Abstract
Stability of plane and cylindrical Poiseuille flows of nanofluids to comparatively small perturbations is studied. Ethylene glycol-based nanofluids with silicon dioxide particles are considered. The volume fraction of nanoparticles is varied from 0 to 10%, and the particle size is varied from 10 to 210 nm. Neutral stability curves are constructed, and the most unstable modes of disturbances are found. It is demonstrated that nanofluids are less stable than base fluids; the presence of particles leads to additional destabilization of the flow. The greater the volume fraction of nanoparticles and the smaller the particle size, the greater the degree of this additional destabilization. In this case, the critical Reynolds number significantly decreases, and the spectrum of unstable disturbances becomes different; in particular, even for the volume fraction of particles equal to 5%, the wave length of the most unstable disturbances of the nanofluid with particles approximately 20 nm in size decreases almost by a factor of 4.
Similar content being viewed by others
References
E. V. Timofeeva, D. S. Smith, W. Yu, et al., “Particle Size and Interfacial Effects on Thermophysical and Heat Transfer Characteristics of Water-Based a-SiC Nanofluids,” Nanotechnology 21, 215703 (2010).
S. Sh. Hosseini, A. Shahrjerdi, and Y. Vazifeshenas, “A Review of Relations for Physical Properties of Nanofluids,” Austral. J. Basic Appl. Sci. 5 (10), 417–435 (2011).
V. Ya. Rudyak, “State of the Art of Research in the Field of Nanofluid Viscosity,” Vestn. Novosib. Gos. Univ., Ser. Fizika 10 (1), 5–22 (2015).
D. V. Guzei, A. V. Minakov, V. Ya. Rudyak, and A. A. Dekterev, “Measuring the Heat-Transfer Coefficient of Nanofluid Based on Copper Oxide in a Cylindrical Channel,” Pis’ma Zh. Tekh. Fiz. 40 (5), 34–42 (2014) [Tech. Phys. Lett. 40 (3), 203–206 (2014)].
D. V. Guzei, A. V. Minakov, and V. Ya. Rudyak, “Investigation of Heat Transfer of Nanofluids in Turbulent Flow in a Cylindrical Channel,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 65–75 (2016) [Fluid Dyn. 51 (2), 189–199 (2016)].
D. Liu and L. Yu, “Single-Phase Thermal Transport of Nanofluids in a Minichannel,” J. Heat Transfer 133, 031009 (2011).
J. Zhang, Y. Diao, Y. Zhao, and Y. Zhang, “Thermal-Hydraulic Performance of SiC–Water and Al2O3–Water Nanofluids in the Minichannel,” J. Heat Transfer 138 (2), 021705 (2015).
G. K. Batchelor, “The Effect of Brownian Motion on the Bulk Stress in a Suspension of Spherical Particles,” J. Fluid Mech. 83 (1), 97–117 (1977).
V. Ya. Rudyak and S. L. Krasnolutskii, “Dependence of the Viscosity of Nanofluids on Nanoparticle Size and Material,” Phys. Lett. A 378, 1845–1849 (2014).
V. Ya. Rudyak, A. V. Minakov, M. S. Smetanina, and M. I. Pryazhnikov, “Experimental Data on the Dependence of the Viscosity of Water-and Ethylene Glycol-Based Nanofluids on the Size and Material of Particles,” Dokl. Akad. Nauk 467 (3), 1–3 (2016) [Doklady Physics 61 (3), 152–154 (2016)].
V. Ya. Rudyak, S. V. Dimov, V. V. Kuznetsov, and S. P. Bardakhanov, “Measurement of the Viscosity Coefficient of an Ethylene Glycol-Based Nanofluid with Silicon Dioxide Particles,” Dokl. Akad. Nauk 450 (1), 43–46 (2013).
M. A. Goldshtik and V. N. Shtern, Hydrodynamic Stability and Turbulence (Nauka, Novosibirsk, 1977) [in Russian].
L. G. Loitsyanskii, Mechanics of Liquids and Gases (Nauka, Moscow, 1987; Pergamon Press, Oxford–New York, 1966).
V. Rudyak, E. Isakov, and E. Bord, “Hydrodynamic Stability of the Poiseuille Flow of the Dispersed Fluid,” J. Aerosol Sci. 28 (1), 53–66 (1997).
E. G. Bord, E. B. Isakov, and V. Ya. Rudyak, “The Stability of Laminar Flows of Dilute Dispersed Media,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 32 (4), 32–38 (1997) [Fluid Dyn. 32 (4), 495–499 (1997)].
V. V. Kozlov, I. D. Zverkov, B. Yu. Zanin, et al., “Development of Laminar-Separating-Flow Perturbations on a Wavy Wing,” Teplofiz. Aeromekh. 14 (3), 343–351 (2007) [Thermophys. Aeromech. 14 (3), 329–336 (2007)].
E. G. Bord and V. Ya. Rudyak, “On Regimes of Flow Stability in a Channel between Coaxial Cylinders,” Dokl. Akad. Nauk Vyssh. Shk. RF, No. 4, 7–20 (2014).
S. A. Orszag, “Accurate Solution of the Orr–Sommerfeld Stability Equation,” J. Fluid Mech. 50 (4), 689–703 (1979).
P. G. Saffman, “On the Stability of Laminar Flow of a Dusty Gas,” J. Fluid Mech. 13 (1), 120–128 (1962).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.Ya. Rudyak, E.G. Bord.
Rights and permissions
About this article
Cite this article
Rudyak, V.Y., Bord, E.G. On Stability of Plane and Cylindrical Poiseuille Flows of Nanofluids. J Appl Mech Tech Phy 58, 1013–1020 (2017). https://doi.org/10.1134/S0021894417060074
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894417060074