Page 45 - ebook fluid mechanics_finalize
P. 45

FLUID MECHANICS


                            Let,  h1 = Height of the light liquid in the left-hand limb above the common surface

                                            in cm.


                                     h2 =  Height of the heavy liquid in the right-hand limb above the common

                                     surface in cm.


                                 p =  Pressure in the pipe, expressed in terms of head of water in cm
                                     A

                                  ωw =  Specific weight  of the light liquid



                                  ωhg=  Specific gravity of the heavy liquid.





                       The pressure in the left-hand limb and the right-hand limb above the datum line is equal.


                       Pressure in the left-hand limb above the datum line


                                                                            p
                                              Pressure  p  at B =  Pressure   C  at C
                                                          B




















                              p =  Pressure,  p  at A + Pressure due to depth,  h of fluid (Water)
                                                                               1
                                               A
                                B
                               =    p  A  +      h 1
                                                w

                                 p +       gh
                               =   A       w   1


                       Thus pressure in the right-hand limb above the datum line










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