Page 86 - 4167
P. 86

2
                                                              a   t 
                                                                  h   .
                                                                 2
                  Therefore
                                                                2h
                                                                  a   .
                                                                t  2

                  As
                                                              a
                                                                     ,
                                                              R
                  we obtain
                                                              2 h
                                                                    .
                                                             t  2 R
                  Substituting equations  we get a computation formula for determination
                  of  unknow  moment of inertia :

                                                       gt  2   
                                                                
                                                                   mRI  2    1 /
                                                       2h      
                                                               

                                                    7.FLUID DYNAMICS


                         Fluid  dynamics  is  the  study  of  fluids  in  motion.  It  is  one  of  the
                  most complex branches of mechanics, which can be illustrated by such
                  familiar examples of fluid flow as a river in flood or a swirling cloud of

                  cigarette  smoke.  While  each  drop  of  water  or  each  smoke  particle  is
                  governed by Newton's laws of motion, the resulting equations can be
                  exceedingly  complex.  Fortunately,  many  situations  of  practical

                  importance  can  be  represented  by  idealized  models  that  are  simple
                  enough to permit detailed analysis.


                                              7.1   Ideal fluid  . Streamline. Flow Tube

                          Ideal    fluid,    is  model  of  real  liquid,  i.e    incompressible  and
                  without      internal  friction  or  viscosity.  The  assumption  of

                  incompressibility is usually a good approximation for liquids. A gas can
                  also be treated as incompressible  if the pressure differences are not too
                  great. Internal friction in a fluid gives rise to shear stresses when two

                  adjacent layers of fluid move relative to each other, or when the fluid
                  flows  inside  a tube  or  around  an  obstacle.  In  some  cases  these  shear
                  forces  can  be  neglected  in  comparison  with  gravitational  forces  and




                                                                85
   81   82   83   84   85   86   87   88   89   90   91