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Numerical investigation of instability of an annular rotating cavity

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A direct two-dimensional numerical simulation has been performed to study the transition flow in an annual rotating cavity. The spectral collocation method based on the Chebyshev polynomial is used to solve the incompressible Navier-Stokes equation. The time scheme is semi-implicit and second-order accurate; it corresponds to a combination of the second-order backward differentiation formula for the viscous diffusion term and the Adams-Bashforth scheme for the non-linear terms. The method uses a projection scheme to maintain the incompressibility constrain. The numerical computations, performed for an annular cavity of the aspect ratio L=2 and 5 and for the curvature parameters Rm=(R1+R0)/(R1-R0)=5, exhibit instability structures in the form of circular rolls. These structures are in good agreement with the other investigations, both experimental and theoretical.
Rocznik
Strony
5--15
Opis fizyczny
Bibliogr. 23 poz., rys.
Twórcy
  • Chair of Thermal Engineering, Poznan University of Technology, Piotrowo 3, 60-965 Poznan, Poland
  • Chair of Thermal Engineering, Poznan University of Technology, Piotrowo 3, 60-965 Poznan, Poland
autor
  • Chair of Thermal Engineering, Poznan University of Technology, Piotrowo 3, 60-965 Poznan, Poland
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] Lingwood R 1997 J. Fluid. Mech. 331 405
  • [5] Daube O, Le Qu´er´e P, Cousin-Rittemard M and Jacques R 2001 J. Fluid Mech. (submitted)
  • [6] Itoh M 1991 ASME FED 114 83
  • [7] Tuliszka-Sznitko E and Soong C-Y 2000 Proc. European Congress on Computational Methods in Applied Sciences and Engineering, Barcelona, Spain, CDROM
  • [8] Tuliszka-Sznitko E, Serre E and Bontoux P 2002 C.R. Mecanique 30 90
  • [9] Serre E, Crespo del Arco and Bontoux P 2001 J. Fluid. Mech. 434 65
  • [10] Serre E and Pulicani J 2001 Computers and Fluids 30 491
  • [11] Serre E, Tuliszka-Sznitko E and Bontoux P 2004 Phys. of Fluids 16 (3) 688
  • [12] Cousin-Rittemard N 1996 Contribution `a l’´etude des instabilit´es des ´ecoulements axisymetriques en cavit´e inter-disque de type rotor-stator, Doctorate Thesis, Universit´e de Paris VI
  • [13] Cousin-Rittemard N, Daube O and Le Qu´er´e P 1998 C.R. Acad. Sci., serie IIb 326 359
  • [14] Faller A J 1963 J. Fluid Mech. 15 560
  • [15] Caldwell D R and Van Atta C 1970 J. Fluid Mech. 44 79
  • [16] Savas O 1987 J. Fluid Mech. 183 77
  • [17] Gauthier G, Gondret P and Rabaud M 1999 J. Fluid Mech. 386 105
  • [18] Dijkstra D and Heijst G 1983 J. Fluid Mech. 128 123
  • [19] Adams M L and Szeri A 1982 J. Appl. Mechanics 49 1
  • [20] Oliviera L A, Pecheux J and Restivo A O 1991 Teoret. Comp. Fluid Dyn. 2 211
  • [21] Schouveiler L, Le Gal P, Chauve M P and Takeda Y 1999 Experiments in Fluids 26 179
  • [22] Canuto C, Hussaini M Y, Qarteroni A and Zang T A 1988 Spectral Methods in Fluids Dynamics, Springer
  • [23] Haldenwang P, Labrosse G, Abboudi S and Deville M 1984 J. Comput. Phys. 55 115
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0020-0020
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