Abstract
Due to growing importance of study of bio-fluids in rotational microfluidic platforms, discussion of flow of viscoplastic materials in such situations becomes very important. Bio-fluids also generally flow in soft channel microfluidic environment and therefore studying the effect of softness of channels on flow of such viscoplastic bio-fluids becomes critical. We, in the present study, investigate the effect of the rotation of the channel and yield stress of the fluid on the flow of viscoplastic material in a soft microchannel for three constitutive models viz. Bingham, Casson and Herschel–Bulkley models. It is found that the soft grafted layer, the channel rotation and the fluid yield stress play vital roles in determining the flow behaviour. We find that that larger rotational speeds tend to destabilize the flow. We also find the critical rotational speed for which secondary flow magnitude is maximum. We also find that this non-linear interaction between rotation of channel and fluid yield stress leads to the generation of multiple yield planes within the flow domain. Our study will help in obtaining good designs of rotational microfluidic platforms for studying bio-fluids with yield stress.
Similar content being viewed by others
Data availability statement
The data that supports the presesnt findings are available within the article.
References
Abhimanyu P, Kaushik P, Mondal PK, Chakraborty S (2016) Transiences in rotational electro-hydrodynamics microflows of a viscoelastic fluid under electrical double layer phenomena. J Non-Newtonian Fluid Mech 231:56–67. https://doi.org/10.1016/j.jnnfm.2016.03.006, http://www.sciencedirect.com/science/article/pii/S0377025716300179
Balasubramanian S, Kaushik P, Mondal PK (2020) Dynamics of viscoelastic fluid in a rotating soft microchannel. Phys Fluids 32(11):112003. https://doi.org/10.1063/5.0025157
Berli CL, Olivares ML (2008) Electrokinetic flow of non-newtonian fluids in microchannels. J Colloid Interface Sci 320(2):582–589. https://doi.org/10.1016/j.jcis.2007.12.032, http://www.sciencedirect.com/science/article/pii/S0021979707018280
Chanda S, Sinha S, Das S (2014) Streaming potential and electroviscous effects in soft nanochannels: towards designing more efficient nanofluidic electrochemomechanical energy converters. Soft Matt 10:7558–7568. https://doi.org/10.1039/C4SM01490A
Chang CC, Wang CY (2011) Rotating electro-osmotic flow over a plate or between two plates. Phys Rev E 84:056320. https://doi.org/10.1103/PhysRevE.84.056320
Chatzimina M, Georgiou GC, Argyropaidas I, Mitsoulis E, Huilgol R (2005) Cessation of couette and poiseuille flows of a bingham plastic and finite stopping times. J Non-Newtonian Fluid Mech 129(3):117–127. https://doi.org/10.1016/j.jnnfm.2005.07.001, http://www.sciencedirect.com/science/article/pii/S0377025705001667
Derakhshan S, Rezaee M, Sarrafha H (2017) Studying electroosmosis of viscoplastic casson fluid using Lattice–Poisson–Boltzmann method. J Mech 33(5):713–723
Erickson D, Li D (2004) Integrated microfluidic devices. Anal Chim Acta 507(1):11–26, https://doi.org/10.1016/j.aca.2003.09.019, http://www.sciencedirect.com/science/article/pii/S0003267003012261, microfluidics and Lab - On - a - Chip
Gaikwad HS, Mondal PK, Wongwises S (2018) Softness induced enhancement in net throughput of non-linear bio-fluids in nanofluidic channel under edl phenomenon. Sci Rep 8(1):7893
Gheshlaghi B, Nazaripoor H, Kumar A, Sadrzadeh M (2016) Analytical solution for transient electroosmotic flow in a rotating microchannel. RSC Adv 6:17632–17641. https://doi.org/10.1039/C5RA25325J
