Page 83 - Process Modelling and Simulation With Finite Element Methods
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70          Process Modelling and Simulation with Finite Element Methods


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                         -1.5   .;   -05   0   05   1   15
                                       X
                  Figure 2.2  Streamlines for a point vortex at the center of a circular cavity.
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             Figure 2.3  Streamlines for a point vortex at the center of a circular cavity, adapted mesh.
         Exercise  2.1
         Solve  for  the  streamlines  when  the  vorticity  falls  off  exponentially  with
         radius. i.e.





         2.1.2  The diffusion equation: A parabolic PDE

         The 1-D unsteady diffusion equation  (2.2) can refer equally well to any of three
         common transport phenomena:
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