Numerical and analytical study of rotating flow in an enclosed cylinder under an axial magnetic field

Acta Mechanica

Volumn 164, Issue 3-4, 2003, Pages 175-188

  Bessaih R ^a   Kadja, M ^a   Eckert, K ^b   Marty, P ^c  

^a Universite Mentouri Constantine   (Algeria)

^b DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^c LEGI   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; CYLINDERS (SHAPES); EQUATIONS OF MOTION; FINITE VOLUME METHOD; FLOW CONTROL; MAGNETIC FIELD EFFECTS; NUMERICAL ANALYSIS;

ENCLOSED CYLINDER; MAGNETIC INTERACTION; ROTATING FLOW;

LAMINAR FLOW;

EID: 0142216396     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-003-0021-x     Document Type: Article

References (28)

1. Granger, R.A.: Introduction to vortex dynamics. V. Kármán Institute Lecture Series 1986-08, Vol. 1, 1986.
2. Walker, J.S., Williams, M.G.: Effects of the crystal's nonzero electrical conductivity on the rotationally driven melt motion during Czochralski silicon growth with a uniform, transverse magnetic field. Journal of Crystal Growth 132, 31-39 (1993).
3. Hart, J.E., Kittelman, S.: Instabilities of the sidewall boundary layer in a differentially driven rotating cylinder. Phys. Fluids 8, 692-696 (1996).
4. Thomlan, P.F., Hudson, J.L.: Flow near an enclosed rotating disk: Anal. Chem. Eng. Sci. 26, 1591-1600 (1971).
5. Lewellen, W.S.: Review of confined vortex flows space propulsion laboratory. Cambridge, Mass.: MIT Press 1971.
6. Lang, E., Sridhar, K., Wilson, N.W.: Computational study of disk driven rotating flow in a cylindrical enclosure. J. Fluids Eng. 116, 815-820 (1994).
7. Delery, M.: Aspects of vortex breakdown. Progr. Aerospace Sci. 30, 1-59 (1994).
8. Lucca-Negro, O., Doherty, T.: Vortex breakdown: a review. Progr. Energy Combustion Sci. 27 431-481 (2001).
9. Ronnenberg, B.: Ein selbstjustierendes 3-Komponenten-Laser Doppler-Anemometer nach dem Vergleichsstrahlverfahren, angewandt für Untersuchungen in einer stationären zylindersymmetrischen Drehströmung mit einer Rückströmblase. Max-Planck-Institut für Strömungsforschung Bericht 20/1977, 1977.
10. Michelson, J.A.: Modeling of laminar incompressible rotating fluid flow. AFM 86-05. Ph.D. Diss, Dept. of Fluid Mechanics, Tech. Univ. of Denmark, 1986.
11. Spohn, A.: Ecoulement et éclatement tourbillonnaires engendrés par un disque tournant dans une enceinte cylindrique. Ph.D Thesis, Université de Grenoble I, 1991.
12. Escudier, M.P.: Observation of the flow produced in a cylindrical container by a rotating end wall. Exp. Fluids 2, 189-196 (1984).
13. Gelfgat, A.Yu., Bar-Yousef, P.Z., Solan, A.: Stability of confined swirling flow with and without vortex breakdown. J. Fluid Mech. 311, 1-36 (1996).
14. Lopez, J.M., Shen, J.: An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. J. Comp. Phys. 139, 308-326 (1998).
15. Hyun, J.M.: Spin-up from rest in a differentially rotating cylinder. AIAA J. 21, 1278-1288 (1983).
16. Spohn, A., Mory, M., Hopfinger, E.J.: Observation of vortex breakdown in an open cylindrical container with a rotating bottom. Exp. Fluids 14, 70-81 (1993).
17. Valentine, D.T., Jahnke, C.: Flows induced in a cylinder with both end walls rotating. Phys. Fluids 6, 2702-2710 (1994).
18. Sotiropoulos, F., Ventikos, Y.: Transition from bubble vortex breakdown to a columnar vortex in a closed cylinder with a rotating lid. Int. J. Heat Fluid Flow 19, 446-458 (1998).
19. Stevens, J.L., Lopez, J.M., Cantwell, B.J.: Oscillatory flow states in an enclosed cylinder with a rotating endwall. J. Fluid Mech. 389, 101-118 (1999).
20. Ventikos, Y.: The effect of imperfections on the emergence of three-dimensionality in stationary vortex breakdown bubbles. Phys. Fluids 14, 13-16 (2002).
21. Series, R.W., Hurle, D.T.J.: The use of magnetic fields in semiconductor crystal of growth. J. Crystal Growth 113, 305-310 (1991).
22. Mori, S., Satoh, K., Tanimoto, A.: Electrolytic mass transfer around inclined cylinders in static magnetic field. Electrochim. Acta 18, 2789-2794 (1994).
23. Mori, S., Satoh, K., Tanimoto, A.: Enhancement of electrolytic mass transfer around spheres by applying static magnetic fields. J. Chem. Engng Japan 27, 803-807 (1994).
24. Hjellming, L., Walker, J.S.: Melt motion in a Czochalski crystal puller with an axial magnetic field: isothermal motion. J. Fluid Mech. 164, 237-273 (1986).
25. Sotiropoulos, F., Ventikos, Y.: The three-dimensional structure of confined swirling flows with vortex breakdown. J. Fluid Mech. 426, 155-175 (2001).
26. Sotiropoulos, F., Ventikos, Y., Lackey, T.C.: Chaotic advection in 3-D stationary vortex-breakdown bubbles: Šil'nikov chaos and devil's staircase. J. Fluid Mech. 44, 257-297 (2001).
27. Pantankar, S.V.: Numerical heat transfer and fluid flow. New York: McGraw-Hill 1980.
28. Schlichting, H.: Boundary-layer theory, 7th ed. New York: McGraw-Hill 1988.