Page 361 - Process Modelling and Simulation With Finite Element Methods
P. 361

348        Process Modelling and Simulation with Finite Element Methods

         constraint on the inlet (bnd  1 of geom2).  There is a coupled boundary constraint
          of the Dirichlet type, which requires treatment with a weak boundary constraint.

                   Multiphysics AddEdit Modes
                          Select “Weak boundary constraint”
                          Mode WCC and variable name lmu>>
                          Apply/OK
          Back  in  the  FEMLAB  GUI  main  window,  select  Boundary  Mode  and
          Boundary Settings for mode wcl.
                  __s Boundary Mode and Boundary Settings (wcc)
                          Select domain 1, check active in this
                          subdomain, type ‘c’ into the constraint
                          variable entry box


          Repeating  the  two  solver  steps  - fast  elliptic  and  time  dependent  - yields  for
          instance Figure 9.12, a cross plot at position x=OS for all times, clearly showing
          the passage of a c=l slug being displaced by a c=O diffusive-convective front.

                               Concentration at position x=0.5




                          07






                          01-  A


                                          Time
               Figure 9.12  Concentration at a fixed point x=0.5 in the outlet geometry over time

         There  are  clearly  many  more  variations  on  this  theme  that  can  be  made.
         Coupling variables and extended multiphysics enable the connections to be made
          for  entire  microfluidic  switching  networks,  if  patiently  constructed.
          Electrokinetic  microchannel  flows  have  a  rich  texture  of  physicochemical
          coupling  for  which  this  chapter  has  only  touched  the  surface,  hinting  at  the
         power  of  control  available  through combined  pressure  and voltage  application.
   356   357   358   359   360   361   362   363   364   365   366