Acta Mechanica

, Volume 113, Issue 1–4, pp 9–19 | Cite as

Flow induced by an asymmetrically placed disk rotating coaxially inside a cylindrical casing

  • A. Khalili
  • R. R. Adabala
  • H. J. Rath
Original Papers


In this paper, the flow due to a rotating disk non-symmetrically placed with respect to the height of the enclosing stationary cylinder is analyzed numerically. The full Navier-Stokes equations expressed in terms of stream function and vorticity are solved by successive over-relaxation for different disk radii, its distance from the bottom casing and rotational Reynolds numbers. It is observed that the flow pattern is strongly influenced by the size and the position of the disk. When the disk is very close to the top casing and small in radius, there are two regions of different scales and the vortices in the region of small scale are trapped between the disk and the top casing. Further, the variation of the moment coefficient is determined for different positions and sizes of the rotating disk. The calculations shows that the frictional torque increases rapidly, when the disk approaches the top casing. This finding is of importance for the design of vertical rotating disk reactors applied in chemical vapor deposition.


Vortex Torque Reynolds Number Vorticity Casing 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • A. Khalili
    • 1
  • R. R. Adabala
    • 2
  • H. J. Rath
    • 1
  1. 1.Center of Applied Space Technology and Microgravity (ZARM)University of BremenBremenGermany
  2. 2.Department of MathematicsIndian Institute of ScienceBangaloreIndia

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