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12.7  CO 2 Transportation                                       379

            12.7.1 Pipeline Transportation

            Prior to transportation via pipeline, CO 2 is compressed to a supercritical fluid or
            liquid state for efficient pipeline transportation [51]. The critical point of CO 2 is
            31.1 °C and 73 atm. However, temperature and pressure drops along the pipeline,
            therefore, prior to delivery CO 2 is compressed to a pressure that is more than
            73 atm.
              The pressure drop per unit length of pipeline can be described as

                                      DP       qU 2
                                         ¼ f D                          ð12:61Þ
                                      DL       2d
            where  DP  is the pressure drop per unit length of pipeline (Pa/m), f D is the dimen-
                 DL
            sionless Darcy friction factor, d is the diameter of the pipeline, q is the density of
            the fluids, CO 2 in this case, and U is the average speed of the fluid.
              The Darcy friction factor can be calculated using the Colebrook-White equation
            [14].

                                                         !
                                 1=2           e     2:51
                               f    ¼ 2log        þ                     ð12:62Þ
                                D          10          1=2
                                              3:7d  Ref D
            where e is the pipeline inner surface roughness, which is about 46 lm; for typical
            commercial steel pipes. Re is the Reynolds number in pipeline and it can be
            calculated using Eq. (12.63)

                                           qUd   4 _ m
                                      Re ¼     ¼                        ð12:63Þ
                                            l    lpd

            Example 12.5: Pressure drop in a pipeline
            Consider a pipeline made of commercial steel with an inner diameter of 40 cm for
            transporting CO 2 at a flow rate of 3.5 Mega tons per year. Use CO 2 properties under
                                                     3
            11 MPa and 25 °C as follows: q ¼ 877 kg=m and l ¼ 7:73   10  5  Pa   s.
            Estimate the pressure drop over a distance of 100 km.
            Solution
            Convert the unit of the CO 2 flow rate as

                                              6
                                Mt    3:5   10   1000 kg
                        _ m ¼ 3:5   ¼                    ¼ 111 kg=s
                                year   365   24   3600 s
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