Page 431 - Introduction to Continuum Mechanics
P. 431

Newtonian Viscous Fluid 415









           Computing the rate of mass flow dm/dt, we have






         Thus,






         or





         For given/? , p , and AI we see dm /dt depends only on/? . When/? = 0, dm/dt is zero

         and when/? = /? 1, dm/dt is also zero.
           Figure 6.16 shows the curve of dm/dt versus/? //? , according to Eq. (6.29.6). It can be
         easily established that (dm /dt) max occurs at






         and at this pressure/? ,
   426   427   428   429   430   431   432   433   434   435   436