An improved mathematical model for the stability of cylinder rows subject to crossflow
Abstract
Linearized, quasistatic, fluid force coefficient data obtained from wind tunnel tests are used in an analysis of the fluidelastic stability of a double row of flexible circular cylinders subject to a crossflow. Although the analysis is quasistatic, frequency dependent terms are obtained in the aerodynamic stiffness and damping matrices; the origin of these terms is twofold: firstly, because of the time lag between flow leaving an upstream row and arriving at a downstream row, which becomes important at low values of the nondimensional flow velocity {U}/{fd}; secondly, because of retardation of the flow approaching the cylinder, which is particularly important when small displacements of the cylinder result in large changes in the fluid force coefficients. This analysis is used to investigate the effects of a number of parameters on the critical flow velocity and the theoretical results are compared with those available in the literature. In general, agreement between theory and experiment is reasonably good, indicating the validity of this analysis.
 Publication:

Journal of Sound Vibration
 Pub Date:
 December 1984
 DOI:
 10.1016/0022460X(84)905121
 Bibcode:
 1984JSV....97..615P
 Keywords:

 Circular Cylinders;
 Cross Flow;
 Structural Vibration;
 Computational Fluid Dynamics;
 Flow Velocity;
 Power Plants;
 Reynolds Number;
 Fluid Mechanics and Heat Transfer