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                                      Digital Electronics and HVAC Pumps

                    6   The Basic Tools

                    TABLE 1.1 Sample Output Headings

                     Pressure-drop analysis*
                        Node          Pipe              Terminal
                                                 Pipe            CV  Fitting Special Total
                     From   To  Diameter  Length, ft  PD  Flow  PD  PD  PD  PD   PD
                       5    6    2.50     22.5   0.75   70   22  31.0  0.21     53.96
                     System estimate†
                                                           Material     Labor
                                                                                Total
                     Item  Size  Description  Quantity  Unit  Unit  Cost  Unit  Cost  Cost
                       1   2.00  Schedule 40  115.0  LF   2.42  278   42   4830  5108
                     Final simulation results
                        Link                 Flow (gpm)  Pressure head (ft)
                                   Pipe
                     Start  End   diameter  Input  Actual  At start  Node  Temperature, °F
                       4     5      2.5     70    75.3    34.4   (79.37)     160
                      *Chiller or boiler pressure drop not included.
                      †Labor and cost units are entered by user as master data for given localities. Cost estimates are not in-
                    tended to give accurate costs for bidding purposes.


                    1.3 Hydraulic-Gradient Diagrams
                    The hydraulic-gradient diagram provides a visual description of the
                    changes in total pressure in a water system. To date, these diagrams
                    have been drawn manually; the actual drawing of the hydraulic-
                    gradient diagram is now being evaluated for conversion to software;
                    when this is completed, the diagram will appear automatically on the
                    computer screen after the piping friction calculations are completed.
                      The hydraulic-gradient diagram has proved to be an invaluable tool
                    in the development of a water system. It will appear throughout this
                    book for various types of water systems. Its generation will be ex-
                    plained in Chap. 3. Clarification should be made between an energy
                    gradient and the hydraulic gradient of a water system. The energy gra-
                                                    2
                    dient includes the velocity head V /2g, of the water system, while the
                    hydraulic gradient includes only the static and pressure heads. Velocity
                    head is usually a number less than 5 ft and is not used to move water
                    through pipe, as are static and pressure heads. Using the energy gradi-
                    ent with the velocity head increases the calculations for developing
                    these diagrams; therefore, the hydraulic gradient is used instead.


                    1.3.1    Energy and hydraulic gradients
                    Figure 1.1 describes the difference between the energy gradient and
                    the hydraulic gradient. This diagram is typical for an open system




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