Journal of Fluid Mechanics

Computation of the flow between two rotating coaxial disks

M.  Holodniok a1p1, M.  Kubicek a1 and V.  Hlavácek a1
a1 Department of Chemical Engineering, Institute of Chemical Technology, 166 28 Prague 6, Czechoslovakia

Article author query
holodniok m   [Google Scholar] 
kubicek m   [Google Scholar] 
hlavác v   [Google Scholar] 


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.

(Published Online April 12 2006)
(Received November 1 1976)

p1 Present address: Computer Centre, Institute of Chemical Technology, 166 28 Prague 6.