Pressure measurement.pptx

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    MALAVIYA NATIONAL INSTITUTE

    OF TECHNOLOGY

    PRESSURE MEASUREMENT

    Submitted to: Submitted by:

    Dr. Kailash Singh Shivangi Bansal 2013UCH1100Associate Professor Nimish Agarwal 2013UCH1212

    Himanshu Sharma 2013UCH1091

    Divij Chopra 2013UCH1238

    Tarushi Parashar 2013UCH1460

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    Pressure is the ratio of force to

    the area over which that force is

    distributed.

    Pressure is force per unit area applied

    in a direction perpendicular to the

    surface of an object.

    Introduction

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    1 Pa Pascal = 1 N/m2 (The SI unit)

    1 psi = 1 lb/in2(English unit) = 6,891

    Pa

    1 Bar = 105N/m2= 100 kPa 1 atm

    1 Torr = 1 mm Hg = 133.3 Pa 1 kPa

    1 atm = 101.3 kPa = 760 mm Hg =29.92 in Hg = 14.70 psi

    Pressure Units and their Conversion

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    How is pressure generated?

    Collision of molecule with wall

    Momentum is mass x velocity

    Change of momentum is double

    Collision is isothermal = perfectly elastic

    Sum collisions over area to get force

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    Absolute Pressure- The actual pressure at a givenposition is called the absolute pressure, and it is measured

    relative to absolute vacuum (i.e., absolute zero pressure).

    Gauge Pressure- Gauge pressure is the pressurerelative to the atmospheric pressure. In other words, how

    much above or below is the pressure with respect to the

    atmospheric pressure.

    Types of Pressure

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    Vacuum Pressure- Pressures below atmospheric pressureare called vacuum pressures and are measured by vacuum gages

    that indicate the difference between the atmospheric pressure

    and the absolute pressure.

    Atmospheric Pressure- The atmospheric pressure is thepressure that an area experiences due to the force exerted by the

    atmosphere.

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    Pgauge= PabsPatm Gauge pressure

    Pvac= PatmPabs Vacuum pressure

    Pabs= Patm+ Pgauge Absolute pressure

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    Moderate Pressure Sensors

    Manometer

    Bourdon Tube gauge

    Bellow gaugeDiaphragm gauge

    High Pressure Sensors

    High wire pressure transducer

    Low Pressure Sensors

    McLeod Gauge Ultra Low Pressure Sensors

    Knudsen gauge

    Ionisation gauge

    Classification of Measuring Devices

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    MODERATE PRESSURE

    MEASUREMENT

    There are two types of devices for moderate

    pressure measurement-

    1. Manometersfor measuring static pressure

    2. Elastic elementsfor measuring static and dynamic

    pressure.

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    Manometers-

    A 'manometer'is an instrument that uses a column of liquid

    to measure pressure, although the term is often used

    nowadays to mean any pressure measuring instrument.

    Important and desirable properties of the manometricfluids are:

    High chemical stability

    Low viscosity

    Low capillary constantLow coefficient of thermal expansion

    Low volatility

    Low vapour pressure

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    U- Tube

    Manometer: A manometer is comprised

    of a bulb containing a gasand a U-shaped tube.

    The U-shaped tube is

    partially filled with mercury.

    The weight of the mercury

    puts pressure on the gas.

    If the U-tube is OPEN there

    is also air pressure acting on

    the gas.

    The gas molecules put

    pressure on the mercury.

    PHg

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    CONSTRUCTIONOF A U-TUBEMANOMETER

    This manometer consists of a

    U shaped tube in which the

    manometeric liquid is filled.

    The manometer is used tomeasure the pressure which is

    unknown by the balancing

    gravity force and acceleration

    due to gravity, g = 9.81 m/sec2

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    Inclined Tube Manometer

    Well Type Manometer

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    Elastic Transducers-

    The main types of Elastic Transducers are-

    Bourdon tubesdiaphragmscapsulesbellowsCorrugated diaphragmsHelical tube

    All except diaphragms provide a fairly large displacementthat is useful in mechanical gauges and for electricalsensors that require a significant movement.

