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Numerical study of rotating electro-osmotic flow of double layers with a layer of fractional second-order fluid in a microchannel. (English) Zbl 1448.76185
Summary: In order to study the mass separation or mixture of electro-osmotic flow (EOF) for biological or chemical fluids with viscoelastic characteristics, the EOF of two layers consisting of Newtonian fluid and fractional second-order fluid in a rotating frame in parallel microchannel is investigated. The numerical solutions are obtained by finite difference method. Two interesting phenomena can be found. One of them is that reverse flow can be found near the interface as the rotation velocity is big enough. Another is that the streamwise velocity will increase firstly and decrease subsequently before the steady flow reaches on account of the existence of angular velocity.
MSC:
76W05 Magnetohydrodynamics and electrohydrodynamics
76A10 Viscoelastic fluids
76U05 General theory of rotating fluids
76T06 Liquid-liquid two component flows
76M20 Finite difference methods applied to problems in fluid mechanics
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[1] Tang, G. H.; Li, X. F.; He, Y. L., Electroosmotic flow of non-Newtonian fluid in microchannels, J. Non-Newton. Fluid Mech., 157, 12, 133-137 (2009) · Zbl 1274.76379
[2] Bhadri, Srinivas, Electroosmotic flow of a power law fluid in an elliptic microchannel, Colloids Surf. A, 492, 144-151 (2016)
[3] Deng, S. Y.; Jian, Y. J.; Bi, Y. H., Unsteady electroosmotic flow of power-law fluid in a rectangular microchannel, Mech. Res. Commun., 39, 1, 9-14 (2012) · Zbl 1291.76352
[4] Jian, Y. J.; Liu, Q. S.; Yang, L. G., AC Electroosmotic flow of generalized maxwell fluids in a rectangular microchannel, Fuel Energy Abstr., 166, 2122, 1304-1314 (2011) · Zbl 1282.76051
[5] Wang, X.; Qi, H.; Yu, B., Analytical and numerical study of electroosmotic slip flows of fractional second grade fluids, Commun. Nonlinear Sci. Numer. Simul., 50, 77-87 (2017)
[6] Chang, C. C.; Wang, C. Y., Rotating electro-osmotic flow over a plate or between two plates, Phys. Rev. E, 84, 2, Article 056320 pp. (2011)
[7] Li, S. X.; Jian, Y. J.; Xie, Z. Y., Rotating electro-osmotic flow of third grade fluids between two microparallel plates, Colloids Surf. A, 470, 240-247 (2015)
[8] Xie, Z. Y.; Jian, Y. J., Rotating electroosmotic flow of power-law fluids at high zeta potentials, Colloids Surf. A, 461, 231-239 (2014)
[9] Cheng, Q.; Ng, C. O., Rotating electroosmotic flow of an eyring fluid, Acta Mech. Sinica, 33, 02, 295-315 (2017) · Zbl 1372.76113
[10] Si, D. Q.; Jian, Y. J., Electromagnetohydrodynamic (EMHD) micropump of Jeffrey fluids through two parallel microchannels with corrugated walls, J. Phys. D: Appl. Phys., 48, 8, Article 085501 pp. (2015)
[11] Liang, P. C.; Wang, S. W.; Zhao, M. L., Numerical study of rotating electroosmotic flow of Oldroyd-B fluid in a microchannel with slip boundary condition, Chinese J. Phys. (2020), (prepublish)
[12] Wang, X. P.; Xu, H. Y.; Qi, H. T., Numerical analysis for rotating electro-osmotic flow of fractional maxwell fluids, Appl. Math. Lett., 103, Article 106179 pp. (2020) · Zbl 1450.76039
[13] Gao, Y. D.; Wong, T. N.; Yang, C., Two-fluid electroosmotic flow in microchannels, J. Colloid Interface Sci., 284, 1, 306-314 (2005)
[14] Gao, Y. D.; Wong, T. N.; Chai, J. C., Numerical simulation of two-fluid electroosmotic flow in microchannels, Int. J. Heat Mass Transfer, 48, 25/26, 5103-5111 (2005) · Zbl 1188.76278
[15] Choi, W. S.; Sharma, A.; Qian, S. Z., On steady two-fluid electroosmotic flow with full interfacial electrostatics, J. Colloid Interface Sci., 357, 2, 521-526 (2011)
[16] Shit, G. C.; Mondal, A.; Sinha, A., Two-layer electro-osmotic flow and heat transfer in a hydrophobic micro-channel with fluid-solid interfacial slip and zeta potential difference, Colloids Surf. A, 535-549 (2016)
[17] Su, J.; Jian, Y. J.; Chang, L., Transient electro-osmotic and pressure driven flows of two-layer fluids, Acta Mech. Sinica, 29, 4, 534-542 (2013) · Zbl 1346.76212
[18] Zheng, J. X.; Jian, Y. J., Rotating electroosmotic flow of two-layer fluids through a microparallel channel, Int. J. Mech. Sci., 136, 293-302 (2017)
[19] Shen, F.; Tan. Y. H. Zhao, W. C., The Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model, Nonlinear Anal. RWA, 7, 5, 1072-1080 (2006) · Zbl 1113.76016
[20] Jian, Y. J.; Su, J.; Chang, L., Transient electroosmotic flow of general maxwell fluids through a slit microchannel, Z. Angew. Math. Phys., 65, 3, 435-447 (2014) · Zbl 1302.76011
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