Axisymmetric compressible flow in a rotating cylinder with axial convection

Marius Ungarish, Moshe Israeli

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The steady compressible flow of an ideal gas in a rotating annulus with thermally conducting walls is considered for small Rossby number ∊ and Ekman number E and moderate rotational Mach numbers M. Attention is focused on nonlinear effects which show up when σ and eM2are not small (σ= ε/HE1/2, H is the dimensionless height of the container). These effects are not properly predicted by the classical linear perturbation analysis, and are treated here by quasi-linear extensions. The extra work required by these extensions is only the numerical solution of one ordinary differential equation for the pressure. Numerical solutions of the full Navier—Stokes equations in the nonlinear range are presented, and the validity of the present approach is confirmed.

Original languageEnglish
Pages (from-to)121-144
Number of pages24
JournalJournal of Fluid Mechanics
Volume154
DOIs
StatePublished - May 1985
Externally publishedYes

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