Abstract
Branching channels are commonly emerged in a considerable variety of engineering applications, in which most of the fluids present non Newtonian behavior, such as in chemical processes. It is noted that in the material forming process, when one suspends nanoparticles in a basic non Newtonian fluid, a completely new non Newtonian fluid is formed with different rheological characteristics from the former ones. In our present numerical research, considering the side branches inclined at varying angles, we focus on the fluid flow and heat transfer of the laminar power-law nanofluid in a rectangular branching channel under the influences of generalized Reynolds number. Both the consistency coefficient and power-law index of the non Newtonian nanofluid, different from those of the base fluid, are described by empirical formula, dependent on the nanoparticle quantity. Finite element method is applied in the research. It is found that a smaller branch angle α can cause a larger fluctuation in pressure near the branched region. Furthermore, negative pressures exist both in the main and side branch with some certain inclination angle. Above all, the new extensive results of velocity contours, temperature, concentration contours along with pressure drop of the changing rheological models provide detailed information for studies on non Newtonian nanofluids in many intricate industrial applications.
Funding source: Fundamental Research Funds for the Central Universities
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: The work was supported by the Fundamental Research Funds for the Central Universities.
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Conflict of interest statement: Authors declared that there is no conflict of interest.
References
[1] R. E. Hayes, K. Nandakumar, and H. Nasr-El-Din, “Steady laminar flow in a 90-degree planar branch,” Comput. Fluids, vol. 17, pp. 537–553, 1989. https://doi.org/10.1016/0045-7930(89)90027-3.Search in Google Scholar
[2] M. Dejam, “Dispersion in non-Newtonian fluid flows in a conduit with porous walls,” Chem. Eng. Sci., vol. 189, pp. 296–310, 2018. https://doi.org/10.1016/j.ces.2018.05.058.Search in Google Scholar
[3] G. Bugliarello and G. C. Hsiao, “Phase separation in suspensions flowing through bifurcations: a simplified hemodynamics model,” Science, vol. 143, pp. 469–471, 1964. https://doi.org/10.1126/science.143.3605.469.Search in Google Scholar
[4] N. S. Lynn, V. G. Fox, and L. W. Ross, “Computation of fluid-dynamical contributions to atherosclerosis at arterial bifurcations,” Biorheology, vol. 9, pp. 61–66, 1972. https://doi.org/10.3233/bir-1972-9203.Search in Google Scholar
[5] B. J. Kirby, Micro- and Nanoscale Fluid Mechanics: Transport in Microfluidic Devices, New York, Cambridge University Press, 2010.10.1017/CBO9780511760723Search in Google Scholar
[6] J. Huang, L. J. Weber, and Y. G. Lai, “Three-dimensional numerical study of flows in open-channel junctions,” J. Hydraul. Eng., vol. 128, pp. 268–280, 2002. https://doi.org/10.1061/(asce)0733-9429(2002)128:3(268).10.1061/(ASCE)0733-9429(2002)128:3(268)Search in Google Scholar
[7] P. Neofytou, C. Housiadas, S. G. Tsangaris, A. K. Stubos, and D. I. Fotiadis, “Newtonian and Power-Law fluid flow in a T-junction of rectangular ducts,” Theor. Comput. Fluid Dynam., vol. 28, pp. 233–256, 2014. https://doi.org/10.1007/s00162-013-0311-4.Search in Google Scholar
[8] D. Vigolo, I. M. Griffiths, S. Radi, and H. A. Stone, “An experimental and theoretical investigation of particle-wall impacts in a T-junction,” J. Fluid Mech., vol. 727, pp. 236–255, 2013. https://doi.org/10.1017/jfm.2013.200.Search in Google Scholar
[9] V. Khandelwal, A. Dhiman, and L. Baranyi, “Laminar flow of non-Newtonian shear-thinning fluids in a T-channel,” Comput. Fluids, vol. 108, pp. 79–91, 2015. https://doi.org/10.1016/j.compfluid.2014.11.030.Search in Google Scholar
[10] A. Maurya, N. Tiwari, and R. P. Chhabra, “Effect of inclination angle on the forced convective flow of a power-law fluid in a 2-D planar branching channel,” Int. J. Heat Mass Tran., vol. 134, pp. 768–783, 2019. https://doi.org/10.1016/j.ijheatmasstransfer.2019.01.055.Search in Google Scholar
