抄録
The laminar radial flow between the parallel stationary disks is one of the basic flows used to evaluate the viscous behaviour of the fluid, and its application to the viscometer or the rheometer is worth noting.
Here, using the Reiner-Rivlin model, how a non-Newtonian fluid behaves in the abovementioned flow was studied analytically. And, on the basis of the results of the numerical calculation, the cross viscosity effect to the pressure-and the stress-distributions on the disk was discussed. And the present solution was compared with those of the author's approximate analysis as well as the Schwarz-Bruce's analysis in the radial flow between the parallel stationary disks.
It was found possible to obtain the exact solution of the flow field by the series expansion method. And, the solution in this paper was effective in the region of RE-1 and/or RC-1 and agreed with the Schwarz-Bruce's solution in this range. Furthermore the agreement with the present analysis confirmed the usefulness of the approximate analytical method for the power law fluid.