Wind Effect on Structural 1

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    2. Wind characteristics

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    Nature of wind from meteorology

    Meteorology: the science of the atmosphere and its phenomena;

    the study of weather and climate

    Micrometeorology: the study of detailed structure of atmospheric flow near

    the ground, ex: the mean wind speed profile, the

    atmospheric turbulence, etc. (some studies in

    micrometeorology can be directly used by structural engineers)

    Climatology: the prediction of wind conditions at a given geographical

    location, ex: extreme wind climatology

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    Temperature of atmosphere

    The earths heat balance

    [Source: http://clivebest.com/blog/?p=4432]

    Sun6000K

    original energy source

    short wave

    atmosphere istransparent

    Earth

    long wave: absorbed by atmosphere

    Earth 250K

    The earth is the direct energy source of wind

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    A B

    1

    2

    A B

    1

    2

    A B

    heating

    1

    2

    A B

    heating

    1

    2

    A B

    heating

    1

    2

    A B

    heating

    1

    2

    A B

    heating

    1

    2

    A B

    heating

    1

    2

    A B

    heating

    1

    2

    A B

    heating

    Tube 1 & 2 are closed

    tA: raised

    tB

    : maintained

    Fluid in A expands

    Tube 1 is closed, tube 2 is opened no flow

    Humphreys experiment

    Tube 1 is opened: flow A B

    & tube 2 is opened: flow B A

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    Simple model of atmospheric circulation

    AirHeating

    Solar / terrestialWind = motion of air with respect to the earths surface,

    fundamentally caused by variable solar heating of the earths atmosphere

    [Source: http://apollo.lsc.vsc.edu/classes/met130/notes/chapter10/single_cell.html]

    A = column of air above equator

    B = column of air above pole

    Cold

    Hot

    Equator

    PoleGeneral circulation

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    Atmospheric hydrodynamics

    The motion of an elementary mass of air is determined by the Newtons second

    law:

    The forces F include:

    (1) The horizontal pressure gradient

    (2) The Coriolis force

    (3) The centrifugal force

    (4) The friction force

    aF m

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    1. The horizontal pressure gradient:

    Vertical: main pressure, decrease with height

    Changes in pressure gradient

    Horizontal: changes are small wrt vertical

    Wind direction: high pressure low pressure (isobar)

    2. The Coriolis force (apparent force)

    v : the velocity vector of the mass

    : the angular velocity vector of the earth

    Pressure gradient & Coriolis

    vF mc 2

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    3. The centrifugal force:

    r : radius of curvature

    4. The friction force

    The surface of the earth retards the

    flow of air by the effects of friction

    Boundary layer of the atmostphere

    r

    vmF

    2

    Centrifugal & Friction

    v

    r

    F

    d: boundary layer depth

    free atmosphere (frictionless wind)

    vgr : gradient wind speed

    earth surface

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    Horse

    latitude

    Tricellular model of atmospheric circulation

    Considering: earth rotation/friction, seasons, geographic Tricellular meridional circulations

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    Secondary circulations

    Traveling High and Low

    pressure areas,

    by heating or cooling of

    the lower atmosphere

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    Wind directions

    Mean pressure systems and representative wind vectors at the surface for (a) January and (b) July.

    The red dashed lines represent the equatorial trough (and monsoon trough over Asia).[Source: http://www.goes-r.gov]

    The motion of air

    relative to the earth

    surface is determined,

    in unaccelerated flow,

    by the balance among

    these forces

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    Moonsoons & Hurricanes

    Tropical cyclones with surface wind speed >120km/h

    Diameter is in the order of 100km

    Depth is in the order of 10km

    Hurricane Gladys as seen by the Apollo crew

    [Source: http://www.astronautix.com/flights/apollo7.htm]

    Moonsoons: seasonal reversing winds associated

    with asymmetric heating of land and sea

    (summer: ocean to land, with heavy rains)

    [Source: http://www.taringa.net]

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    Tall convective clouds,

    produced by upward motion of warm, moist air

    Local wind

    Tornado

    [Source: http://commons.wikimedia.org/wiki/File:F5_tornado_Elie_Manitoba_2007.jpg]

    Dry, warm, down-slope wind / leeward of a mountain range

    Foehn wind

    [Source: http://fineartamerica.com/featured/foehn-wind-artwork-gary-hincks.html]

    Most powerful wind

    A vortex of air: ~300m diameter, 30-100 km/h

    Thunderstorm [Source: Wind effects on structures, Simiu, p.29]

    Small-scale / negligible influence on general circulation

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    The Beaufort scale

    Degree Wind speed

    (m/s)

    Description of wind Wind effects

    0 0 0.5 Calm

    1 0.5 1.7 Light airs Smoke rises nearly vertically

    2 1.7 3.3 Light breeze Wind felt on face

    3 3.3 5.2 Gentle breeze Leaves move

    4 5.2 7.4 Moderate breeze Small branches move, wind extends flags

    5 7.4 9.8 Fresh breeze Large branches also move

    6 9.8 12.4 Strong breeze Saplings move

    7 12.4 15.2 Light gale Strong branches bend, wind is heard in buildings

    8 15.2 18.2 Moderate gale Impeded walking, branches break, tree-trunks sway

    9 18.2 21.5 Fresh gale Wind displaces lighter objects, strong branches and

    saplings break, damage to chimneys

    10 21.5 25.1 Strong gale Trees are uprooted, telegraph poles break

    11 25.1 29 Destructive gale Severe damage

    12 29 and over Hurricane Disastrous damage