Page 344 - Process Modelling and Simulation With Finite Element Methods
P. 344

Electrokinetic Flow                  33 1


         We now need to reconfigure our boundary conditions and PDE coefficients to
         reflect the new geometry.  In our model, the boundary segment number
         assignments are 1,3 (inlet), 2,4,5,6,7,8 (side walls), 9 (outlet),. Pull down the
         Boundary menu and select Boundary Settings.  In parallel with the previous
         set up, make the following assignments:




             bnd 1,3            bnd 2,4,5,6,7,8   bnd 9
             outflowlpressure   u = zeta*phix    outflowlpressure
             p=o                v = zeta*phiy    p=o
                     species mode
             bnd 1,3            bnd 2,4,5,6,7,8   bnd 9
             Dirichlet          Neumann          Neumann
             G=0; R=-Y          G=O              G = betael*zel*Y*phix
                     potential mode
            I  bnd  1,3        I  bnd2,4,5,6,7,8  I  bnd9              1
              Dirichlet         Neumann          Dirichlet
              G=0; R=5-phi      G=O              G=O; R= -phi


         The Subdomain mode/settings are identical as before, but still need to be
         made, since we threw out the previous subdomain, and with it, its subdomain
         settings:


           Subdomain       r                             F            da
           Modelsettings
           Subdomain 1     p=l; q=l/Re;  Fx=O;  Fy=O
           (ns mode)
           Subdomain 1     -( l/Pec)*Yx-betael*zel*Y*phix   -u*Yx-v*Yy   1
           (species mode)   (space delimiter)
                           -( l/Pec)*Yy-betael*zel*Y *phiy

           Init tab        Y(t0) = 1
           Subdomain 1     -sig*phix -sig*phiy           0            0
           (potential mode)
              0            Apply I OK
          The  constants  and  expressions  were  made  geometry-wide  through  geoml , so
          they are inherited.  We also inherit the weak boundary modes wcu and wcv, but
          need to make the new assignments.
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