Numerical stability analysis of the Taylor-Couette flow in the two-dimensional case

• Published in: Computational mathematics and mathematical physics Vol. 49; no. 4; pp. 729 - 742
• Main Authors: Belotserkovskii, O. M., Denisenko, V. V., Konyukhov, A. V., Oparin, A. M., Troshkin, O. V., Chechetkin, V. M.
• Format: Journal Article
• Language: English
• Published: Dordrecht SP MAIK Nauka/Interperiodica 01-04-2009; Springer Nature B.V
• Subjects: Applied mathematics; Approximation; Computational mathematics; Computational Mathematics and Numerical Analysis; Eulers equations; Hypotheses; Mathematics; Mathematics and Statistics; Mechanics; Reynolds number; Simulation; Studies; Temperature; Turbulence; Velocity; Viscosity; Vortices; numerical simulation of the Euler equation for inviscid fluid; turbulence; Taylor-Couette flow stability
• ISSN: 0965-5425; 1555-6662
• DOI: 10.1134/S0965542509040162

The stability of the laminar flow between two rotating cylinders (Taylor-Couette flow) is numerically studied. The simulation is based on the equations of motion of an inviscid fluid (Euler equations). The influence exerted on the flow stability by physical parameters of the problem (such as the gap width between the cylinders, the initial perturbation, and the velocity difference between the cylinders) is analyzed. It is shown that the onset of turbulence is accompanied by the formation of large vortices. The results are analyzed and compared with those of similar studies.