Lecture 05 Buoyancy

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    Buoyancy The buoyant force is equal to the

    displaces.

    1/21/2010 BIOT 405 Fluid mechanics 1

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    Buo anc The buoyant force is essentially

    the pressure at the top of the object,,

    the pressure at the bottom, which.

    Since the pressure at the bottom is

    ,submerged in a fluid necessarily feels

    1/21/2010 BIOT 405 Fluid mechanics 2

    .

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    Buoyancy

    O course, o jects a so ee adownward force due to gravity

    The difference between the

    ravitational force and buo antforce on a submerged objectdetermines whether that object will

    sink, or rise to the surface.

    1/21/2010 BIOT 405 Fluid mechanics 3

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    Buoyancy

    I t e weig t is greater t an t ebuoyant force, the object sinks.

    If the liquid is denser, the buoyant

    force is reater and the ob ect floats. Steel sinks in water, but floats in

    ercur . Buoyancy is the ability to float.

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    Archimedes' Principle:

    An o ject is uoye up wit aforce equal to the weight of theiqui it isp aces. T is is nown as

    Archimedes' Principle

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    Archimedes' Principle:

    e can ca cu ate t e orce exerteby static fluids on floating &immerse o ies y integrating t e

    vertical component of the pressureorce over t e entire sur ace o

    the body.

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    Buoyancy

    Ptop

    l

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    Archimedes' Principle:

    T e vertica component pressureforce integrated around entiresur ace o a oat or su merge

    body is called buoyant force.

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    Archimedes' Principle:

    But

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    Archimedes' Principle:

    >>

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    Archimedes' Principle:

    i.e., t e weig t o t e oatingbody is exactly equal to the weighto t e isp ace . T us, or oating

    bodies Archimedes principle.

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    Archimedes' Principle:

    T us or oating o ies Arc ime esprinciple is often stated that

    A floating body displaces a volume of

    fluid whose wei ht is exactl e ual toits own weight or

    Buo ant orce is e ual to the wei htof the fluid displaced.

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    In e uations:buoyant forceb ,

    Fb = mfluiddisplacedg.

    u , mfluiddisplaced= en.fluid vo .object

    mfluiddis laced=fluidVob ect.Thus, we get:

    =

    ->

    u o ec . Note: This only works if the object is

    1/21/2010 BIOT 405 Fluid mechanics 13