Spatial Stability of Concentric Annular Flow
Abstract
Spatial stability of fullydeveloped axial flow in a concentric annulus to infinitesimal, axisymmetric as well as nonaxisymmetric disturbances is investigated. The solution employs a selective application of the GramSchmidt orthonormalization procedure in order to control the parasitic error during numerical integration. Results presented in the form of neutral stability curves for several values of the diameter ratio and angular wavenumber show that the flow is more unstable to nonaxisymmetric disturbances than to the axisymmetric ones. The sequence for the values of angular wavenumber in order of increasing critical Reynolds number depends on the diameter ratio of the annulus. As the angular wavenumber increases, the phase velocity of the neutral disturbances approaches a constant, about 1/4th of the maximum velocity of axial flow through the annulus. The results match, in the limit, with those for the planePoiseuille flow.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 October 1980
 DOI:
 10.1143/JPSJ.49.1577
 Bibcode:
 1980JPSJ...49.1577G
 Keywords:

 Annular Flow;
 Axial Flow;
 Computational Fluid Dynamics;
 Concentric Cylinders;
 Flow Stability;
 Flow Velocity;
 Numerical Integration;
 Pipe Flow;
 Spatial Distribution;
 Fluid Mechanics and Heat Transfer