Page 425 - Handbook of Energy Engineering Calculations
P. 425

humidifying, plastics heating, pipe heating, etc.
                  For pipe heating, a tubular heating element can be fastened to the bottom
               of the pipe and run parallel with it. For large-wattage applications, the heater
               can  be  spiraled  around  the  pipe.  For  temperatures  below  165°F  (73.9°C),
               heating cable can be used. Electric heating is often used in place of steam

               tracing of outdoor pipes.
                  The procedure presented above is the work of General Electric Company.


               HEAT-TRANSFER  COEFFICIENT  DETERMINATION  FOR

               BOILER ECONOMIZER



                            2
                                       2
               A  4530-ft   (421-m )  heating  surface  counterflow  economizer  is  used  in
               conjunction  with  a  150,000-lb/h  (68,040-kg/h)  boiler.  The  inlet  and  outlet
               water temperatures are 210°F (99°C) and 310°F (154°C). The inlet and outlet
               gas  temperatures  are  640°F  (338°C)  and  375°F  (191°C).  Find  the  overall
                                                                            2
                                                            2
                                                                                                  2
               heat-transfer coefficient in Btu/(h · ft  · °F) [W/(m  · °C)] [kJ/(h · m  · °C)].
               Calculation Procedure:


               1. Determine the enthalpy of water at the inlet and outlet temperatures
               From  Table  1,  Saturation:  Temperatures,  of  the  steam  Tables  mentioned
               under Related Calculations of this procedure, for water at inlet temperature, t              1

               =  210°F  (99°C),  the  enthalpy,  h   =  178.14  Btu/lb  (414  kJ/kg),  and  at  the
                                                        1
               outlet  temperature,  t   =  310°F  (154°C),  the  enthalpy,  h   =  279.81  Btu/lb         m
                                         2
                                                                                     2
               (651 kJ/kg).

               2. Compute the logarithmic mean temperature difference between the gas

                  and water
               As shown in Fig. 8, the temperature difference of the gas entering and the
               water  leaving,Δt   =  t   –  t   =  640  –  310  =  330°F  (166°C)  and  for  the  gas
                                          3
                                               2
                                    a
               leaving and the water entering, Δt  = t  – t  = 375 – 210 = 165°F (74°C).
                                                                      1
                                                          b
                                                                4
               Then,  the  logarithmic  mean  temperature  difference,Δt   =  (Δt   –Δt )/[2.3  ×
                                                                                  m
                                                                                            a
                                                                                                  b
               log  (Δt  –Δt )] = (330 – 165)/[2.3 × log  (330/165)] = 238°F (115°C).
                                                                 10
                                b
                   10
                          a
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