Page 113 - Design and Operation of Heat Exchangers and their Networks
P. 113

Steady-state characteristics of heat exchangers  101






                 Example BA1,6 2              2
                                   B       A
                                  1         1
                                                   ð
                                           ð
                                         ν ∗ a A , b A Þν ∗ a B , b B Þ
                    ϕ 6¼ 1 : ε 1 ¼ 1                                 (3.181)
                                                ν ∗ a B , b B Þ ν ∗ a A , b A Þ
                                                  ð
                                                           ð
                                       ðÞKb B
                                 1 b B Kb A  ðÞ
                                                    ðÞ
                                                            ðÞ
                                                  Kb A  ϕKb B
                                                 ν ∗ 2 ð a, bÞ
                                ϕ ¼ 1 : ε 1 ¼ 1    2                 (3.182)
                                             1 abK bðÞν ∗ a, bð  Þ
                    Since ϕ¼1.5, we have
                                       0:7593 0:7051
                   ε 1 ¼ 1                                        ¼ 0:3768
                                                  0:7051 0:7593
                         1 1:2 0:6883 0:5823
                                                0:6883 1:5 0:5823
                 Example BA2,5 2              2
                                   B       A
                                  1         1
                                               ð
                                              ν a A , b A Þ
                                  ε 1 ¼ 1
                                             ½
                                                      ðފ
                                         1+ hb A , a A , ϕKb B
                                                                     (3.183)
                                          0:7579
                                    ¼ 1           ¼ 0:3758
                                         1+ 0:2141


                 Example BA2,6 2              2
                                   B       A
                                  1         1

                                                   ð
                                          ν a A , b A Þν ∗ a B , b B Þ
                                           ð
                              ε 1 ¼ 1
                                               ½
                                                          ðފ
                                      ð
                                    ν ∗ a B , b B Þ hb A , a A ,  ϕKb B
                                                                     (3.184)
                                      0:7579 0:7051
                                ¼ 1                  ¼ 0:3774
                                            ð
                                    0:7051  0:1532Þ
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