Effect of ‎C‎ross-Section on the Mixing of Liquid Species in Helix Micromixers, A Numerical Approach‎

الموضوعات : مجله بین المللی ریاضیات صنعتی

T. Dehgani ¹ (Department of Mechanical Engineering; University of Mohaghegh Ardabili, Ardabil, Iran.)
R. Pirkhoshghiafe ² (Department of Mechanical Engineering; Tabriz University, Tabriz, Iran.)
P. Balazadeh ³ (Department of Mechanical Engineering; University of Mohaghegh Ardabili, Ardabil, Iran.)
F. Sadegh Moghanlou ⁴ (Department of Mechanical Engineering; University of Mohaghegh Ardabili, Ardabil, Iran.)

تاريخ الإرسال : 19 الخميس , جمادى الثانية, 1441 تاريخ التأكيد : 23 الثلاثاء , محرم, 1443 تاريخ الإصدار : 21 الخميس , ذو القعدة, 1442

الکلمات المفتاحية: Mixing Index, Micromixer, numerical method, Laminar flow, Secondary flow,

ملخص المقالة :

Micromixers are an important part of microfluidics systems. In the present work, mixing was enhanced through the three helix types of micromixers. As a result of Dean vortices, a mixing index of 99% obtained at a very short length of the micromixers for the Reynolds number of 10. It is also obtained that the micromixer with rectangular cross-section showed better enhancement compared to the circular and triangular cross-section.

المصادر:

[1] F. Sadegh Moghanlou, S. Noorzadeh, M. Ataei, M. Vajdi, M. Shahedi Asl, E. Esmaeilzadeh, Experimental investigation of heat transfer and pressure drop in a minichannel heat sink using Al2O3 and TiO2water nanoluids, J. Brazilian Soc. Mech. Sci. Eng. 42 (2020) 315. http://dx.doi.org/10.1007/s40430-020-02403-5/.
[2] M. Fattahi, K. Vaferi, M. Vajdi, F. Sadegh Moghanlou, A. Sabahi Namini, M. Shahedi Asl, Aluminum nitride as an alternative ceramic for fabrication of microchannel heat exchangers, A numerical study, Ceram. Int. 46 (2020). http://dx.doi.org/10.1016/j. ceramint.2020.01.195/.
[3] C. Y. Lee, W. T. Wang, C. C. Liu, L. M. Fu, Passive mixers in microfluidic systems, A review, Chem. Eng. J. 288 (2016) 146-160. http://dx.doi.org/10.1016/j.cej.2015.10.122/.
[4] T. Adibi, S. E. Razavi, O. Adibi, M. Vajdi, F. Sadegh Moghanlou, The response of nano-ceramic doped fluids in heat convection models, A characteristics-based numerical approach, Sci. Iran. In press (2021).
[5] M. Ataei, F. Sadegh Moghanlou, S. Noorzadeh, M. Vajdi, M. Shahedi Asl, Heat transfer and Pressure drop in a minichannel heat sink, Using hybrid Al2O3/TiO2water nanofluid, Heat Mass Transf. (2020).
[6] F. S. Moghanlou, A. S. Khorrami, E. Esmaeilzadeh, H. Aminfar, Experimental study on electrohydrodynamically induced heat transfer enhancement in a minichannel, Exp. Therm. Fluid Sci. 59 (2014) 24-31

[7] S. Nekahi, M. Vajdi, F. Sadegh Moghan
lou,	K. Vaferi,	A. Motallebzadeh,	M.

zen, U. Aydemir, J. Sha, M. Shahedi Asl, TiB2 SiC-based ceramics as alternative efficient micro heat exchangers, Ceram. Int. (2019). http://dx.doi.org/10.1016/j.ceramint.2019.06.150/.

