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166                                                      Chapter 4


                       1
           U 0=  ————————————                                          (4.15)
                   Do  1   1
               R fi + ——  +—  +Rf 0



                Individual  heat-transfer  coefficients  and  the  fouling  resistance  or  fouling
           factor,  are listed
           in Table  4.3.  The  heat  transfer  coefficients  in  Table  4.3  are  divided  according to
           whether the fluid  is inorganic or organic, a gas or a liquid, and whether it is heated
           or  cooled,  with  or  without  a  phase  change.  The  inorganic  fluids  are  water  and
           ammonia, whereas  the  organic  fluids  are  divided  into three  categories,  light,  me-
           dium,  or heavy,  depending  on  their  viscosity.  If  the  fluid  is  a  gas,  pressure  will
           also  affect  the transfer  properties.  The  footnotes  in Table 4.3  define  a  light,  me-
           dium, and heavy organic fluid.
                For boiling liquids, the heat flux  cannot be too large or a vapor blanket will
           form on the heat transfer  surface,  effectively  insulating the surface  and thus reduc-
           ing the heat-transfer  coefficient.  Gases or vapors have a much lower heat-transfer
           coefficient  than a boiling  liquid.  If heat  is supplied by a condensing vapor or hot
           liquid,  a  considerable  reduction  in  heat  transfer  will  occur  if  a  vapor  blanket
           forms.  If the  fluid  is being heated  electrically, however, heat transfer  will remain
           essentially the  same,  and the  heater  surface  temperature  will  rise  until  the  heater
           "burns  out".  To  avoid  this problem, Walas  [3] recommends  designing a heat  ex-
           changer for a boiling heat flux  of  less than 1.3xl05 W/m2  (4.12xl04 Btu/h-ft2).




           Terminal Temperatures of the Fluid Streams


           Before  calculating  the  logarithmic-mean  temperature  difference,  determine  the
           terminal temperature of each fluid  stream. Three of the four  terminal temperatures
           are usually specified,  and the fourth  can be  found by optimizing the fixed  and  op-
           erating costs for the heat exchanger.  If we consider cooling a process stream, then
           the stream temperature at the inlet and outlet of the heat exchanger will usually be
           known.  The  stream leaves  one process unit  and  enters the heat  exchanger.  Then,
           the  stream is cooled to a specified  temperature,  depending on the requirements of
           the next process unit.  Also, if the coolant is water, which is generally the case, its
           temperature  varies  throughout  the  year.  Take  the  worst  case,  which  is  approxi-
           mately  30 °C  (86  °F) in the New York area. The  next  step is to calculate  the  exit
           water temperature, which is discussed in Example 4.1.








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