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                                           Piping System Friction
                                                               Piping System Friction  49

                      The friction factor f is usually derived from the Colebrook equation:

                                        1              	     2.51
                                           2 log  10                             (3.4)
                                        f             3.7D   R f
                    where R   Reynolds number
                           	  absolute roughness parameter (typically 0.00015 for steel
                               pipe)
                    For practical purposes, the friction factor f is calculated from the
                    Moody diagram described later.

                    Williams and Hazen formula
                                                         1.85  gal/min 1.85
                                                     100
                                  Hf   0.002083   L                              (3.5)
                                                                d
                                                                 4.8655
                                                      C
                    where C   a design factor determined for various types of pipe
                           d   inside diameter of pipe, in
                      There are a number of sources for securing the data for the afore-
                    mentioned equations in either tabular or software form. Before any
                    data on pipe friction are used, either in tabular or computer software
                    form, be sure that the pipe under consideration has the same inside
                    diameter as that in the tables or computer software! The following
                    pages demonstrate some of the sources for pipe friction data in tabu-
                    lar form. A principal source is the Hydraulic Institute’s Engineering
                    Data Book. This book is based on the Darcy Weisbach formula, and
                    Table 3.5 has been developed from Hydraulic Institute data for steel
                    pipe. It is strongly recommended that this data book be acquired by
                    anyone who is involved in piping design.


                    3.3.2 Reynolds number and the Moody diagram
                    The Hydraulic Institute’s  Engineering Data Book contains some
                    very practical information on the generation and use of Reynolds
                    number. Reynolds number is a dimensionless number that simpli-
                    fies the calculation of pipe friction under varying velocities and
                    viscosities.

                                                             V   D
                                        Reynolds number R                        (3.6)

                    where V   velocity, ft/s
                          D   pipe diameter, ft
                           
  kinematic viscosity, ft /s
                                                  2



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