TY - JOUR
T1 - Axisymmetric compressible flow in a rotating cylinder with axial convection
AU - Ungarish, Marius
AU - Israeli, Moshe
PY - 1985/5
Y1 - 1985/5
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0022059184&partnerID=8YFLogxK
U2 - 10.1017/s0022112085001458
DO - 10.1017/s0022112085001458
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AN - SCOPUS:0022059184
SN - 0022-1120
VL - 154
SP - 121
EP - 144
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -