A boundary element analysis of multiply connected three-dimensional cavity mixing flow of polymer solutions
✍ Scribed by Roger E. Khayat
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 289 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
The emergence of non-linear dynamics in cavity mixing is examined using the boundary element method (BEM). The method is implemented for the simulation of three-dimensional transient creeping flow of Newtonian or linear viscoelastic fluids of the Jeffreys type. A boundary only formulation in the time domain is proposed for viscoelastic flow. Special emphasis is placed on cavity flow involving multiply connected moving domains. The BEM becomes particularly suited for this case, when part of the boundary (stirrer or rotor) is moving, and the remaining outer part (cavity) is at rest. In contrast to conventional volume methods, the BEM is shown to be much easier to implement since the kinematics of the elements bounding the fluid is known (imposed). It is found that, for a simple cavity flow induced by a rotating vane at constant angular velocity, the tractions at the vane tip and cavity face exhibit non-linear periodic dynamical behaviour with time for fluids obeying linear constitutive equations.