[11] S. U. S. Choi and J. A. Eastman, “Enhancing thermal conductivity of fluids with nanoparticles,” in International Mechanical Engineering Congress and Exposition, 1995, vol. 11, pp. 99–105.Search in Google Scholar
[12] G. Sowmya, B. J. Gireesha, I. L. Animasaun, et al.., “Significance of buoyancy and Lorentz forces on water-conveying iron(III) oxide and silver nanoparticles in a rectangular cavity mounted with two heated fins: heat transfer analysis,” J. Therm. Anal. Calorim., vol. 144, pp. 2369–2384, 2021. https://doi.org/10.1007/s10973-021-10550-7.Search in Google Scholar
[13] D. S. Cimpean, M. A. Sheremet, and I. Pop, “Mixed convection of hybrid nanofluid in a porous trapezoidal chamber,” Int. Commun. Heat Mass Tran., vol. 116, p. 104627, 2020. https://doi.org/10.1016/j.icheatmasstransfer.2020.104627.Search in Google Scholar
[14] S. R. Hosseini, M. Sheikholeslami, M. Ghasemian, and D. D. Ganji, “Nanofluid heat transfer analysis in a microchannel heat sink (MCHS) under the effect of magnetic field by means of KKL model,” Powder Technol., vol. 324, pp. 36–47, 2018. https://doi.org/10.1016/j.powtec.2017.10.043.Search in Google Scholar
[15] S. Rashidi, S. Akar, M. Bovand, and R. Ellahi, “Volume of fluid model to simulate the nanofluid flow and entropy generation in a single slope solar still,” Renew. Energy, vol. 115, pp. 400–410, 2018. https://doi.org/10.1016/j.renene.2017.08.059.Search in Google Scholar
[16] H. M. F. Rabbi and A. Z. Sahin, “Performance improvement of solar still by using hybrid nanofluids,” J. Therm. Anal. Calorim., vol. 143, pp. 1345–1360, 2021. https://doi.org/10.1007/s10973-020-10155-6.Search in Google Scholar
[17] M. Sheikholeslami, A. Arabkoohsar, and M. Jafaryar, “Impact of a helical-twisting device on the thermal-hydraulic performance of a nanofluid flow through a tube,” J. Therm. Anal. Calorim., vol. 139, no. 5, pp. 3317–3329, 2020. https://doi.org/10.1007/s10973-019-08683-x.Search in Google Scholar
[18] M. H. Esfe, M. Bahiraei, and A. Mir, “Application of conventional and hybrid nanofluids in different machining processes: a critical review,” Adv. Colloid Interface Sci., vol. 282, p. 102199, 2020. https://doi.org/10.1016/j.cis.2020.102199.Search in Google Scholar PubMed
[19] T. Elnaqeeb, I. L. Animasaun, and N. A. Shah, “Ternary-hybrid nanofluids: significance of suction and dual-stretching on three-dimensional flow of water conveying nanoparticles with various shapes and densities,” Z. Naturforsch., vol. 76, no. 3, pp. 231–243, 2021. https://doi.org/10.1515/zna-2020-0317.Search in Google Scholar
[20] F. Selimefendigil and H. F. Öztop, “Numerical analysis and ANFIS modeling for mixed convection of CNT-water nanofluid filled branching channel with an annulus and a rotating inner surface at the junction,” Int. J. Heat Mass Tran., vol. 127, pp. 583–599, 2018. https://doi.org/10.1016/j.ijheatmasstransfer.2018.07.038.Search in Google Scholar
[21] R. J. Poole, A. Linder, and M. A. Alves, “Viscoelastic secondary flows in serpentine channels,” J. Non-Newtonian Fluid Mech., vol. 201, pp. 10–16, 2013. https://doi.org/10.1016/j.jnnfm.2013.07.001.Search in Google Scholar
[22] Z. Wang, X. Wang, G. Xu, S. Cheng, and T. Zeng, “Free vibration of two-directional functionally graded beams,” Compos. Struct., vol. 135, pp. 191–198, 2016. https://doi.org/10.1016/j.compstruct.2015.09.013.Search in Google Scholar
[23] S. B. Islami, B. Dastvareh, and R. Gharraei, “An investigation on the hydrodynamic and heat transfer of nanofluid flow, with non-Newtonian base fluid, in micromixers,” Int. J. Heat Mass Tran., vol. 78, pp. 917–929, 2014. https://doi.org/10.1016/j.ijheatmasstransfer.2014.07.022.Search in Google Scholar
[24] H. Eshgarf and M. Afrand, “An experimental study on rheological behavior of non-Newtonian hybrid nano-coolant for application in cooling and heating systems,” Exp. Therm. Fluid Sci., vol. 76, pp. 221–227, 2016. https://doi.org/10.1016/j.expthermflusci.2016.03.015.Search in Google Scholar
[25] M. Hojjat, S. Gh. Etemad, R. Bagheri, and J. Thibault, “Rheological characteristics of non-Newtonian nanofluids: experimental investigation,” Int. Commun. Heat Mass Tran., vol. 38, pp. 144–148, 2011. https://doi.org/10.1016/j.icheatmasstransfer.2010.11.019.Search in Google Scholar
