非一様断面円管内の旋回流の解析

抄録

The non-viscous swirling flow of an incompressible fluid is analyzed for a circular pipe with arbitrary form of meridian section. When the deformation of the pipe from a circular cylinder is sufficiently small, perturbations of the flow can be assumed to be small comparing with the basic swirling flow, which has constant axial velocity and constant axial angular velocity.
Applying the perturbation theory referred to a transformed coordinate, the first and second order solutions are obtained in the present analysis. It is shown that CHOW's solution is comparable with the first order solution and that other conditions for blocking than CHOW's solution are possible.
By the use of an inverse method, it can be proved that the present solution is more accurate than the first order solutions.