Harden JL, Long D, Ajdari A (2001) Influence of end-grafted polyelectrolytes on electro-osmosis along charged surfaces. Langmuir 17(3):705–715. https://doi.org/10.1021/la000594j
Kaushik P, Mandal S, Chakraborty S (2017) Transient electroosmosis of a Maxwell fluid in a rotating microchannel. Electrophoresis 38(21):2741–2748. https://doi.org/10.1002/elps.201700090https://onlinelibrary.wiley.com/doi/abs/10.1002/elps.201700090
Kaushik P, Mondal PK, Chakraborty S (2017) Rotational electrohydrodynamics of a non-Newtonian fluid under electrical double-layer phenomenon: the role of lateral confinement. Microfluid Nanofluid 21(7):122. https://doi.org/10.1007/s10404-017-1957-9
Kaushik P, Abhimanyu P, Mondal PK, Chakraborty S (2017a) Confinement effects on the rotational microflows of a viscoelastic fluid under electrical double layer phenomenon. J Non-Newtonian Fluid Mech 244:123–137. https://doi.org/10.1016/j.jnnfm.2017.04.006, http://www.sciencedirect.com/science/article/pii/S0377025717300149
Kaushik P, Chakraborty S (2017b) Startup electroosmotic flow of a viscoelastic fluid characterized by oldroyd-b model in a rectangular microchannel with symmetric and asymmetric wall zeta potentials. J Non-Newtonian Fluid Mech 247:41–52. https://doi.org/10.1016/j.jnnfm.2017.06.003, http://www.sciencedirect.com/science/article/pii/S0377025716301136
Kaushik P, Mondal PK, Kundu PK, Wongwises S (2019) Rotating electroosmotic flow through a polyelectrolyte-grafted microchannel: an analytical solution. Phys Fluids 31(2):022009. https://doi.org/10.1063/1.5086327
Kumar Mondal P, Wongwises S (2020) Magneto-hydrodynamic (mhd) micropump of nanofluids in a rotating microchannel under electrical double-layer effect. Proc Inst Mech Eng Part E: J Process Mech Eng 0954408920921697
Li SX, Jian YJ, Xie ZY, Liu QS, Li FQ (2015) Rotating electro-osmotic flow of third grade fluids between two microparallel plates. Colloids Surf A: Physicochem Eng Aspects 470:240–247. https://doi.org/10.1016/j.colsurfa.2015.01.081, http://www.sciencedirect.com/science/article/pii/S0927775715001090
Li F, Jian Y, Xie Z, Liu Y, Liu Q (2017) Transient alternating current electroosmotic flow of a Jeffrey fluid through a polyelectrolyte-grafted nanochannel. RSC Adv 7(2):782–790
Li F, Jian Y, Chang L, Zhao G, Yang L (2016) Alternating current electroosmotic flow in polyelectrolyte-grafted nanochannel. Colloids Surf B: Biointerfaces 147:234–241. https://doi.org/10.1016/j.colsurfb.2016.07.064, http://www.sciencedirect.com/science/article/pii/S0927776516305665
Liu Y, Jian Y (2019) Rotating electroosmotic flows in soft parallel plate microchannels. Appl Math Mech 40(7):1017–1028. https://doi.org/10.1007/s10483-019-2501-8
Mitsoulis E, Tsamopoulos J (2017) Numerical simulations of complex yield-stress fluid flows. Rheol Acta 56(3):231–258
Nakamura M, Sawada T (1988) Numerical study on the flow of a Non-Newtonian fluid through an axisymmetric stenosis. J Biomech Eng 110(2):137–143. https://doi.org/10.1115/1.3108418
Ng CO (2013) Combined pressure-driven and electroosmotic flow of Casson fluid through a slit microchannel. J Non-Newtonian Fluid Mech 198:1–9. https://doi.org/10.1016/j.jnnfm.2013.03.003, http://www.sciencedirect.com/science/article/pii/S0377025713000736
Ng CO, Qi C (2013) Electroosmotic flow of a viscoplastic material through a slit channel with walls of arbitrary zeta potential. Phys Fluids 25(10):103102. https://doi.org/10.1063/1.4825368
Ng CO, Qi C (2015) Electro-osmotic flow in a rotating rectangular microchannel. Proc R Soc A: Math Phys Eng Sci 471(2179):20150200
