Page 168 - Process Modelling and Simulation With Finite Element Methods
P. 168

Extended Multiphysics                155

          The  tanku.m,  tankv.m,  and  tankp.m  m-file  functions  are  now  callable  from
          FEMLAB's  GUI  as  initial  conditions  for  the  tank.  The  velocity  profile  is  a
          driven cavity flow, with free stream scaled so that the inlet velocity  is unity.  If
          you  find this  implementation  of the initial conditions  for the tank velocity  field
          unwieldy, there  is an alternative  approach  which uses the "Solve  for variables"
          feature  of  the  Solver Parameters  to  first  select  to  solve  only for the  stationary
          velocity  profile  in the tank,  without the mass transfer.  Then with  all variables
          turned back, solve with the restart button on the toolbar, taking the velocity field
          only as the initial condition from the previous solution. This mechanism was not
          available when this section was written  with FEMLAB 2.2.  To see it in action,
          chapter nine illustrates this methodology for electrokinetic flow.

          Component 2: Passive scalar convection and diffusion equation

          Purists will note that the Chemical Engineering Module comes with a convection
          and diffusion mode  (cd).  It is very good for the implementation  of convective
          flux  boundaries.   However,  if  you  wish  to  set  the  normal  derivative  of
          concentration to zero along an outflow boundary, it is clumsy to implement in cd
          mode.  It is easier to implement in a standard coefficient mode, so we will tackle
          our solutal transport effects that way.



                       5  ,
                      45  -              ._ -.
                       4-
                      35-
                       3-
                      25-
                       2-
                                   -  . c - -_--
                      15-        ,.
                                       "__-_+---lJ
                       1-              -  -
                                 e-
                                         r
                                           ,-=ks
                      05-        --**
                                 A>---     + - f - * - -  .>
                       0  '
         Pull down the Multiphysics menu and select AddEdit modes.

             Multiphysics Add/Edit modes (cl)
                     Select the coefficient mode, time-dependent
                     Name the independent variable cl
                     Element: Lagrange - quadratic
                 0   Apply/OK
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