Determination of velocity profiles of Bird-Carreau fluids in curvilinear microchannels using random sample consensus

Kyu Yoon; Hyun Wook Jung; Myung-Suk Chun

Korea-Australia Rheology Journal, Vol.32, No.2, 159-164, May, 2020

DOI10.1007/s13367-020-0015-4 Export Citation

Determination of velocity profiles of Bird-Carreau fluids in curvilinear microchannels using random sample consensus

Kyu Yoon^{1, 2}, Hyun Wook Jung^{1, †}, and Myung-Suk Chun^{2, 3, †}

¹Department of Chemical and Biological Engineering, Korea University, Seongbuk-gu, Seoul 02841, Republic of Korea
²Complex Fluids Laboratory, National Agenda Research Division, Korea Institute of Science and Technology (KIST), Seongbuk-gu, Seoul 02792, Republic of Korea
³Bio-Med Department, KIST School, Korea University of Science and Technology, Seoul 02792, Republic of Korea

E-mail:,

Flow features of rheologically complex fluids inside curved microchannels should be meaningfully scrutinized for effective mixing, sorting, and manipulation of nano- and micro-sized colloids or particles. In this study, a particle streak velocimetry method with coordinate transformation is incorporated to depict experimentally the axial velocity profiles of Newtonian and non-Newtonian (Bird-Carreau, BC) fluids in a curvilinear microchannel under constant flow rate conditions. Theoretical velocity distributions for both fluids are favorably substantiated from experimental observations that employ a random sample consensus (RanSAC) algorithm under various channel geometric conditions, demonstrating the good agreement between experiments and simulations previously developed. It is confirmed that the BC fluid showed blunt and non-parabolic profiles in comparison to the Newtonian case at a low Dean number. The suggested algorithm and method for accurately observing microscale flow fields provide useful insights into the elaborate manipulation and processing of non-Newtonian fluids in curved channel devices.

Keywords:curved microchannel;Bird-Carreau fluid;particle streak velocimetry;micro flows;RanSAC

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Nekoubin N, J. Non-Newton. Fluid Mech., 260, 54 (2018)
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Paul PH, Garguilo MG, Rakestraw CJ, Anal. Chem., 70, 2459 (1998)
Shen S, Kou L, Zhang X, Wang D, Niu Y, Wang J, Adv. Theory Simul., 1, 170003 (2018)
Stone HA, Stroock AD, Ajdari A, Annu. Rev. Fluid Mech., 36, 381 (2004)
Thangam S, Hur N, J. Fluid Mech., 217, 421 (1990)
Volpe A, Paie P, Ancona A, Osellame R, Lugara PM, Pascazio G, J. Phys. D-Appl. Phys., 50, 255601 (2017)
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Yun JH, Chun MS, Jung HW, Phys. Fluids, 22, 052004 (2010)

[Related Articles]

[1] Adrian RJ, Annu. Rev. Fluid Mech., 23, 261 (1991)

[2] Bayat P, Rezai P, Sci. Rep., 7, 13655 (2017)

[3] Bird RB, Armstrong RC, Hassager O, Dynamics of Polymeric Liquids: Vol. 1. Fluid Mechanics, 1987.

[4] Chun MS, Lee S, Colloids Surf. A: Physicochem. Eng. Asp., 267, 86 (2005)

[5] Chun MS, Lee TS, Lee K, Korea-Aust. Rheol. J., 17(4), 207 (2005)

[6] De Vriend HJ, J. Fluid Mech., 107, 423 (1981)

[7] Dean WR, Philos. Mag., 4, 208 (1927)

[8] Degre G, Joseph P, Tabeling P, Appl. Phys. Lett., 89, 024104 (2006)

[9] Di Carlo D, Irimia D, Tompkins RG, Toner M, Proc. Natl. Acad. Sci. U. S. A., 104, 18892 (2007)

[10] Fischler MA, Bolles RC, Commun. ACM, 24, 381 (1981)

[11] Garcia M, Pennathur S, Microfluid. Nanofluid., 23, 63 (2019)

[12] Khodaparast S, Borhani N, Tagliabue G, Thome JR, Exp. Fluids, 54, 1474 (2013)

[13] Lima R, Wada S, Tsubota K, Yamaguchi T, Meas. Sci. Technol., 17, 797 (2006)

[14] Lochab V, Yee A, Yoda M, Conlisk AT, Prakash S, Microfluid. Nanofluid., 23, 134 (2019)

[15] McClain MA, Culbertson CT, Jacobson SC, Allbritton NL, Sims CE, Ramsey JM, Anal. Chem., 75, 5646 (2003)

[16] Nekoubin N, J. Non-Newton. Fluid Mech., 260, 54 (2018)

[17] Nivedita N, Ligrani P, Papautsky I, Sci. Rep., 7, 44072 (2017)

[18] Patankar SV, Numerical Heat Transfer and Fluid Flow, 1980.

[19] Paul PH, Garguilo MG, Rakestraw CJ, Anal. Chem., 70, 2459 (1998)

[20] Shen S, Kou L, Zhang X, Wang D, Niu Y, Wang J, Adv. Theory Simul., 1, 170003 (2018)

[21] Stone HA, Stroock AD, Ajdari A, Annu. Rev. Fluid Mech., 36, 381 (2004)

[22] Thangam S, Hur N, J. Fluid Mech., 217, 421 (1990)

[23] Volpe A, Paie P, Ancona A, Osellame R, Lugara PM, Pascazio G, J. Phys. D-Appl. Phys., 50, 255601 (2017)

[24] Yang WJ, Handbook of Flow Visualization, 1989.

[25] Yoon K, Jung HW, Chun MS, Rheol. Acta, 56(11), 915 (2017)

[26] Yoon K, Jung HW, Chun MS, Korea-Aust. Rheol. J., 32(1), 61 (2020)

[27] Yun JH, Chun MS, Jung HW, Phys. Fluids, 22, 052004 (2010)