Parnas R, Cohen Y (1987) Power-law fluids in porous media. Chem Eng Commun 53(1–6):3–22. https://doi.org/10.1080/00986448708911879
Patel M, Kruthiventi] SH, Kaushik P, (2020) Rotating electroosmotic flow of power-law fluid through polyelectrolyte grafted microchannel. Colloids Surf B: Biointerfaces 193:111058. https://doi.org/10.1016/j.colsurfb.2020.111058, http://www.sciencedirect.com/science/article/pii/S0927776520302885
Qi C, Ng CO (2017a) Rotating electroosmotic flow of an Eyring fluid. Acta Mech Sin 33(2):295–315. https://doi.org/10.1063/5.0025157
Qi C, Ng CO (2017b) Rotating electroosmotic flow of viscoplastic material between two parallel plates. Colloids Surf A: PhysicochemEng Aspects 513:355–366. https://doi.org/10.1016/j.colsurfa.2016.10.066, http://www.sciencedirect.com/science/article/pii/S0927775716309359
Reshadi M, Saidi MH (2018) The role of ion partitioning in electrohydrodynamic characteristics of soft nanofluidics: inclusion of edl overlap and steric effects. Chem Eng Sci 190:443–458. https://doi.org/10.1016/j.ces.2018.05.049, http://www.sciencedirect.com/science/article/pii/S0009250918303464
Sadeghi A (2018) Theoretical modeling of electroosmotic flow in soft microchannels: a variational approach applied to the rectangular geometry. Phys Fluids 30(3):032004. https://doi.org/10.1063/5.0025157
Schmid-Schönbein H, Wells RE (1971) Rheological properties of human erythrocytes and their influence upon the “anomalous” viscosity of blood. Ergebnisse der Physiologie Reviews of Physiology, vol 63. Springer, Berlin Heidelberg, Berlin, Heidelberg, pp 146–219
Si DQ, Jian YJ, Chang L, Liu QS (2016) Unsteady rotating electroosmotic flow through a slit microchannel. J Mech 32(5):603–611. https://doi.org/10.1063/5.0025157
Stoltz JF, Singh M, Riha P (1999) Hemorheology in practice, vol 30. IOS Press, London
Stone H, Stroock A, Ajdari A (2004) Engineering flows in small devices: microfluidics toward a lab-on-a-chip. Ann Rev Fluid Mech 36(1):381–411. https://doi.org/10.1063/5.0025157
Tang G, Li X, He Y, Tao W (2009) Electroosmotic flow of non-newtonian fluid in microchannels. J Non-Newtonian Fluid Mech 157(1):133–137. https://doi.org/10.1016/j.jnnfm.2008.11.002, https://doi.org/10.1063/5.00251579
Walawender WP, Chen TY, Cala DF (1975) An approximate casson fluid model for tube flow of blood. Biorheology 12:111–119. http://www.sciencedirect.com/science/article/pii/S0021979707018280
Xie ZY, Jian YJ (2014) Rotating electroosmotic flow of power-law fluids at high zeta potentials. Colloids Surf A: Physicochem Eng Aspects 461:231–239. http://www.sciencedirect.com/science/article/pii/S0021979707018280
Zhao C, Yang C (2011) An exact solution for electroosmosis of non-newtonian fluids in microchannels. J Non-Newtonian Fluid Mech 166(17):1076–1079. https://doi.org/10.1016/j.jnnfm.2011.05.006, http://www.sciencedirect.com/science/article/pii/S0021979707018280
Zhao C, Zholkovskij E, Masliyah JH, Yang C (2008) Analysis of electroosmotic flow of power-law fluids in a slit microchannel. J Colloid Interface Sci 326(2):503–510. https://doi.org/10.1016/j.jcis.2008.06.028, http://www.sciencedirect.com/science/article/pii/S0021979707018280
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Patel, M., Kruthiventi, S.S.H. & Kaushik, P. Polyelectrolyte layer grafting effect on the rotational electroosmotic flow of viscoplastic material. Microfluid Nanofluid 25, 11 (2021). https://doi.org/10.1007/s10404-020-02412-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10404-020-02412-9