Journal of Fluid Mechanics

Computation of the flow between two rotating coaxial disks: multiplicity of steady-state solutions

M.  Holodniok a1 1 , M.  Kubí[script c]ek a1 and V.  Hlavá[script c]ek a1
a1 Department of Chemical Engineering, Prague Institute of Chemical Technology, 16628 Praha 6, Czechoslovakia

Article author query
holodniok m   [Google Scholar] 
kubí[script c]ek m   [Google Scholar] 
hlavá[script c]ek v   [Google Scholar] 


A numerical investigation of the problem of rotating disks is made using the Newton-Raphson and continuation methods. The numerical analysis of the problem was performed for a sequence of values of the Reynolds number R and the ratio of angular velocities of both disks s. It was shown that for higher values of the Reynolds number it is necessary to use a large number of grid points. Continuation of the solution with respect to the parameter s indicated that a number of branches may exist. A detailed discussion for three selected values of s (s = -1, s = 0, s = 1) is presented together with a detailed comparison of our calculations with results already published in the literature.

(Published Online April 20 2006)
(Received February 12 1980)
(Revised October 14 1980)


1 Computer Centre, Prague Institute of Chemical Technology.