Laminar compressible flow between close rotating disks. An asymptotic and numerical study
Laminar steady compressible flow between close rotating thermally conducting axisymmetric disks with inflow was investigated by means of a numerical solution of the Navier-Stokes equation and an asymptotic analysis. The approximate solution, obtained for small \(\epsilon\), E and H (Rossby and Ekman numbers, and height/radius, respectively) is valid for ''merged'', ''close'', and ''separate'' boundary layers on the disks. The numerical solution was obtained by a finite-difference, modified Cheng- Allen method [\textit{J. S. Allen} and \textit{S. I. Cheng}, Phys. Fluids 13, 37-52 (1970; Zbl 0211.294)], using a non-uniform mesh. The numerical and the approximate solution are in good agreement.
merged, close and separate boundary layers
close rotating thermally conducting axisymmetric disks with inflow
finite- difference, modified Cheng-Allen method
scientific article; zbMATH DE number 3866876