Abstract
The non-viscous swirling flow of an incompressible fluid in a circular pipe with arbitrary form of meridian section is analyzed. 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.
In the present analysis the more practical profiles of the basic flow containing exponential functions are chosen than the previous works, in which the basic flow with the constant axial velocity and the constant angular velocity was used.
Applying the perturbation theory to solve the equations, the first order solution is obtained analytically. Numerical calculations show that the phenomena of blocking which diverge the solutions can also occur in this case.
