Page 410 - Handbook of Energy Engineering Calculations
P. 410

FIGURE 3 Correction factors for LMTD when the heater flow path

                     differs from the counterflow. (Power.)



               3. Compute the theoretical LMTD
               Use  the  relation  LMTD  =  (G  –  L)/ln  (G/L),  where  the  symbols  for
               counterflow heat exchange are G = T  – t ; L = T  – t ; ln = logarithm to the
                                                                                 2
                                                             2
                                                                            1
                                                                  1
               base e. All temperatures in this equation are expressed in °F. Thus, G = 250 –
               100 = 150°F (83.3°C); L = 300 – 230 = 70°F (38.9°C). Then LMTD = (150 –
               70)/ln (150/70) = 105°F (58.3°C).


               4. Compute the actual LMTD for this exchanger

               The  actual  LMTD  for  this  or  any  other  heat  exchanger  is  LMTD            actual   =  F
               (LMTD     computed )=  0.9(105)  =  94.5°F  (52.5°C).  Use  the  actual  LMTD  to

               compute the required exchanger heat-transfer area.


               Related  Calculations.  Once  the  corrected  LMTD  is  known,  compute  the
               required heat-exchanger size in the manner shown in the previous calculation
               procedure. The method given here is valid for both two-and four-pass shell-
   405   406   407   408   409   410   411   412   413   414   415