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HEAT TRANSFER, INSULATION, AND FREEZE PROTECTION

                      5.18                       CHAPTER FIVE

                      provide criteria for the specific conditions that may be present in the design of a specific
                      project. It is for these circumstances that the formulas will be used. Before proceeding with
                      actual calculations, the following paragraphs will describe several typical factors and basic
                      formulas from which the design criteria are derived.
                        First is the surface film factor (SFF). A film of air exists on the surface of any solid in
                      direct contact with air. This surface film has a definite resistance to the passage of heat.
                      Table 5.5 gives the surface resistance (film factor) for a variety of conditions. In order to
                      simplify the figures, the pipe is assumed to be at the same temperature as its contents.
                        When calculating the heat flux for piping (as compared to flat surfaces), the fact that
                      the inner surface of the insulation has a different area than its outer surface must be taken
                      into account. Since the measurement is the amount of heat loss per square foot of exposed
                      surface, a means must be found to determine the actual area that should be used. This is
                      done by using an equivalent insulation thickness (ET), which is equal to the logarithmic
                      mean of the inner and outer surfaces (see Table 5.6). Enter this table with the pipe size and
                      thickness of insulation intended to be used.
                        Also included in Table 5.6 is the actual square foot area (A) along the outside of the
                      selected insulation per linear foot of pipe length. This will be necessary to find the actual
                      heat loss for the installation. Simply multiply the calculated heat loss by A to obtain the
                      heat loss per foot of pipe.
                        The variables below will be used in the following series of formulas:
                         HF = heat flux in Btu/h/ft 2
                         T  = temperature of pipe
                           1
                         T  = ambient temperature
                           2
                         ET = equivalent thickness of insulation (Table 5.6)
                         AT = actual thickness of insulation
                         ST = surface temperature at insulation exterior
                          k = insulation k factor (manufacturer’s rating)
                         SFR = surface film factor, or resistance (Table 5.5)
                         HL = heat loss per linear foot of pipe
                                                  2
                         A = area of insulation exterior, ft  (Table 5.6)
                                   TABLE 5.5  Surface Film Factor

                                   Condition                     Resistance R
                                   Still air (0 mph)
                                     Heat flow up                  0.61
                                     Heat flow down                0.92
                                     Heat flow horizontal          0.68
                                   Moving air
                                     7.5 mph (12 km/h) (summer)    0.25
                                     15.0 mph (24 km/h) (winter)   0.17
                                   Round pipe                      0.65
                                   Note: Surface resistances decrease as air velocities increase. All val-
                                   ues are taken from ASHRAE Handbook of Fundamentals. Some of
                                   these examples consider only the insulation surface-to-ambient film
                                   factor. It is assumed that the inside surface area is at the same tem-
                                   perature as the contents (air, gas, or liquid), such as in a duct, pipe,
                                   or tank. Generally, the inside air film factor is used only for cases
                                   involving occupied spaces, 60 to 90°F (15 to 32°C).
                                   Courtesy: Owens/Corning.



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