Measures of mixing quality in open flows with chaotic advection

Abstract

We address the evaluation of mixing efficiency in experiments of chaotic mixing inside an open-flow channel. Since the open flow continuously brings new fluid into the limited mixing region, it is difficult to define relevant mixing indices, as fluid particles experience typically very different stretching and mixing histories. The repeated stretching and folding of a spot of dye leads to a persistent pattern. We propose that the normalized standard deviation of this characteristic pattern is a good measure of the mixing quality of the flow. We discuss the link between this measure and mixing of continuously-injected dye, and investigate it using an idealized map.

arXiv comment12 pages, 15 figures, PDFLaTeX with ReVTeX4

References in corpus (7)

• Topological Mixing with Ghost Rods
• Braids of entangled particle trajectories
• Mixing by polymers: experimental test of decay regime of mixing
• Measuring Topological Chaos
• Slow decay of concentration variance due to no-slip walls in chaotic mixing
• Open-flow mixing: Experimental evidence for strange eigenmodes
• Topological Chaos in Spatially Periodic Mixers

Cited by in corpus (8)

• Frontiers of chaotic advection
• Using multiscale norms to quantify mixing and transport
• The Mixing efficiency of open flows
• Residence time distributions for in-line chaotic mixers
• Lagrangian mixing of pulsatile flows in constricted tubes
• Reacting particles in open chaotic flows
• Open-flow mixing and transfer operators
• Diffusion and escape times in the open-leaky standard map