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FLUID MECHANICS


               5.3.2  Pipe in series
































                                                                                      (v −  v  ) 2
                                                                                     Loss  at  enlarg ement =  1  2
                                                                                         2 g




                                                  Figure 5.7 : Pipe in series




                Example 5.5





                       Water  is  discharged  from  a  reservoir  into  the  atmosphere  through  a  pipe  39  m  long
                       (Figure 5.7). There is a sharp entrance to the pipe and the diameter is 50 mm for the first

                       15 m from the entrance. The pipe then enlarges suddenly to 75 mm in diameter for the

                       remainder  of  its  length.  Taking  into  account  the  loss  of  head  at  entry  and  at  the

                       enlargement, calculate the difference of level between the surface of the reservoir and
                                                                       3
                       the pipe exit which will maintain a flow of 2.8 dm /s. Take f as 0.0048 for the 50 mm pipe
                       and 0.0058 for the 75 mm pipe.












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