Instability of the non-isothermal flow between a rotating and a stationary disks

• Autorzy: Tuliszka-Sznitko E. , Soong C. Y. , Serre E. , Bontoux P.
• Konferencja: Seminar/summer school on "CFD for turbomachinery applications" (01-03.09.2001, Gdańsk, Poland)
• Języki publikacji: EN

Abstrakty

EN

Both theoretical linear stability analysis and direct numerical simulation are performed to study the transition flow between rotating discs. The paper reports three-dimensional spiral and annular patterns computed with a high-order (spectral) numerical method in the Bodewadt layer of a cylindrical rotor/stator cavity. The characteristic parameters of these boundary layer instabilities are compared with the theoretical results and interpreted in terms of type I and type II generic instabilities. The absolute instability regions are theoretically identified and critical Reynolds numbers of the convective/absolute transition in both layers are given. The absolute or convective nature of the flows is determined by examining the branch-point singularities of the dispersion relation.

Słowa kluczowe

EN

rotational flow; stationary disks; flow instability; transition flow; convective/absolute transition

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2001
• Tom: Vol. 5, No 4
• Strony: 557--566
• Opis fizyczny: Bibliogr. 16 poz., rys., tab.

Twórcy

autor

Tuliszka-Sznitko E.

• Institute of Thermal Engineering, Technical University of Poznan, Piotrowo 3, 60-965 Poznan, Poland

autor

Soong C. Y.

• Rotating Fluids and Vortex Dynamics Laboratory, Department of Aeronautical Engineering, Chung Cheng Institute of Technology, Tahsi, Taoyuan, Taiwan 33509, Republic of China

autor

Serre E.

• Laboratoire de Mod´elisation et Simulation Num´erique en M´ecanique, LABM/CNRS, IMT Chˆateau-Gombert, La Jet´ee, Universit´e de la M´editerran´ee, F. Joliot-Curie 38, 13451 Marseille Cedex 20, France

autor

Bontoux P.

• Laboratoire de Mod´elisation et Simulation Num´erique en M´ecanique, LABM/CNRS, IMT Chˆateau-Gombert, La Jet´ee, Universit´e de la M´editerran´ee, F. Joliot-Curie 38, 13451 Marseille Cedex 20, France

Bibliografia

• [1] Kobayashi R, Kohama Y and Takamadate Ch 1980 Acta Mechanika 35 71
• [2] Lingwood R 1995 J. Fluid. Mech. 299 17
• [3] Lingwood R 1996 J. Fluid. Mech. 314 373
• [4] Daube O, Le Qu´er´e P, Cousin R and Jacques R 2001 Influence of Curvature on Transition Tounsteadiness and Chaos of Rotor/Stator Disk Flows J. Fluid Mech. (submitted)
• [5] Itoh M 1991 ASME FED 114 83
• [6] Tuliszka-Sznitko E and Soong C Y 2000 Instability of Non-isothermal Flow between Coaxial Rotating Disks Proc. European Congress on Computational Methods in Applied Sciences and Engineering, Barcelona
• [7] Serre E, Crespo del Arco and Bontoux P 2001 J. Fluid. Mech. 434 65
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• [9] Lingwood R 1997 J. Fluid. Mech. 331 405
• [10] Gauthier P, Gondret P and Rabaud M 1999 J.Fluid Mech. 386 105
• [11] Serre E and Pulicani J 2001 Computers and Fluids 30 (4) (in print)
• [12] Briggs R 1964 Electron-Stream Interaction with Plasmas MIT Press
• [13] Kupfer K, Bers A and Ram A 1987 Phys. Fluids 30 3075
• [14] Savas O 1987 J. Fluid Mech. 183 77
• [15] Schouveiler L, La Gal P, Chauve M P and Takeda Y 1999 Experiments in Fluids 26 179
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