Page 168 - Mechanical Engineer's Data Handbook
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FLUID MECHANICS                                                                   157

         4.4.4   Flow through annulus (small gap)                      Q
                                                     Mean velocity V=
                                                                    z(R2 -r2)




         0





         Use formula for flat plates but with B = zD,, where D,   0
         is the mean diameter.

          Flow through annulus (exact formula)

                  ?K                       (R2 -r2)
          Flow Q =-   (PI -p2) (R2 -r2)  (R2 + r2)--   1
                 8uL                           R
                                             In -




         4.5   Fluid jets

         If the velocity or direction of  a jet of fluid is changed,   is proportional to the mass flow rate. Examples are of
         there is a force on the device causing the change which   jets striking both fixed and moving plates.


         Change of  momentum of aJIuid stream         For flow in  one direction, the force on a plate, etc.,
                                                     causing a velocity change is
         Let :
          m=mass flow rate=pAV                       F=h( VI - V2)
         VI =initial  velocity
         Vz =final  velocity                         4.5.  I  Jet on stationary plates
          p =fluid  density
                           It1
          A=flow  area                               Jet on upat plate

                           I' il                     In this case  V2 =0, and if  VI = V
                                                     F=mV=
          A                II I










                      Flat plate, e = Boc
                                                                          Angled plate, 8c90"
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