Abstract
The paper is focused on studies of channel viscous flow stability with the high dependence viscosity on temperature (thermoviscosity effect). It is shown the essential influence of this effect on the entrance length or transition from any initial profile to the stationary profile of the plane channel flow. The obtained solution has an inflection point in the velocity profile for the certain range of flow parameters. This evidence with respect to Rayleigh’s inflection theorem involves thermoviscous media deserving consideration objects for stability problems.
Similar content being viewed by others
References
Stanciu, I., J. Pet. Technol. Altern. Fuels, 2012, vol. 3, no. 2, p. 19.
Evdokimov, I.N., Eliseev, D.Yu., and Eliseev, N.Yu., Chem. Technol. Fuels Oils, 2002, vol. 38, no. 3, p. 171.
Zinnatullin, R.R. and Shaikhislamov, R.R., High Temp., 2010, vol. 48, no. 5, p. 759.
Medveditskov, A.N., Cand. Sci. (Eng.) Dissertation, Moscow: Joint Institute for High Temperatures of the Academy of Sciences of the Soviet Union, 1984.
Urmancheev, S.F., Doctoral (Phys.-Math.) Dissertation, Ufa, Russia: Bashkir State University, 2004.
Fabelinskii, I.L., Phys.-Usp., 1997, vol. 40, no. 7, p. 689.
Wilson, S.K. and Duffy, B.R., J. Eng. Math., 2002, no. 42, p. 359.
Ghaly, A.Y. and Seddeek, M.A., Chaos, Solitons Fractals, 2004, no. 19, p. 61.
Polyakov, A.F., High Temp., 2014, vol. 52, no. 1, p. 72.
Aleksandrov, A.A., Dzhuraeva, and E.V., and Utenkov, V.F., High Temp., 2012, vol. 50, no. 2, p. 185.
Pearson, J.R.A., Shah, Y.T., and Viera, E.S.A., Chem. Eng. Sci., 1973, vol. 28, p. 2079.
Seeton, C.J., Tribol. Lett., 2006, vol. 22, no. 1, p. 67.
Aristov, S.G. and Zelenina, V.G., Fluid Dyn., 2000, vol. 35, no. 2, p. 217.
Yagodin, D.A., High Temp., 2009, vol. 47, no. 5, p. 336.
Ceotto, D., High Temp., 2013, vol. 51, no. 1, p. 131.
Bel’tyukov, A.L., Lad’yanov, V.I., and Shishmarin, A.I., High Temp., 2014, vol. 52, no. 2, p. 185.
Son, E.E., Lektsii po fizicheskoi mekhanike (Lectures on Physical Mechanics), Moscow: Fizmatlit, 2010.
Urmancheev, S.F., Vestn. Nizhegorodskogo Gos. Univ., 2011, no. 4, part 3, p. 1197.
Viswanath, D.S., Ghosh, T.K., Prasad, D.H.L., Dutt, N.V.K., and Ranik, Y., Viscosity of Liquids: Theory, Estimation, Experiment, and Data, Berlin: Springer-Verlag, 2007.
Tikhonov, A.N. and Samarskii, A.A., Equations of Mathematical Physics, New York: Dover, 2011.
Hoffmann, K.A. and Chiang, S.T., Computational Fluid Dynamics, Bhopal, India: Engineering Education System, 1998, vol. 1.
Fay, A., Introduction to Fluid Mechanics, Cambridge, Massachusetts, United States: Massachusetts Institute of Technology Press, 1998.
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Kulikov, Y.M., Son, E.E. Fluid flow with abrupt viscosity-temperature dependence. High Temp 52, 723–729 (2014). https://doi.org/10.1134/S0018151X14050216
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0018151X14050216