Laminar compressible flow between close rotating disks. An asymptotic and numerical study
type: Item
instance of: scholarly article
title: Laminar compressible flow between close rotating disks. An asymptotic and numerical study
zbMATH Open document ID: 0544.76066
DOI: 10.1016/0045-7930(83)90007-5
author: M. Israeli
author: Marius Ungarish
published in: Computers and Fluids
publication date: 1983-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76N20
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3866876
zbMATH Keywords: merged, close and separate boundary layers
zbMATH Keywords: Laminar steady
zbMATH Keywords: close rotating thermally conducting axisymmetric disks with inflow
zbMATH Keywords: Navier- Stokes equation
zbMATH Keywords: asymptotic analysis
zbMATH Keywords: Rossby and Ekman numbers
zbMATH Keywords: finite- difference, modified Cheng-Allen method
zbMATH Keywords: non-uniform mesh
MaRDI profile type: Publication
full work available at URL: 0045-7930(83)90007-5
OpenAlex ID: W1648101638
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description: scientific article; zbMATH DE number 3866876