Applications of statistical physics to mixing in microchannels: Entropy and multifractals

M. Kaufman; M. Camesasca; I. Manas-Zloczower; L. A. Dudik; C. Liu

doi:10.1007/978-1-4020-8903-9-45

Applications of statistical physics to mixing in microchannels: Entropy and multifractals

M. Kaufman, M. Camesasca, I. Manas-Zloczower, L. A. Dudik, C. Liu

Graduate Institute of Materials Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

3 Scopus citations

Abstract

We apply rigorous measures of mixing based on entropy in conjunction with fractals to the field of microfluidics. First we determine the entropy and multifractal dimensions of images of mixing a fluorescent and a non-fluorescent fluid in a microchannel. We find the microstructures to be self-similar (fractals). Second we propose a new approach for patterning the walls of microchannels using the Weierstrass function. We have evidence from numerical simulations that by properly adjusting the dimension of the Weierstrass function one can get microfluidic devices that exhibit better mixing than the current ones.

Original language	English
Title of host publication	Functionalized Nanoscale Materials, Devices and Systems
Editors	A. Vaseashta, I.N. Mihailescu
Pages	437-444
Number of pages	8
DOIs	https://doi.org/10.1007/978-1-4020-8903-9-45
State	Published - 2008

Publication series

Name	NATO Science for Peace and Security Series B: Physics and Biophysics
ISSN (Print)	1874-6500

Keywords

Entropy
Fractals
Microfluidics
Mixing

Access to Document

10.1007/978-1-4020-8903-9-45

Cite this

Kaufman, M., Camesasca, M., Manas-Zloczower, I., Dudik, L. A., & Liu, C. (2008). Applications of statistical physics to mixing in microchannels: Entropy and multifractals. In A. Vaseashta, & I. N. Mihailescu (Eds.), Functionalized Nanoscale Materials, Devices and Systems (pp. 437-444). (NATO Science for Peace and Security Series B: Physics and Biophysics). https://doi.org/10.1007/978-1-4020-8903-9-45

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Kaufman, M, Camesasca, M, Manas-Zloczower, I, Dudik, LA & Liu, C 2008, Applications of statistical physics to mixing in microchannels: Entropy and multifractals. in A Vaseashta & IN Mihailescu (eds), Functionalized Nanoscale Materials, Devices and Systems. NATO Science for Peace and Security Series B: Physics and Biophysics, pp. 437-444. https://doi.org/10.1007/978-1-4020-8903-9-45

Applications of statistical physics to mixing in microchannels: Entropy and multifractals. / Kaufman, M.; Camesasca, M.; Manas-Zloczower, I. et al.
Functionalized Nanoscale Materials, Devices and Systems. ed. / A. Vaseashta; I.N. Mihailescu. 2008. p. 437-444 (NATO Science for Peace and Security Series B: Physics and Biophysics).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Applications of statistical physics to mixing in microchannels

T2 - Entropy and multifractals

AU - Kaufman, M.

AU - Camesasca, M.

AU - Manas-Zloczower, I.

AU - Dudik, L. A.

AU - Liu, C.

PY - 2008

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AB - We apply rigorous measures of mixing based on entropy in conjunction with fractals to the field of microfluidics. First we determine the entropy and multifractal dimensions of images of mixing a fluorescent and a non-fluorescent fluid in a microchannel. We find the microstructures to be self-similar (fractals). Second we propose a new approach for patterning the walls of microchannels using the Weierstrass function. We have evidence from numerical simulations that by properly adjusting the dimension of the Weierstrass function one can get microfluidic devices that exhibit better mixing than the current ones.

KW - Entropy

KW - Fractals

KW - Microfluidics

KW - Mixing

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DO - 10.1007/978-1-4020-8903-9-45

M3 - 篇章

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SN - 9781402089022

T3 - NATO Science for Peace and Security Series B: Physics and Biophysics

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EP - 444

BT - Functionalized Nanoscale Materials, Devices and Systems

A2 - Vaseashta, A.

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Kaufman M, Camesasca M, Manas-Zloczower I, Dudik LA, Liu C. Applications of statistical physics to mixing in microchannels: Entropy and multifractals. In Vaseashta A, Mihailescu IN, editors, Functionalized Nanoscale Materials, Devices and Systems. 2008. p. 437-444. (NATO Science for Peace and Security Series B: Physics and Biophysics). doi: 10.1007/978-1-4020-8903-9-45

Applications of statistical physics to mixing in microchannels: Entropy and multifractals

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