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226    Chapter 7 Industrial cooling systems




                Blowdown, including loss from the process plant (B)
                COC for cooling tower normally remains between 3 and 7. We assume COC ¼ 5. Accordingly,

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                   B ¼ E=ðCOC   1Þ  D ¼ 98:467=ð5   1Þ  1:2 ¼ 23:417 m =hr 0:39% on 6000m=hr
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                Hence, make up water, M ¼ B þ D þ E ¼ 23.417 þ 1.2 þ 98.467 ¼ 123.08 m /hr, say 124 m /hr,
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             amounting to 31 m /hr per cell (2.07% on 6000 m /hr), assuming negligible leakage loss.
             Pump calculations
             Selection of pump: We choose centrifugal pumps as per industrial practice for high flow rates, i.e.,
                           3
             2 nos.   3000 m /hr capacity. The operating point of the centrifugal pump is chosen to have maximum
                                        3
             efficiency. Selecting 2   3000 m =hr pumps will give us additional benefit of operating only 2 cells
             with a single pump running if need arises. Since centrifugal pump capacity can be turned down to 50%,
             even a single cell operation would be possible.
                                                           00
                The cooling water header pipe size is chosen to be 20 NB, Schedule 40, having ID 18:812 . This
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             would entail a reasonable velocity of 2.3236 m/s, and the pressure loss estimated to be 0.0776 kg/cm 2
             per 100 m length.
                At the tower, the header climb is the total of air inlet height (taken to be half the cell width, i.e.,
             5 m), and fill and distributor height, i.e., 2 m.
                Hence, the total static head of 7 m is considered.
                For a static climb of 7 m, the header pressure at the base of the cooling tower, if kept at 1 kg/cm 2
             (g) is sufficient.
             Pump discharge pressure ¼ Pressure at CT base þ Pressure drop in process plant þ Pressure drop in
                                                     2
                                                                          2
                   header to and from CT (assumed 1 kg/cm ) ¼ 1 þ 2 þ 1 ¼ 4 kg/cm (g), i.e., 40 mWC.
                Assuming pump and motor h to be 85% and 95%,
                   Pump motor power ¼ (3000/3600)   40   1000   9.8/(1000   0.85   0.96) ¼ 400 kW



             Cooling tower sump

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                                    Base area of tower ¼ 4   10   10 ¼ 400 m

                           Sump water depth ¼ 1.75 m, Sump freeboard ¼ 0.25 m (assumed)

                                       Sump holdup ¼ 400   1.75 ¼ 700 m 3

                This corresponds to holding time of ð60  700=6000Þ¼ 7 min
                Note: In case the holding time needs to be increased, additional sump may be provided. The depth
             of the sump may be kept 2 m, and a space adjacent to the tower may be used in constructing the
             additional sump (Table P7.3).
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