate, upward weak decrease of

    specific humidity, conditionally unstable. Trade Inversion increasing temperature, steep decrease

    of moisture.

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    Augstein 1974

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    Augstein 1974

    Increasing cumulusconvection causes anincrease of downwardflux of inversion air intothe cloud layer, thus

    pushing the inversionupward. This process iscombined with downwardheat flux which effects adiabatic warming of the

    cloud layer.

    Strong convective activitydestroys the tradeinversion; the organizedcloud circulation thentransports air parcels with

    relatively low potentialtemperature upward andwith high potentialtemperature downward.This process results in a

    diabatic warming of thelower part of the cloudregion and in a diabaticcooling of the upper part

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    Augstein 1974

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    Augstein 1974

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    Augstein 1974