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    Types of Measuring Devices-

    Bourdon Pressure Gauge The Bourdon pressure

    gauge uses the principlethat a flattened tube tendsto straighten or regain its

    circular form in cross-section when pressurized.The strain of the materialof the tube is magnified byforming the tube into a Cshape or even a helix, suchthat the entire tube tendsto straighten out or uncoil,elastically, as it is

    pressurized.

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    LVDT TypePressure Transducer

    Current is induced in a circuit when there is change in

    magnetic flux. The change in flux can be obtained by

    moving a high permeability magnetic core relative to

    any circuit.

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    Piezo-Electric

    Transducer

    This sensor consists of a piezoelectric crystal (made

    from quartz) which functions as a force-sensitive

    voltage source where the piezoelectric will be in

    between two plates.

    Pressure exerted on the crystal surface is

    proportionate to the voltage produced by the crystal.

    This sensor does not require any voltage supply.

    This sensor is suitable for fast changing pressure

    measurement.

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    Capacitance Type Pressure Transducer

    Change in distance between two plates of a capacitor results in

    change in capacitance. Change in pressure results in deflection in diaphragm and hence

    change in capacitance. this change is converted into electrical signal

    and used in CTPT.

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    R1and R3measures radial strain near the outer radius of the

    diaphragm while R2and R4are bonded near the centre and

    measures tangential strain.r- tangential stress

    t - radial stress

    t- diaphragm thickness

    v-Poissons ratioP-pressure on the diaphragm

    Diaphragm Type Strain GaugePressure Transducer

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    p-pressure on the diaphragmE- Youngs Modulus of the diaphragm material

    v- Poissons ratio

    R- radius of diaphragm

    t- thickness of diaphragm

    From strength and elasticity of

    materials, it is seen that deflection

    y at a radius r of a circulardiaphragm clamped at its outer

    periphery is given by-

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    High Pressure Measurement

    High wire pressure transducer

    For pressures above 1000 atm, techniques based on the

    electrical resistance change of a manganin or a gold

    chrome wire with hydrostatic pressure, due to bulk

    compression effect is used.

    R- Resistance of wire

    E- Youngs Modulus of wire

    p- Pressure

    - Density

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    Low PressureMeasurement

    A McLeod gaugeis a scientific instrument

    used to measure very low pressures, down

    to 10-6Torr.

    It isolates a sample of gas and compresses

    it in a modified mercury manometer until

    the pressure is a few mm Hg.

    Pi = ghA/(V-Ah)

    V- Volume of capillary tube

    A- Area of cross section of

    capillary

    McLeod gauge

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    IONISATION GAUGE

    The most convenientmethod of

    measuring pressures below 0.1

    Pa is to ionise the gas molecules,

    collect the ions and measure theion current which is included in

    ionization gauge.

    Useful range: roughly 10-8-0.1 Pa

    P = Ip/S Ig

    PPressure

    IgGrid Current

    IpPlate Current

    SSensitivity (Chemical

    Dependant)

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    KNUDSEN GAUGE

    An instrument for measuring very

    low pressures, which measures the

    force of a gas on a cold plate

    beside which there is an

    electrically heated plate.

    It is an absolute gauge for

    measurement of pressure in range

    10-8to 10-3 torr.

    Pi = K F /((Ts /Tm)-1)Ts-Absolute temperature of stationary plate

    Tm- Absolute temperature of movable plate

    K-Elastic constant of gauge

    F- Force

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    REFERENCES

    1. Nakra, B.C. and Chaudhary, K.K., Instrumentation,

    Measurement and Analysis, 2nd ed., Tata McGraw

    Hill, New Delhi, 2004.

    2. Eckman, D. P., Industrial Instrumentation, Wiley

    Eastern , 1978

    3. http://en.wikipedia.org/wiki/Pressure_measurement

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