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8.2.  MEAN TEMPERATURE  DIFFERENCE  177



















                  1.0   2.0   3.0   4.0   5.0                                                                 0
                         NTV


                                                                1.0
            1.0
                                                                0.9
            0.9
          k                                                   kl
                                                               $0.8
          m  -                                                I
          5 0.8                                               -
                                                               "
                                                               m
          0
          c                                                    c  0.7
           0.7
                                                              ?!  B
          u.                                                  0  0.6
           0.6
           0.5                                                 0.5
             0   0.1   0.2   0.3   0.4   0.5   0.6   0.7   0.8   0.9   1.0   0   0.1   02   0.3   0.4   0.5   0.6   0.7   0.8   0.9   1.0
                                   K                                                   K
                                   (9)
           1.0                                                  1.0

           0.9                                                  0.9
                                                              k
          2 0.8                                                s- 0.8
          m  -
          c                                                   Q
                                                              a
          c                                                    r
          0 0.7                                               2 0.7
          e                                                    'y
          b
          u                                                   B
           0.6                                                  0.6
           0.5                                                  0.5
                                                                  I  t  '   I   I  1  1  1  1  u   It   I   III   8   I
             0   0.1   0.2   0.3   0.4   0.5   0.6   0.7   0.8   0.9   1.0   0   0.1   0.2   0.3   0.4   0.5   0.6   0.7   0.8   0.9   1.0
                                   K                                                   K
                                   (i)
          Figure 8.5--(continued)
          expressed in terms of  these functions of the terminal temperatures:   This  method  is  especially  easy  to  apply  when  the  terminal
                                                              temperatures  are all known,  because then  F  and  (AT),ogmean are
              pk3-          actual heat transfer      (8.27)   immediately determinable for a particular flow pattern.  Then in the
                 7'; -   maximum possible heat itransfer '    heat transfer equation
                 =
                     U
              R  T-T,                                            Q = UAF(AT),                             (8.29)
                 Tb-q   m'c"                          (8.28)
                                                              any one of  the quantities Q, U, or A may be found in terms of  the
          Some analytical expressions for F are shown in Table 8.3, and more   others.  A  solution  by  trial  is  needed  when  one  of  the  terminal
          graphical solutioas in Figure 8.5.                  temperatures  is  unknown,  as  shown  in  Example  8.4. The  next
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