[26] Y. Zhuang and Q. Zhu, “Numerical study on combined buoyancy-Marangoni convection heat and mass transfer of power-law nanofluids in a cubic cavity filled with a heterogeneous porous medium,” Int. J. Heat Fluid Flow, vol. 71, pp. 39–54, 2018. https://doi.org/10.1016/j.ijheatfluidflow.2018.03.006.Search in Google Scholar
[27] B. Li, W. Zhang, B. Bai, and Y. Lin, “On rheological characteristics of non-Newtonian nanofluids in the material forming process,” Microfluid Nanofluidics, vol. 20, p. 154, 2016. https://doi.org/10.1007/s10404-016-1818-y.Search in Google Scholar
[28] S. B. Islami, B. Dastvareh, and R. Gharraei, “An investigation on the hydrodynamic and heat transfer of nanofluid flow, with non-Newtonian base fluid, in micromixers,” Int. J. Heat Mass Tran., vol. 78, pp. 917–929, 2014. https://doi.org/10.1016/j.ijheatmasstransfer.2014.07.022.Search in Google Scholar
[29] Y. Song, B. D. Obideyi, N. A. Shah, I. L. Animasaun, Y. M. Mahrous, and J. D. Chung, “Significance of haphazard motion and thermal migration of alumina and copper nanoparticles across the dynamics of water and ethylene glycol on a convectively heated surface,” Case Stud. Therm. Eng., vol. 26, p. 101050, 2021. https://doi.org/10.1016/j.csite.2021.101050.Search in Google Scholar
[30] A. S. Oke, I. L. Animasaun, W. N. Mutuku, M. Kimathi, N. A. Shah, and S. Saleem, “Significance of Coriolis force, volume fraction, and heat source/sink on the dynamics of water conveying 47 nm alumina nanoparticles over a uniform surface,” Chin. J. Phys., vol. 71, pp. 716–727, 2021. https://doi.org/10.1016/j.cjph.2021.02.005.Search in Google Scholar
[31] Y. Lin, B. Li, and L. Zheng, “Particle shape and radiation effects on Marangoni boundary layer flow and heat transfer of copper-water nanofluid driven by an exponential temperature,” Powder Technol., vol. 301, pp. 379–386, 2016. https://doi.org/10.1016/j.powtec.2016.06.029.Search in Google Scholar
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Articles in the same Issue
- Frontmatter
- Dynamical Systems & Nonlinear Phenomena
- Positron nonextensivity effect on the propagation of dust ion acoustic Gardner waves
- Thermal entry flow problem for Giesekus fluid inside an axis-symmetric tube through isothermal wall condition: a comparative numerical study between exact and approximate solution
- Ion-acoustic solitary structures at the acoustic speed in a collisionless magnetized nonthermal dusty plasma
- Exact Beltrami flows in a spherical shell
- Hydrodynamics
- Insight into the dynamics of non-Newtonian carboxy methyl cellulose conveying CuO nanoparticles: significance of channel branch angle and pressure drop
- Analytical and numerical study for oscillatory flow of viscoelastic fluid in a tube with isosceles right triangular cross section
- Solid State Physics & Materials Science
- Numerical study of highly efficient tin-based perovskite solar cell with MoS2 hole transport layer
- An improved photocatalytic activity of H2 production: a hydrothermal synthesis of TiO2 nanostructures in aqueous triethanolamine
Articles in the same Issue
- Frontmatter
- Dynamical Systems & Nonlinear Phenomena
- Positron nonextensivity effect on the propagation of dust ion acoustic Gardner waves
- Thermal entry flow problem for Giesekus fluid inside an axis-symmetric tube through isothermal wall condition: a comparative numerical study between exact and approximate solution
- Ion-acoustic solitary structures at the acoustic speed in a collisionless magnetized nonthermal dusty plasma
- Exact Beltrami flows in a spherical shell
- Hydrodynamics
- Insight into the dynamics of non-Newtonian carboxy methyl cellulose conveying CuO nanoparticles: significance of channel branch angle and pressure drop
- Analytical and numerical study for oscillatory flow of viscoelastic fluid in a tube with isosceles right triangular cross section
- Solid State Physics & Materials Science
- Numerical study of highly efficient tin-based perovskite solar cell with MoS2 hole transport layer
- An improved photocatalytic activity of H2 production: a hydrothermal synthesis of TiO2 nanostructures in aqueous triethanolamine