回転円板に沿う境界層の安定性

抄録

A theory is investigated for the linear stability analysis of a three-dimensional rotating disk flow, in which the effects of Coriolis forces and streamwise curvature are included. The resulting six-order system describing the spatial evolution of the disturbances is solved numerically according to the Adams-Bashforth method, and the stability curves are presented for various numbers of vortices. The results show that the critical Reynolds number for the spiral vortices flow is 285, and the angle of the vortices is about 14° with the outward-down radius vector for 30 vortices. However, the critical Reynolds number is 252 and the number of vortices is 16 in the case of no phase velocity. Wereas, for 16 vortices, different instability mechanisms are obtained in which the angle of the vortices is about 20°.