Spectral Characterization of Static Mixers. The S-Shaped Micromixer as a Case Study

被引:24
作者
Garofalo, F. [1 ]
Adrover, A. [1 ]
Cerbelli, S. [1 ]
Giona, M. [1 ]
机构
[1] Univ Roma La Sapienza, Dipartimento Ingn Chim, I-00184 Rome, Italy
关键词
motionless micromixer; helical flow; advection-diffusion equation; mixing; homogenization exponent; spectral analysis; LAMINAR FLOWS; STOKES-FLOW; QUANTIFICATION; MICROCHANNEL; CHANNELS; SCALAR;
D O I
10.1002/aic.11994
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
We investigate the steady-state performance of a planar micromixer composed of several S-shaped units. Mixing efficiency is quantified by the decay of the scalar variance downstream the device for generic feeding conditions. We discuss how this decay is controlled by the spectral properties of the advection-diffusion Floquet operator, F, that maps a generic scalar profile at the inlet of a single unit into the corresponding profile at the unit outlet section. Two advantages characterize the Floquet operator approach -(i) it allows to analyze an arbitrarily long device and (ii) it provides a quantitative assessment of mixing efficiency that is independent of the feeding conditions and that depends solely on the interaction between advection and diffusion. (C) 2009 American Institute of Chemical Engineers AIChE J, 56: 318-335, 2010
引用
收藏
页码:318 / 335
页数:18
相关论文
共 27 条
[1]   The development of chaotic advection [J].
Aref, H .
PHYSICS OF FLUIDS, 2002, 14 (04) :1315-1325
[2]   Experimental study of reactive chaotic flows in tubular reactors [J].
Boesinger, C ;
Le Guer, Y ;
Mory, M .
AICHE JOURNAL, 2005, 51 (08) :2122-2132
[3]   Steady-state performance of an infinitely fast reaction in a three-dimensional open Stokes flow [J].
Cerbelli, S. ;
Garofalo, F. ;
Giona, M. .
CHEMICAL ENGINEERING SCIENCE, 2008, 63 (17) :4396-4411
[4]   Eigenvalue-eigenfunction analysis of infinitely fast reactions and micromixing regimes in regular and chaotic bounded flows [J].
Cerbelli, S ;
Vitacolonna, V ;
Adrover, A ;
Giona, M .
CHEMICAL ENGINEERING SCIENCE, 2004, 59 (11) :2125-2144
[5]   Prediction and quantification of micromixing intensities in laminar flows [J].
Cerbelli, S ;
Alvarez, MM ;
Muzzio, FJ .
AICHE JOURNAL, 2002, 48 (04) :686-700
[6]   Topologic mixing on a microfluidic chip [J].
Chen, H ;
Meiners, JC .
APPLIED PHYSICS LETTERS, 2004, 84 (12) :2193-2195
[7]   Mixing measures for a two-dimensional chaotic Stokes flow [J].
Finn, MD ;
Cox, SM ;
Byrne, HM .
JOURNAL OF ENGINEERING MATHEMATICS, 2004, 48 (02) :129-155
[8]   Transient micromixing: Examples of laminar and chaotic stirring [J].
Gleeson, JP .
PHYSICS OF FLUIDS, 2005, 17 (10)
[9]  
GLEESON JP, SIAM J APPLMATH, V64, P1294
[10]   Helical flows and chaotic mixing in curved micro channels [J].
Jiang, F ;
Drese, KS ;
Hardt, S ;
Küpper, M ;
Schönfeld, F .
AICHE JOURNAL, 2004, 50 (09) :2297-2305