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Guo, Boyun / Computer Assited Petroleum Production Engg 0750682701_chap11 Final Proof page 155  3.1.2007 8:54pm Compositor Name: SJoearun




                                                                              TRANSPORTATION SYSTEMS  11/155
                                      29
                                      28
                                      27
                                      26
                                    Temperature ( C)  24  s = 1.0 in
                                      25


                                      23
                                                 s = 2.0 in
                                      22         s = 1.5 in
                                                 s = 2.5 in
                                      21
                                      20
                                      19
                                        0        2,000     4,000     6,000     8,000    10,000
                                                             Distance (M)
                          Figure 11.14 Calculated steady-flow temperature profiles with polyethylene layers of various thicknesses.

                                      30

                                      25


                                    Temperature ( C)  20  0 minute

                                      15
                                                10 minutes
                                                20 minutes
                                                30 minutes
                                      10
                                                Steady flow
                                       5

                                       0
                                        0       2,000     4,000      6,000     8,000    10,000
                                                             Distance (M)
                               Figure 11.15 Calculated temperature profiles with a polypropylene layer of 0.0254 M (1 in.).

                                     29
                                     28
                                     27
                                     26
                                    Temperature ( C)  25  s = 1.0 in

                                     24
                                     23
                                                 s = 2.0 in
                                     22          s = 1.5 in
                                                 s = 2.5 in
                                     21
                                     20
                                     19
                                        0       2,000      4,000     6,000     8,000    10,000
                                                             Distance (M)
                          Figure 11.16 Calculated steady-flow temperature profiles with polypropylene layers of various thicknesses.
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