Laminar compressible flow between close rotating disks: An asymptotic and numerical study |
| |
Authors: | Moshe Israeli Marius Ungarish |
| |
Affiliation: | 1. Computer Science Department, Technion-IIT, Haifa, Israel;2. Department of Mathematics, MIT, Cambridge, Massachusetts U.S.A. |
| |
Abstract: | 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 ?, E and H (Rossby and Ekman numbers, and height/radius, respectively) is valid for “merged”, “close” and “separate” boundary layers on the disks, corresponding to β? 1, and β? 1, respectively (where , and ρ is the non-dimensional density). These three cases may appear simultaneously in different regions of the same system due to the large variation of ρ in the radial direction. The small ? (i.e. negligible convection terms) does not necessarily imply small perturbations of the pressure, and a special treatment of the pressure term was used in order to account for this feature, which sometimes culminates in inversion of the radial pressure gradient. Thenumerical solution was obtained by a finite-difference, modified Cheng-Allen method, using a non-uniform mesh. The numerical and the approximate solution are in good agreement. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|