Predicting chaotic dispersion with Eulerian symmetry measures: Wavy Taylor-vortex flow
UNSPECIFIED. (2001) Predicting chaotic dispersion with Eulerian symmetry measures: Wavy Taylor-vortex flow. PHYSICS OF FLUIDS, 13 (9). pp. 2522-2528. ISSN 1070-6631Full text not available from this repository.
In a recent investigation of particle transport in numerically computed wavy Taylor-vortex flow, Rudman estimated an effective axial diffusion coefficient, D-z, to characterize the enhanced mixing due to chaotic advection [AIChE J. 44, 1015 (1998)]. We find that D-z is proportional to the product of two measures of symmetry deviation. The first is a measure of the average deviation of the flow from rotational symmetry, and the second is a measure of the average deviation from flexion-free flow (a flow where the curl of the vorticity is zero). Because these quantities are obtained directly from the velocity field, we call them Eulerian symmetry measures. Thus, we show that the macroscopic transport behavior in a flow can be quantified directly in terms of the velocity field and its gradients, and hence provides a connection between Eulerian and Lagrangian pictures of transport-a problem of fundamental and widespread interest. (C) 2001 American Institute of Physics.
|Item Type:||Journal Article|
|Subjects:||T Technology > TJ Mechanical engineering and machinery
Q Science > QC Physics
|Journal or Publication Title:||PHYSICS OF FLUIDS|
|Publisher:||AMER INST PHYSICS|
|Official Date:||September 2001|
|Number of Pages:||7|
|Page Range:||pp. 2522-2528|
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