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.
Citation:
V. Ya. Rudyak, I. G. Bord, “On stability of plane and cylindrical Poiseuille flows of nanofluids”, Prikl. Mekh. Tekh. Fiz., 58:6 (2017), 69–77; J. Appl. Mech. Tech. Phys., 58:6 (2017), 1013–1020
\Bibitem{RudBor17}
\by V.~Ya.~Rudyak, I.~G.~Bord
\paper On stability of plane and cylindrical Poiseuille flows of nanofluids
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 6
\pages 69--77
\mathnet{http://mi.mathnet.ru/pmtf640}
\crossref{https://doi.org/10.15372/PMTF20170607}
\elib{https://elibrary.ru/item.asp?id=30676162}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 6
\pages 1013--1020
\crossref{https://doi.org/10.1134/S0021894417060074}
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https://www.mathnet.ru/eng/pmtf640
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Vasily V. Bublik, HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2019): Proceedings of the XXVI Conference on High-Energy Processes in Condensed Matter, dedicated to the 150th anniversary of the birth of S.A. Chaplygin, 2125, HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2019): Proceedings of the XXVI Conference on High-Energy Processes in Condensed Matter, dedicated to the 150th anniversary of the birth of S.A. Chaplygin, 2019, 030062
Jianzhong Lin, Hailin Yang, “A review on the flow instability of nanofluids”, Appl. Math. Mech.-Engl. Ed., 40:9 (2019), 1227
V. Ya. Rudyak, AIP Conference Proceedings, 2027, 2018, 020005
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