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Axisymmetric compressible flow in a rotating cylinder with axial convection

Published online by Cambridge University Press:  20 April 2006

Marius Ungarish  and
Moshe Israeli
Marius Ungarish
Affiliation:
Computer Science Department, Technion - Israel Institute of Technology, Haifa, Israel
Moshe Israeli
Affiliation:
Computer Science Department, Technion - Israel Institute of Technology, Haifa, Israel
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Abstract

The steady compressible flow of an ideal gas in a rotating annulus with thermally conducting walls is considered for small Rossby number ε and Ekman number E and moderate rotational Mach numbers M. Attention is focused on nonlinear effects which show up when σ and εM2 are not small (σ = ε/HE½, 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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 154 , May 1985 , pp. 121 - 144
Copyright
© 1985 Cambridge University Press

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