Numerical stability analysis of the Taylor-Couette flow in the two-dimensional case
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...
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| Veröffentlicht in: | Computational mathematics and mathematical physics 2009-04, Vol.49 (4), p.729-742 |
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| container_title | Computational mathematics and mathematical physics |
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| creator | Belotserkovskii, O. M. Denisenko, V. V. Konyukhov, A. V. Oparin, A. M. Troshkin, O. V. Chechetkin, V. M. |
| description | 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. |
| doi_str_mv | 10.1134/S0965542509040162 |
| format | Article |
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| 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 |
| title | Numerical stability analysis of the Taylor-Couette flow in the two-dimensional case |
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