[8] M.	Vajdi,	F.	Sadegh	Moghanlou,	E.
Ranjbarpour Niari, M. Shahedi Asl, M.
Shokouhimehr,	Heat transfer and pres

sure drop in a ZrB2 microchannel heat sink, A numerical approach, Ceram. Int. (2019). http://dx.doi.org/10.1016/j. ceramint.2019.09.146/.
[9] F. Sadegh Moghanlou, A. Shams Khorrami, E. Esmaeilzadeh, M. Vajdi, Effect of strong electric field on heat transfer enhancement in a mini channel containing Al2O3/oil nanofluid, J. Brazilian Soc. Mech. Sci. Eng. 43 (2021) 149. http://dx.doi. org/10.1007/s40430-021-02869-x/.
[10] G. Cai, L. Xue, H. Zhang, J. Lin, A Review on Micromixers, Micromachines 8 (2017) 274. http://dx.doi.org 10.3390/mi8090274/.
[11] H. M. Xia, S. Y. M. Wan, C. Shu, Y. T. Chew, Chaotic micromixers using twolayer crossing channels to exhibit fast mixing at low Reynolds numbers, Lab Chip. 5 (2005) 748. http://dx.doi.org/10.1039/b502031j/

[12] S. P. Sullivan, B. S. Akpa, S. M. Matthews, A. C. Fisher, L. F. Gladden, M. L. Johns, Simulation of miscible diffusive mixing in microchannels, Sensors Actuators B Chem. 123 (2007) 1142-1152. http://dx.doi.org/10.1016/j.snb.2006.10.025/.
[13] Z. Chen, M. R. Bown, B. OSullivan, J. M. MacInnes, R. W. K. Allen, M. Mulder, M. Blom, R. vant Oever, Performance analysis of a folding flow micromixer, Microfluid, Nanofluidics 6 (2009) 763-774. http://dx. doi.org/10.1007/s10404-008-0351-z/
[14] N. T. Nguyen, Micromixers, fundamentals, design and fabrication, William Andrew, 2011.
[15] R. L. Webb, N. H. Kim, Principles enhanced heat transfer, CRC Press, 2005.
[16] M. Sakkaki, F. Sadegh Moghanlou, S. Parvizi, H. Baghbanijavid, A. Babapoor, M. Shahedi Asl, Phase change materials as quenching media for heat treatment of 42CrMo4 steels, J. Cent. South Univ, (2020).
[17] V. Hessel, H. Lwe, F. Schnfeld, Micromixersa review on passive and active mixing principles, Chem. Eng. Sci. 60 (2005) 2479-2501. http://dx.doi.org/10.1016/j.ces.2004.11.033/
[18] G. Kunti, A. Bhattacharya, S. Chakraborty, Rapid mixing with high-throughput in a semi-active semi-passive micromixer, Electrophoresis, 38 (2017) 1310-1317. http://dx.doi.org/10.1002/elps.201600393/

[19] R. R. Gidde, P. M. Pawar, B. P. Ronge, P. V. Jadhav, CFD Based Analysis of Simple TJunction and Y-Junction Micro Mixers with Different Obstacles, in: Techno-Societal 2018, Springer International Publishing, Cham, 2020: pp. 357-365. http://dx.doi. org/10.1007/978-3-030-16962-6_37/
[20] T. Dehghani, F. Sadegh Moghanlou, M. Vajdi, M. Shahedi Asl, M. Shokouhimehr, M. Mohammadi, Mixing enhancement through a micromixer using topology optimization, Chem. Eng. Res. Des. 161 (2020) 187-196. http://dx.doi.org/10.1016/j. cherd.2020.07.008/
[21] Z. Hajati, F. Sadegh Moghanlou, M. Vajdi, E. Razavi, S. Matin, Fluid Structure Interaction of blood flow around a vein valve, BioImpacts, (2020).

[22] M. Sakkaki, F. Sadegh Moghanlou, M. Vajdi, F. Pishgar, M. Shokouhimehr, M. Shahedi Asl, The effect of thermal contact resistance on the temperature distribution in a WC made cutting tool, Ceram. Int. 45 (2019). http://dx.doi.org/10.1016/j.ceramint.2019.07.241/

