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ME 220 Measurements & Sensors Mechanical Measurements Applications. Chapters # 8, 9,10, 11 ( Figliola) and 18 (Beckwith). CH. # 8 Temperature Measurements. Thermometer. Thermometry based on thermal expansion Liquid-in-glass thermometers (accuracy from ±0.2 to ±2°C). Bimetallic Thermometers.
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ME 220 Measurements & SensorsMechanical Measurements Applications Chapters # 8, 9,10, 11 ( Figliola) and 18 (Beckwith)
CH. # 8 Temperature Measurements Thermometer Thermometry based on thermal expansion Liquid-in-glass thermometers (accuracy from ±0.2 to ±2°C)
Bimetallic Thermometers If you take two metals with different thermal expansion coefficients and bond them together, they will bend in one direction
Thermistors Usually made of a semiconductor and have Much larger dR/dT (more sensitive) than RTD and has Fast Response
Thermoelectric Effects Seebeck effect: Generates voltages across two dissimilar materials when a temperature difference is present. Peltier effect: Moves heat through dissimilar materials when current is applied.
Thermocouples Thermocouples measure the difference in temperature between two points. One of those points at a known temperature.
THERMOCOUPLE TIME CONSTANT • The conservation of energy: m cp dT / dt = h A (To – T) m : mass of thermocouple junction, Cp: specific heat of thermocouple junction h : heat transfer coefficient , A : surface area of thermocouple T : junction temperature , To : environs temperature θ =T – To / Ti - To Ti = initial measurement junction temperature, then the solution is θ = e (-t / τ ) The time constant for this process is τ = m cp /h A
Error Sources in Temperature Measurements Conduction: Your probe can conduct heat to/from the environment to/from your desired measurement location
Radiative Temperature Measurements (Pyrometry) Temperatures greater than 500ºC s = 5.67•10-8 W/m2K4
CH. # 9 Pressure and Velocity Measurements Dynamic Pressure = Total Pressure - Static Pressure Use of Manometers
CH. # 10 Flow Measurements Turbine
Strain Gauges The resistance across that conductor is Where r = conductor of resistivity If you strain this conductor axially, its length will increase while its cross sectional area will decrease. Taking the total differential of R,
Gage factor For most strain gauges, n = 0.3. If the resistivity is not a function of strain, then F only depends on poisson’s ratio, and F ~ 1.6.
Strain Gauge F and R are supplied by the manufacturer, and we measure ∆R.
Strain Gage [Gage Factor = (∆R/R)/(∆L/L)& Young’s Modulus = (P/A) / (∆L/L) ]
Wheatstone Bridge make R2 = R4 = R
Multiple Gauge Bridge Most strain gauge measurement systems allow us to make 1, 2, 3 or all 4 legs of the bridge strain gauges. Eo Say that unstrained, all of these have the same value. If they are then strained, the resultant change is Eo is
Multiple Gauges • All gauges have the same nominal resistance (generally true) • All gauges have matched gauge factors Eo
Torque & Power Measurements Torque T = FR Power P = wT
ACOUSTICS • Acoustics is the study of Sound. • Sound is caused by variations in Pressure transmitted through air or other materials. • The pressure, and the resulting sound, can vary in both Amplitude and Frequency. • Humans can detect sound over a wide range of frequencies and amplitudes.
What is Sound? • Sound is a propagating disturbance in a fluid or in a solid. The disturbance travels as a longitudinal wave. • Airborne sound Sound in air is called airborne sound generated by a vibrating surface or a turbulent fluid stream. • Structure borne sound Sound in solids is generally called structure borne sound. • Sound: is measured by a microphone and has Amplitude and Frequency
SOUND WAVESrapid pressure variation cycles of compressions and rarefactions
SOUND WAVES • Sound energy is transmitted through air as a pressure wave. • Frequency : The frequency of a sound (cycles / sec.) hertz (Hz). f = 1/T (Hz) The range for human hearing is from 20 to 20.000 Hz. • Wavelength :The distance between analogous points of two successive waves. λ = c / f where c = speed of sound (m/s)f = frequency (Hz) Frequency (Hz) 63 125 250 500 1K 2K 4K 8K Wavelength (m) 5,46 2,75 1,38 0,69 0,34 0,17 0,085 0,043
Speed of Sound and Wavelength The speed of sound in air = 344 m/s fn (Temp) The speed of sound in water = 1000 m/s The speed of sound in solid = 3000 m/s