Mechanism to explore lamination rate
File(s)Rossi_PRE_2010-onlineversion.pdf (741.15 KB)
Published version
Author(s)
rossi, lionel
Type
Journal Article
Abstract
A mechanism amenable to laminate and fold flows is identified and quantified. This laminating mechanism
follows from a physical and experimental approach relying on the interlaced structure of velocity and Lagrangian
acceleration. The Lagrangian acceleration being the resultant of the forces applied on particle fluids, the
component of acceleration perpendicular to the velocity vector allows the quantification of a rate of change of
the velocity’s direction, i.e., the local angular Lagrangian velocity, ˙ . The spatial variation in ˙ is then used to
predict and measure the lamination and folding rate. To support and illustrate this approach, three basic
experimental flows, driven by electromagnetic forces, are discussed and compared. Folding rate intensities are
extracted for different characteristic length scales. Also, good agreement is found between grid deformation
and the prediction of lamination rate. This quantification of lamination rate opens new avenues for the design
of mixers, in particular at low Reynolds numbers
follows from a physical and experimental approach relying on the interlaced structure of velocity and Lagrangian
acceleration. The Lagrangian acceleration being the resultant of the forces applied on particle fluids, the
component of acceleration perpendicular to the velocity vector allows the quantification of a rate of change of
the velocity’s direction, i.e., the local angular Lagrangian velocity, ˙ . The spatial variation in ˙ is then used to
predict and measure the lamination and folding rate. To support and illustrate this approach, three basic
experimental flows, driven by electromagnetic forces, are discussed and compared. Folding rate intensities are
extracted for different characteristic length scales. Also, good agreement is found between grid deformation
and the prediction of lamination rate. This quantification of lamination rate opens new avenues for the design
of mixers, in particular at low Reynolds numbers
Version
Published version
Date Issued
2010
Citation
PHYSICAL REVIEW E, 2010, 81 (2), pp.027301-1-027301-4
ISSN
1539-3755
Publisher
The American Physical Society
Start Page
027301-1
End Page
027301-4
Journal / Book Title
PHYSICAL REVIEW E
Volume
81
Issue
2
Copyright Statement
©2010 The American Physical Society
Source Volume Number
81
Article Number
027301