Optimizing mixing in lid-driven flow designs through predictions from Eulerian indicators
Abstract
In this paper, we further develop the notion of Eulerian indicators (EIs) for predicting Lagrangian mixing behavior. We employ a two-dimensional “blinking” Stokes flow as a model for mixing in a three-dimensional, spatially periodic channel flow. Each blinking flow alternates two distinct velocity fields that were calculated using a lid-driven cavity model. A new EI termed mobility is introduced to measure how effectively the blinking velocity fields transport fluid throughout the domain. We also calculate the transversality for these flows, which is an EI measuring how much the velocity direction at each point in the domain changes when the velocity fields blink. For the studied flows, we show that although individually the mobility and transversality do not correlate well with mixing as measured by the decay of the variance of concentration, the product of mobility and transversality does correlate well with the decay of the variance of concentration and predicts which combinations of velocity fields will produce the most effective mixing.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Aug 01, 2011
- Source ID
- 10.1063/1.3626022
Entities
People
- David Mott
- Elaine Oran
- Kevin L. Mcilhany
- Stephen Wiggins
Organizations
- Office of Naval Research
- United States Naval Academy
- University of Bristol