Hidrolika I (IL-2101) Slide 2

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    INTRODUCTION TOFLUID MECHANICS

    Benno RahardyanMarisa HandajaniHaryo Satrio Tomo

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    Fluids Properties Fluids vs. solids Density Compresibilty

    Viscosity Surface Tension Pressure

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    Motivasi

    Pola, Perilaku, Interaksi?

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    Definition of a Fluid

    A fluid is a substance that flows under the action of shearingforces. If a fluid is at rest, we know that the forces on it are in

    balance.

    A gas is a fluid that is easily compressed. It fills any vessel inwhich it is contained.

    A liquid is a fluid which is hard to compress. A given mass ofliquid will occupy a fixed volume, irrespective of the size ofthe container.

    A free surface is formed as a boundary between a liquid and agas above it.

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    Shear : A force acting in a direction parallel to a surface or to aplanar cross section of a body.

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    Density

    The density of a fluid is defined as its mass per unitvolume. It is denoted by the Greek symbol, .

    =V m3 kgm -3

    If the density is constant (most liquids), the flow is

    incompressible .If the density varies significantly (eg some gasflows), the flow is compressible .

    (Although gases are easy to compress, the flow may be treated as

    incompressible if there are no large pressure fluctuations)

    water = 998 kgm-3

    air = 1.2kgm -3

    kgm

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    Exercise 1 The specific weight of water at ordinary pressure and

    temperature is 9.81 kN/m3. The specific gravity of mercuryis 13.56. Compute the density of water and specific weightand density of mercury

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    Compressibility

    Compressibility :change in volume dueto change in pressure

    For liquid is a functionof P, T

    Liquid compressibility

    is inverselyproportional to itsvolume modulus ofelasticity

    dpd d

    dp E

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    Kompresibilitas

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    Kompresibilitas

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    Kompresibilitas

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    Kompresibilitas Gas IdealE = np

    Proses isotermal n = 1 E = p Proses isentropik n = k E = kp

    Note: Gas ideal : gas yang memiliki panas spesifik yang konstan (Cp dan Cv) dan

    mengikuti aturan:P/ = P = RT

    =g = gP/RT R = 287 N.m/(kg.K) = 287 m 2/s 2.K

    Gas real (non gas ideal): Panas spesifik bervariasi dalam perbedaan temperatur, sehingga:

    P/ = P = zRTRo = zRM

    z= faktor kemampuamampatan yang tergantung pada tekanan dan temperatur.

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    Fluida Real

    Memiliki gaya tangensial/geser pada saat ada gerakan relatifterhadap bidang FRIKSI

    Gaya berlawanan dengan gerakan partikel

    Gaya geser inilah yang menjadi prinsip sifat fluida :

    viskositas/kekentalan

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    Punya tegangan geser tertentu untuk dapat digerakan

    berubah sejalan dengan laju deformasi

    viskositas tidak berubah dengan laju deformasi

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    Viskositas

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    Viskositas

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    Viskositas

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    Viskositas

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    Pressure

    Pressure is the force per unit area, where the force is perpendicular to the area.

    p= A m2

    Nm -2

    (Pa)

    N F

    This is the Absolute pressure , the pressure compared toa vacuum.

    pa= 105

    Nm-2

    1psi = 6895Pa

    The pressure measured in your tyres is the gauge pressure, p-p a.

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    Measuring pressure (1)Manometers

    h

    p1 p2=p a

    liquiddensity

    x y

    z

    p1 = p x

    px = p y

    pz= p 2 = p a

    (negligible pressurechange in a gas)

    (since they are atthe same height)

    py - p z = gh

    p1 - p a = gh

    So a manometer measures gauge pressure .

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    Tegangan Permukaan

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    Metode Pengukuran

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    Metode Pengukuran

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    Metode Pengukuran