The Mathematical Institute, University of Oxford, Eprints Archive

Mixing Calculations in a Rotating Partitioned Pipe

Glasgow, C. and Parrott, A. K. (1996) Mixing Calculations in a Rotating Partitioned Pipe. Technical Report. Unspecified. (Submitted)

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Abstract

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.

Item Type:Technical Report (Technical Report)
Subjects:A - C > Approximations and expansions
D - G > Fluid mechanics
H - N > Mechanics of particles and systems
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1322
Deposited By:Lotti Ekert
Deposited On:12 Jun 2011 09:54
Last Modified:12 Jun 2011 09:54

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