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    Siginer, D. A. 1989. Free surface on a viscoelastic liquid in a cylinder with spinning bottom. Makromolekulare Chemie. Macromolecular Symposia, Vol. 23, Issue. 1, p. 91.

    Tidd, D. M. Thatcher, R. W. and Kaye, A. 1988. The free surface flow of Newtonian and non-Newtonian fluids trapped by surface tension. International Journal for Numerical Methods in Fluids, Vol. 8, Issue. 9, p. 1011.

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    Goddard, J. D. Melville, J. B. and Zhang, K. 1987. Similarity solutions for stratified rotating-disk flow. Journal of Fluid Mechanics, Vol. 182, Issue. -1, p. 427.

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    Jones, A.D.W. 1984. Hydrodynamics of Czochralski growth—A review of the effects of rotation and buoyancy force. Progress in Crystal Growth and Characterization, Vol. 9, Issue. 1-2, p. 139.

    Lai, C.-Y. Rajagopal, K. R. and Szeri, A. Z. 1984. Asymmetric flow between parallel rotating disks. Journal of Fluid Mechanics, Vol. 146, Issue. -1, p. 203.


Computation of the flow between two rotating coaxial disks

  • M. Holodniok (a1) (a2), M. Kubicek (a1) and V. Hlavácek (a1)
  • DOI:
  • Published online: 01 April 2006

A numerical investigation of the problem of rotating disks is made using the Newton–Raphson method. It is shown that the governing equations may exhibit one, three or five solutions. A physical interpretation of the calculated profiles will be presented. The results computed reveal that both Batchelor and Stewartson analysis yields for high Reynolds numbers results which are in agreement with our observations, i.e. the fluid may rotate as a rigid body or the main body of the fluid may be almost at rest, respectively. Occurrence of a two-cell situation at particular branches will be discussed.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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