Page 110 - ebook fluid mechanics_finalize
P. 110

FLUID MECHANICS





                              This equation can therefore be written,





                                               A 2        p  − p  
                                     v 1  =           2g   1    2      ——————(4)
                                            (A 1 2  − a 2 2 )      





                              So,





                              Actual  discharg e =  coefficien t  of  discharg e theoretica l  discharg e





                                     Q actual  = Cd   A 1  1 v         ——————(5)






                              Putting v1 into (5)





                                                     A 2        p  − p  
                                            A
                              Q actual  = Cd  1            2g   1   2       ——————(6)
                                                  (A 1 2  − a 2 2 )      





                                       A  2
                              but, m =   1
                                       A 2 2





                              so putting m into (6),


                                                  C  A         p  − p  
                              Q actual  = Cd  A 1    d  1  2g   1  2  
                                                 (m 2  −1 )          





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