International Journal of Fluid Machinery and Systems

Korean Society for Fluid machinery (한국유체기계학회)
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Influence of a weak superposed centripetal flow in a rotor-stator system for several pre-swirl ratios

  • Nour, Fadi Abdel (Department of Water Engineering, Damascus University) ;
  • Rinaldi, Andrea (Facolta di Ingegneria, Universita degli Studi di Padova) ;
  • Debuchy, Roger (Laboratoire Genie Civil & geo-Environnement (LGCgE- EA 4515), Universite d'Artois/FSA Bethune) ;
  • Bois, Gerard (Department FISE Fluid Engineering and Energy, Arts et metiers ParisTech)
  • Received : 2011.09.26
  • Accepted : 2012.04.02
  • Published : 2012.06.30
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Abstract

The present study is devoted to the influence of a superposed radial inflow in a rotor-stator cavity with a peripheral opening. The flow regime is turbulent, the two boundary layers being separated by a core region. An original theoretical solution is obtained for the core region, explaining the reason why a weak radial inflow has no major influence near the periphery of the cavity but strongly affects the flow behavior near the axis. The validity of the theory is tested with the help of a new set of experimental data including the radial and tangential mean velocity components, as well as three components of the Reynolds stress tensor measured by hot-wire anemometry. The theoretical results are also in good agreement with numerical results obtained with the Fluent code and experimental data from the literature.

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References

  1. Debuchy, R., Dyment, A., Muhe, H., and Micheau, P., 1998, "Radial inflow between a rotating and a stationary disc," Debuchy, R., Dyment, A., Muhe, H., and Micheau, P., 1998, "Radial inflow between a rotating and a stationary disc," European Journal of Mechanics, B, Fluids, 17(6), pp. 791-810. https://doi.org/10.1016/S0997-7546(99)80014-4
  2. Poncet, S., Chauve, M.P., and Le Gal, P., 2005, "Turbulent Rotating Disk Flow with Inward Throughflow," Journal of Fluid Mechanics, 522, pp. 253-262. https://doi.org/10.1017/S0022112004002046
  3. Daily, J.W., and Nece, R.E., 1960, "Chamber dimension effects on induced flow and frictional resistance of enclosed rotating disks," ASME J. Basic Eng., 82, pp. 217-232. https://doi.org/10.1115/1.3662532
  4. Schlichting, H., 1979, "Boundary-layer theory," 7th Edn., McGraw-Hill, New-York.
  5. Debuchy, R., Abdel Nour, F., and Bois, G., 2008, "On the flow behavior in rotor-stator system with superimposed flow," International Journal of Rotating Machinery, 10, No 1155/2008/719510.
  6. Abdel Nour, F., Poncet, S., Debuchy, R., Bois, G., 2009, "A Combined analytical, experimental and numerical investigation of turbulent air flow behaviour in a rotor-stator cavity," Mécanique & Industries, 10, 3-4, pp. 195-201. https://doi.org/10.1051/meca/2009065
  7. Batchelor, G.K., 1951, "Note on a class of solutions of the Navier-Stokes equations representing steady rotationallysymmetric flow," Quat. J. Mech. and Appl. Math., 4, pp. 29-41. https://doi.org/10.1093/qjmam/4.1.29
  8. von Karman T. 1921 "Uber laminare und turbulente reibung," Z. Angew. Math. Mech., 1 (4), pp. 233-252. https://doi.org/10.1002/zamm.19210010401
  9. Cochran. W.G. 1934 "The flow due to a rotating disk," Proc. Camb. Phil. Soc., 30: 365-375. https://doi.org/10.1017/S0305004100012561
  10. Stewartson K. 1953 "On the flow between two rotating coaxial disks," Proc. Camb. Phil. Soc. 49, pp. 333-341. https://doi.org/10.1017/S0305004100028437
  11. Owen J.M., & Rogers R.H., 1989 "Flow and heat transfer in rotating-disc systems, Vol. 2: Rotating cavities," Research studies press LTD.
  12. Kurokawa J., & Toyokura T., 1972 "Study on axial thrust of radial flow turbomachiner," 2nd Int. JSME Fluid Machinery and Fluidics, Tokyo, 4-9 September. Vol. 2, p. 31.
  13. Poncet S., Chauve M.P., & Le Gal P., 2009 "Lois analytiques pour les ecoulements en cavite Rotor-Stator," Mecanique & Industries10, 3-4, pp. 195-201. https://doi.org/10.1051/meca/2009065
  14. Itoh M., Yamada Y., Imao S., & Gonda M. 1990 "Experiments on turbulent flow due to an enclosed rotating disk. Engineering turbulence Modeling and Experiments," Ed. By W.Rodi, E.N. Garic, Elsevier, pp. 659-668.
  15. Szeri A. Z., Giron A., Schneider S. J., Labbe F., & Kaufman H. N. 1983 "Flow between rotating disks. Part I. Basic Flow," J. Fluid Mech. 134, pp. 103-131. https://doi.org/10.1017/S0022112083003250
  16. Dijkstra D. & Van Heijst G.J.F. 1983. "The flow between two finite rotating disks enclosed by a cylinder," Journal of Fluid Mechanics, 128, pp. 123-154. https://doi.org/10.1017/S0022112083000415
  17. D'Haudt E. 2006 "Etude experimentale de l'influence des conditions peripheriques sur un ecoulement turbulent de type Rotor-Stator," PhD Thesis, Universite des Sciences et Technologies de Lille.
  18. Debuchy R. 1993 "Ecoulement turbulent avec aspiration radiale entre un disque fixe et un disque tournant," PhD Thesis, Universite des Sciences et Technologies de Lille.
  19. Debuchy R., Abdel Nour F., & Bois G., 2010 "An Analytical Modeling of the Central Core Flow in a Rotor-Stator System With Several Preswirl Conditions," J. Fluids Eng. - Vol. 132, Issue 6.
  20. Abdel Nour F. 2010 "Analyse des ecoulements inter-disques en vue d'optimiser les poussees axiales dans les machines hydrauliques utilisées en station hydro-electrique," PhD Thesis, Arts et Metiers ParisTech Lille.

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  1. Contribution to an extended modelling of the core flow behaviour in a rotor-stator cavity with a superimposed radial inflow vol.16, pp.4, 2015, https://doi.org/10.1051/meca/2015022