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                                                        CHEMICAL ENGINEERING
                             There will also be a pressure drop due to the valves used to isolate equipment and
                           control the fluid flow. The pressure drop due to these miscellaneous losses can be estimated
                           using either of two methods:
                             1. As the number of velocity heads, K, lost at each fitting or valve.
                                                                                                2
                                                                                      2
                                                  2
                                A velocity head is u /2g, metres of the fluid, equivalent to  u /2  ,N/m .The
                                total number of velocity heads lost due to all the fittings and valves is added to the
                                pressure drop due to pipe friction.
                             2. As a length of pipe that would cause the same pressure loss as the fitting or valve.
                                As this will be a function of the pipe diameter, it is expressed as the number of
                                equivalent pipe diameters. The length of pipe to add to the actual pipe length is
                                found by multiplying the total number of equivalent pipe diameters by the diameter
                                of the pipe being used.
                           The number of velocity heads lost, or equivalent pipe diameter, is a characteristic of the
                           particular fitting or type of valve used. Values can be found in handbooks and manufac-
                           turers’ literature. The values for a selected number of fittings and valves are given in
                           Table 5.3.
                             The two methods used to estimate the miscellaneous losses are illustrated in
                           Example 5.1.
                             Pipe fittings are discussed in section 5.5.3, see also Perry et al. (1997). Valve types and
                           applications are discussed in section 5.3.

                                        Table 5.3.  Pressure loss in pipe fittings and valves (for turbulent flow)
                                      Fitting or valve         K, number of  number of equivalent
                                                              velocity heads   pipe diameters
                                      45 ° standard elbow         0.35             15
                                      45 ° long radius elbow      0.2              10
                                      90 ° standard radius elbow  0.6 0.8         30 40
                                      90 ° standard long elbow    0.45             23
                                      90 ° square elbow           1.5              75
                                      Tee-entry from leg          1.2              60
                                      Tee-entry into leg          1.8              90
                                      Union and coupling          0.04              2
                                      Sharp reduction (tank outlet)  0.5           25
                                      Sudden expansion (tank inlet)  1.0           50
                                      Gate valve
                                               fully open         0.15              7.5
                                               1/4 open          16               800
                                               1/2 open           4               200
                                               3/4 open           1                40
                                      Globe valve, bevel seat-
                                               fully open         6               300
                                               1/2 open           8.5             450
                                      Plug valve - open           0.4              18


                           Example 5.1
                           A pipeline connecting two tanks contains four standard elbows, a plug valve that is fully
                           open and a gate valve that is half open. The line is commercial steel pipe, 25 mm internal
                           diameter, length 120 m.
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