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Abstrakty
An algorithm for the Large Eddy Simulation, with subgrid modelling based on the spectral Chebyshev-Fourier approximation, is developed for the investigation of 3D turbulent and transitional non-isothermal flows within a rotor/stator cavity. In LES we use a version of the dynamic Smagorinsky eddy viscosity model in which the Smagorinsky coefficient at a given position x depends on the history of the flow along the fluid particle pathline. Computations are based on the efficient pseudo-spectral Chebyshev-Fourier method (S. HUGUES, A. RANDRIAMAMPIANINA, An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations, Int. J. Numer. Methods Fluids, 28, 501, 1998). To demonstrate the effectiveness of the proposed algorithm, computations were performed for the cavity of aspect ratio L = 5 and results were compared favorably with the experimental data taken from literature.
Czasopismo
Rocznik
Tom
Strony
95--120
Opis fizyczny
Bibliogr. 45 poz.
Twórcy
autor
autor
autor
- Institute of Thermal Engineering Poznań University of Technology Piotrowo 3, 60-965, Poznań, Poland, tuliszka-sznitko@put.poznan.pl
Bibliografia
- 1. E. SEVER AC, E. SERRE, A spectral viscosity LES for the simulation of turbulent flows within rotating cavities, J. Comp. Phys., 226, 2, 1234-1255, 2007.
- 2. S. HUGUES, A. RANDRIAMAMPIANINA, An improved projection scheme applied to pseu-dospectral methods for the incompressible Navier-Stokes equations, Int. J. Nurner. Methods Fluids, 28, 501, 1998.
- 3. I. RASPO, S. HUGUES, E. SERRE, A. RANDRIAMAMPIANINA, P. BONTOUX, Spectral projection methods for the simulation of complex three-dimensional rotating flows, Computers and Fluids, 31, 47, 745 767, 2002.
- 4. E. SERRE, J.P. PULICANI, A three-dimensional pseudospectral method for rotating flows in a cylinder, Computers & Fluids, 30, 491, 2001.
- 5. E. SEVERAC, S. PONCET, E. SERRE, Large eddy simulations and measurements of turbulent enclosed rotor-stator flows, Phys. Fluids, 19, 085113, 2007.
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- 10. H.S. KANG, H. CHOI, J.Y. Yoo, On the modification of the near-wall coherent structure in a three-dimensional turbulent boundary layer on a free rotating disk, Phys. of Fluids, 10, 2315, 1998.
- 11. E. TULISZKA-SZNITKO, C. SoONG, Instability of non-isothermal flow between coaxial rotating disks, Proceedings of European Congress on Computational Methods in Applied Sciences and Engineering, Barcelona 2000.
- 12. M. ITOH, On the instability of the flow between coaxial rotating disks, Boundary Layer Stability and Transition to Turbulence, ASME FED, 114, 83, 1991.
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- 19. G. GAUTHIER, P. GONDRET, F. MOISY, M. RABAUD, Instabilities in the flow between co-and counter-rotating disks, J. Fluid Mech., 473, 1-21, 2002.
- 20. F. MOISY, O. DOARE, T. PASUTTO, O. DAUBE, M. RABAUD, Experimental and numerical study of the shear layer instability between two counter-rotating disks, J. Fluid Mech., 507, 175-203, 2004.
- 21. S. PONCET, M. CHAUVE, R. SCHIESTEL, Batchelor versus Stew arts on flow structures in a rotor-stator cavity with throughflow, Phys. Fluids, 17, 075110, 2005.
- 22. S. CHEAH, H. IACOVIDES, D. JACKSON, H. Ji, B. LAUNDER, Experimental investigation of enclosed rotor-stator disk flows, Exp. Therm. Fluid Sci., 9, 45, 1994.
- 23. M. ITOH, Y. YAMADA, S. IMAO, M. GONDA, Experiments on turbulent flow due to an enclosed rotating disk, in Engineering Turbulence Modeling and Experiments, W. RODI and E. GANIC [Eds.], Elsevier, 659 668, 1990.
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- 26. E. SERRE, E. CRESPO DEL ARCO, P. BONTOUX, Annular and spiral patters inflow between rotating and stationary disks, J. Fluid Mech., 434, 65-100, 2001.
- 27. E. SERRE, E. TULISZKA-SZNITKO, P. BONTOUX, Coupled numerical and theoretical study of the transition flow between a rotating and stationary disk, Phys. of Fluids, 16, 3, 688-707, 2004.
- 28. J.J. HEALEY, Enhancing the absolute instability of a boundary layer by adding a far-away plate, J. Fluid. Mech., 579, 29-61, 2000.
- 29. A. RANDRIAMAMPIANINA, L. ELENA, J.P. FONTAINE, R. SCHIESTEL, Numerical prediction of laminar, transitional and turbulent flows in shrouded rotor-stator systems. Physics of Fluids, 9, 6, 1696 1713, 1997.
- 30. A. RANDRIAMAMPIANINA, S. PONCET, Turbulence characteristics of the Bodewadat layer in a large enclosed rotor-stator system, Phys. Fluids, 18, 055104, 2006.
- 31. E. TuuszKA-SzNiTKO, E. StlRRE, P. BoNTOUX, On the nature of the boundary layers instabilities in a flow between a rotating and a stationary disc, C.R. Mecanique, 30, 90—99, 2002.
- 32. E. TULISZKA-SZNITKO, A. ZIELINSKI, DNS/LES of transitional flow in rotating cavity, Int. J. Transport Phenomena, 10, 3, 223 234, 2008.
- 33. E. TULISZKA-SZNITKO, A. ZIELINSKI, W. MAJCHROWSKI, LES and DNS of the non-isothermal transitional flow in rotating cavity, accepted in Int. J. of Heat and Fluid Flow, 2009.
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- 37. R. JACQUES, P. LE QUERE, O. DAUBE, Axisymmetric numerical simulations of turbulent flow in rotor/stator enclosure, Int. J. of Heat and Fluid Flow, 23, 381 397, 2002.
- 38. X. Wu, K.D. SQUIRES, Prediction and investigation of the turbulent flow over a rotating disk, J. Fluid Mech., 418, 231 264, 2000.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT7-0016-0001