Affiliation:
1. Department of Engineering Science and Computer Science, Indiana University-Purdue University at Indianapolis, Indianapolis, Ind.
Abstract
The linear hydrodynamic stability of the flow through an annulus composed of two concentric porous circular cylinders with the outer cylinder moving is examined. Axisymmetric disturbances of the flow, which is produced by a longitudinal pressure gradient, a cross-flow and boundary motion, are examined using numerical methods producing neutral stability curves which show that the flow is stabilized by boundary motion even in the presence of a destabilizing crossflow. Two special cases, annular Couette flow and transverse flow through an annulus, are also investigated and are found to be stable for small disturbances.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
2 articles.
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1. Computational methods in hydrodynamic stability: Hydropack;Codes for Boundary-Value Problems in Ordinary Differential Equations;1979
2. On the numerical solution of difficult eigenvalue problems;Journal of Computational Physics;1977-07