Abstract
The nonlinear stage of the growth of perturbations in the hypercritical region is investigated in the case of a viscous liquid motion in the gap between two rotating cylinders by using the balance method for perturbation energy.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
C. C. Lin, Hydrodynamic Stability, Cambridge University Press.
A. L. Krylov, “Proof of instability of a viscous flow of incompressible liquid,” Dokl. Akad. Nauk SSSR,153, No. 4 (1963).
V. I. Yudovich, “Secondary flows and liquid instability between rotating cylinders,” Prikl. Mat. Mekh.,30, No. 4 (1966).
V. I. Yudovich, “Free convection and branching,” Prikl. Mat. Mekh.,31, No. 1 (1967).
S. N. Ovchinnikova and V. I. Yudovich, “Evaluation of secondary stationary flow between rotating cylinders,” Prikl. Mat. Mekh.,32, No. 5 (1968).
S. N. Ovchinnikova and V. I. Yudovich, “Stability and bifurcation of Couette flow in the case of narrow gap between rotating cylinders,” Prikl. Mat. Mekh.,38, No. 6 (1974).
J. T. Stewart, in: Mechanics [Russian translation], No. 3 (55), IL (1959), p. 19.
L. D. Landau and E. M. Lifshits, Mechanics of Continuous Media [in Russian], GITTL, GITTL, Moscow (1954).
R. J. Donnelly and N. J. Simon, J. Fluid Mech.,7, 401–418 (1960).
E. A. Romashko, “Stability of secondary Taylor flow between rotating cylinders with wide gap between them,” Inzh.-Fiz. Zh.,25, No. 1 (1973).
Author information
Authors and Affiliations
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 33, No. 4, pp. 719–727, October, 1977.
Rights and permissions
About this article
Cite this article
Romashko, E.A. Nonlinear stability of motion of viscous liquid between concentric rotating cylinders. Journal of Engineering Physics 33, 1231–1238 (1977). https://doi.org/10.1007/BF00859018
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00859018