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Secondary Dean flow characteristics of inelastic Bird-Carreau fluids in curved microchannels

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Abstract

To effectively control the mixing of target materials inside microfluidic devices, the Dean flow features of generalized-Newtonian Bird-Carreau (BC) fluids in curved rectangular channels are theoretically investigated, as a passive technique. Governing equations coupled with the Cauchy momentum equation and the BC model are solved using the finite volume scheme with a semi-implicit method for pressure-linked equations-revised (SIMPLER) algorithm. The effects of the rheological parameters of BC model, such as viscosity ratio, power-law index, and relaxation time constant, on the Dean flow are systematically examined in a wide range of Dean numbers (Dn), (very low to O(102)). The entire flow characteristics of BC fluids in curved microchannels with increasing Dn are quantified using flow skewness, DnRef/DnMES, and magnitude of vorticity, resulting in two main findings of a more outward-skewed streamwise velocity profile and a more enhanced secondary Dean vortex for non-Newtonian fluids in comparison to the Newtonian case at the same Dn.

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Acknowledgements

This research was supported by the KIST Institutional Program (project No. 2E29720 and No. 2E30580) provided to M.-S. Chun and by the National Research Foundation of Korea (NRF) of Korea grant (No. 2016R1A5A1009592 and No. 2017R1E1A1A01075107) provided to H.W. Jung.

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Authors and Affiliations

  1. Department of Chemical and Biological Engineering, Korea University, Seoul, 02841, Republic of Korea

    Kyu Yoon & Hyun Wook Jung

  2. Complex Fluids Laboratory, National Agenda Research Division, Korea Institute of Science and Technology (KIST), Seoul, 02792, Republic of Korea

    Kyu Yoon & Myung-Suk Chun

  3. Bio-Med Department, KIST School, Korea University of Science and Technology, Seoul, 02792, Republic of Korea

    Myung-Suk Chun

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  1. Kyu Yoon
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  2. Hyun Wook Jung
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Correspondence to Hyun Wook Jung or Myung-Suk Chun.

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Yoon, K., Jung, H.W. & Chun, MS. Secondary Dean flow characteristics of inelastic Bird-Carreau fluids in curved microchannels. Korea-Aust. Rheol. J. 32, 61–70 (2020). https://doi.org/10.1007/s13367-020-0007-4

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