CH2007D
PROCESS INSTRUMENTATION
          Lecture – 15
  Temperature Measurement – 2
         Characteristics of Industrial Mercury
                   Thermometers
•   Accuracy
    – The accuracy of the industrial thermometer, when properly installed
      and used, is about ±1 percent of span.
    – The thermometer bulb should be installed in such a way that the
      speed of flow of the surrounding medium past the bulb is sufficient to
      provide rapid heat transfer.
    – It should be immersed to a sufficient length that the heat loss along
      the thermal well to the surroundings is a minimum; otherwise, what is
      known as "immersion error" will result.
    – The temperature of the scale and surroundings should be relatively
      near ordinary room temperature, so that errors due to expansion or
      contraction of thermometer bore and calibrated scale are small.
•   Range
    –   –38°F to 950°F
        Characteristics of Industrial Mercury
                  Thermometers
•   Response
    – The speed of response of the industrial mercury thermometer depends on:
       • the characteristics of the fluid medium in which it is inserted
       • the size of the thermometer
       • the size of the thermal well.
    – The space between the bulb and well may be filled with a conducting liquid
      such as mercury or oil, in order to increase the rate of heat transfer.
    – The time constant will range from 0.01 min to several minutes.
•   Applications
    – open tanks containing liquids
    – cooking kettles
    – certain molten-metal baths
    – steam lines
    – pipe lines for fluid flow
    – air ducts
                   Bimetallic Thermometer
•   Commonly used wherever the industrial mercury thermometer is employed.
•   A bimetal is composed of two strips of metal welded together, each strip made
    from a metal having a different coefficient of thermal expansion.
•   For a bimetal in the form of a straight cantilever beam, temperature changes
    cause the free end to deflect, and this deflection can be related quantitatively to
    the temperature change.
•   The deflection of the free tip is directly proportional to temperature.
•   The deflection with temperature is nearly linear, depending mainly on the
    coefficients of linear thermal expansion.
•   Invar, an iron-nickel alloy containing about 36 percent nickel, is universally
    employed as the low-expansion metal.
•   The temperature coefficient of expansion is about
     1
       that of ordinary metals.
    20
•   As the high-expansion metal, brass is used at lower
    temperatures and nickel alloys at higher temperat-
    ures.
    Temperature Measurement Using Bimetallic
                 Thermometer
•   When the strip is subjected to a temperature higher than the
    bonding temperature, it will bend in one direction; when it is
    subjected to a temperature lower than the bonding temperature, it
    will bend in the other direction.
    Temperature Measurement Using Bimetallic
                 Thermometer
•   When the thicknesses of low-expansion material and high-expansion
    material are same in the strip, 𝑚 = 1.
•   When Young’s moduli of the materials are approximately equal, 𝑛 =
    1.
                                                               2𝑡      1
                                                  𝑇 = 𝑇0 +
                                                           3(𝛼2 − 𝛼1 ) 𝑟