[23] F. Sadegh Moghanlou, M. Vajdi, J. Sha, A. Motallebzadeh, M. Shokouhimehr, M. Shahedi Asl, A numerical  approach to the heat transfer in monolithic and SiC reinforced HfB ceramic cutting tools, Ceram. Int. (2019). http://dx.doi.org/10.1016/j.ceramint.2019.05.095/
[24] F. Sadegh Moghanlou, M. Vajdi, J. Sha, A. Motallebzadeh, M. Shokouhimehr, M. Shahedi Asl, A numerical approach to the heat transfer in monolithic and SiC reinforced HfB2, ZrB2 and TiB2 ceramic cutting tools, Ceram. Int. 45 (2019) 15892-15897. http://dx.doi.org/10.1016/j.ceramint.2019.05.095/
[25] S. Nekahi, K. Vaferi, M. Vajdi, F. Sadegh Moghanlou, M. Shahedi Asl, M. Shokouhimehr, A numerical approach to the heat transfer and thermal stress in a gas turbine stator blade made of HfB2, Ceram. Int. (2019). http://dx.doi.org/10.1016/j.ceramint.2019.08.112/
[26] K. Vaferi, S. Nekahi, M. Vajdi, F. Sadegh Moghanlou, M. Shokouhimehr, A. Motallebzadeh, J. Sha, M. Shahedi Asl, Heat transfer, thermal stress and failure analyses in a TiB2 gas turbine stator blade, Ceram. Int. 45 (2019). http://dx.doi.org/10.1016/j.ceramint.2019.06.184/
[27] F. Sadegh Moghanlou, M. Vajdi, M. Sakkaki, S. Azizi, Effect of graphite die geometry on energy consumption during spark plasma sintering of zirconium diboride, Synth. Sinter. 1 (2021) 54-61. http://dx.doi.org/10.53063/synsint.2021.117/
[28] M. Vajdi, S. Mohammad Bagheri, F. Sadegh Moghanlou, A. Shams Khorrami, Numerical investigation of solar collectors as a potential source for sintering of ZrB2, Synth. Sinter. 1 (2021) 76-84. http://dx.doi.org/10.53063/synsint.2021.128/
[29] X. Chen, T. Li, H. Zeng, Z. Hu, B. Fu, Numerical and experimental investigation on micromixers with serpentine microchannels, Int. J. Heat Mass Transf. 98 (2016) 131-140. http://dx.doi.org/10.1016/j. ijheatmasstransfer.2016.03.041/
[30] X. Chen, T. Li, A novel passive micromixer designed by applying an optimization algorithm to the zigzag microchannel, Chem. Eng. J. 313 (2017) 1406-1414. http://dx.doi.org/10.1016/j.cej.2016.11.052/
[31] L. Wang, S. Ma, X. Wang, H. Bi, X. Han, Mixing enhancement of a passive microfluidic mixer containing triangle baffles, AsiaPacific J. Chem. Eng. 9 (2014) 877-885. http://dx.doi.org/10.1002/apj.1837/

[32] R. T. Tsai, C. Y. Wu, An efficient micromixer based on multidirectional vortices due to baffles and channel curvature, Biomicrofluidics 5 (2011) 014103. http://dx.doi.org/10.1063/1.3552992/

[33] X. Chen, Z. Zhang, D. Yi, Z. Hu, Numerical studies on different two-dimensional micromixers basing on a fractal-like tree network, Microsyst, Technol. 23 (2017) 755-763. http://dx.doi.org/10.1007/ s00542-015-2742-x/
[34] R. H. Liu, M. A. Stremler, K. V. Sharp, M. G. Olsen, J. G. Santiago, R. J. Adrian, H. Aref, D. J. Beebe, Passive mixing in a threedimensional serpentine microchannel, J. Microelectromechanical Syst. 9 (2000) 190-197. http://dx.doi.org/10.1109/84.846699/

[35] C. Kleinstreuer,	J. Li,	J. Koo, delivery,	Mi Int.
crofluidics	of	nano-drug

 

J. Heat Mass Transf. 51 (2008) 5590-5597. http://dx.doi.org/10.1016/j. ijheatmasstransfer.2008.04.043/
[36] X. Chen, J. Shen, Numerical analysis of mixing behaviors of two types of E-shape micromixers, Int. J. Heat Mass Transf. 106 (2017) 593-600. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2016.09.034/
[37] S. Wong, M. Ward, C. Wharton, Micro Tmixer as a rapid mixing micromixer, Sensors Actuators B Chem. 100 (2004) 359-379. http://dx.doi.org/10.1016/j.snb.2004.02.008/
[38] J. Judy, D. Maynes, B. W. Webb, Characterization of frictional pressure drop for liquid flows through microchannels, Int. J. Heat Mass Transf. 45 (2002) 3477-3489. http://dx.doi.org/10.1016/S0017-9310(02)00076-5/
[39] P. V. Danckwerts, The definition and measurement of some characteristics of mixtures,Appl. Sci. Res. 3 (1952) 279-296. http: //dx.doi.org/10.1007/BF03184936/