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µ  )φ                                                         19

                                                m




                                                ⋅
                                                pR  (


                                                2

                                                =

                                                h
                                                ⋅                 with respect to φ is small compared to  so the second term is ignored
                         Differentiating
                                                 flow  )

                                               ′
                                                Y
                                                    φ
                                            d       d


                                                ⋅  (
                                                                                            µ  )φ
                                                −1                                              m             Prof. Ramesh Singh, Notes by Dr.   Singh/ Dr. Colton





                                            p        flow
                                                   ′                                        R
                                                    Y                                       2   (   h

                                                                  with respect to φ
                                                +                                               =
                                                                                      


                                            p        flow                          p        flow
                                                   ′                                      ′
                                                    Y                                      Y       p        flow
                                                              Rearranging, the variation Y’ flow .h    ′
                                                    φ                                                  Y
                                            d                                              φ
                                                    d                              d
                                                ⋅                     the variation p/ Y’ flow  d
                                                h
                                                ⋅
                                                 flow


                                               ′
                                                Y
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