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Functionalized Nanoscale Materials, Devices and Systems pp 437–444Cite as

Applications of Statistical Physics to Mixing in Microchannels: Entropy and Multifractals

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Part of the NATO Science for Peace and Security Series B: Physics and Biophysics book series (NAPSB)

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.

Keywords

  • Microfluidics
  • entropy
  • fractals
  • mixing

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Author information

Authors and Affiliations

  1. Department of Physics, Cleveland State University, Cleveland, OH, 44115, USA

    M. Kaufman

  2. Department of Macromole cular Science, Case Western Reserve University, Cleveland, OH, 44106, USA

    M. Camesasca & I. Manas-Zloczower

  3. Electronics Design Center, Case Western Reserve University, Cleveland, OH, 44106, USA

    L. A. Dudik & C. Liu

Authors
  1. M. Kaufman
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  2. M. Camesasca
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  3. I. Manas-Zloczower
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  4. L. A. Dudik
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  5. C. Liu
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Corresponding author

Correspondence to M. Kaufman .

Editor information

Editors and Affiliations

  1. Nanomaterials Processing and Characterization Laboratories, Marshall University, Huntington, WV, USA

    A. Vaseashta

  2. “Laser-Surface-Plasma Interactions” Laboratory, National Institute for Lasers, Plasma and Radiation Physics, Bucharest-Magurele, Romania

    I. N. Mihailescu

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© 2008 Springer Science + Business Media B.V.

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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: Vaseashta, A., Mihailescu, I.N. (eds) Functionalized Nanoscale Materials, Devices and Systems. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8903-9_45

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