Popis: |
We consider laminar mixing in a steady incompressible Newtonian fluid. Through the use of particle tracking methods and analogous techniques applicable to material element vectors on a given velocity field, residence time distributions, Poincare maps and material element deformations are computed; all of which are useful tools in determining the efficacy of a mixing system. We analyse the accuracy of using solenoidal flux-interpolating splines to represent the underlying velocity field as a basis for determining mixing efficiencies. As a test case we use a rotating partitioned pipe mixer for which an approximate Stokes velocity field is available. The Stokes representation provides us with a benchmark with which to assess the accuracy of the spline interpolants. |