Abstract
We consider the convective stability of a non-Newtonian (nonlinearly viscous) liquid in a two-dimensional vertical channel. We solve a nonlinear boundary value problem concerning plane-parallel stationary convection for the case of piecewise-linear and power-law type rheological characteristics. We discuss the problem concerning the stability of equilibrium and of stationary motions.
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Chi Tien, Hun Sheng Tsuei, and Zu Shung Sun, “Thermal instability of a horizontal layer of non-Newtonian fluid heated from below,” Intern. J. Heat Mass Transfer,12, No. 9 (1969).
S. F. Liang and A. Acrivos, “Experiments on buoyancy-driven convection in a non-Newtonian fluid,” Rheol. Acta,9, No. 3 (1970).
P. C. Wankat, “Note on thermal instability of a horizontal layer of non-Newtonian fluid heated from below,” Intern. J. Heat Mass Transfer,13, No. 9 (1970).
G. Z. Gershuni and E. M. Zhukhovitskii, Convective Stability of an Incompressible Liquid [in Russian], Nauka, Moscow (1972).
G. Z. Gershuni and E. M. Zhukhovitskii, “On convective stability of a Bingham liquid,” Dokl. Akad. Nauk SSSR,208, No. 1 (1973).
I. G. Semakin, “A stationary convection of a non-Newtonian liquid in a vertical layer,” Izv. Akad. Nauk SSSR. Mekhan. Zhidk. i Gaza, No. 4 (1972).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 88–95, September–October, 1973.
The authors thank D. V. Lyubimov for his help in carrying out the calculations.
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Gershuni, G.Z., Zhukhovitskii, E.M. & Lyublmova, T.P. Convective stability of a vertical layer of a non-newtonian liquid. J Appl Mech Tech Phys 14, 675–680 (1973). https://doi.org/10.1007/BF00856881
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DOI: https://doi.org/10.1007/BF00856881