Theoretical study of two-dimensional and three-dimensional potential flows with rotational source terms - Application to turbomachines

Analytical procedures are developed for computing the inviscid flow in a channel of arbitrary geometry, and applications to turbine blade cascades and axial compressors are presented and illustrated with drawings, diagrams, and graphs. The velocity field is decomposed into a scalar potential part and a vectorial rotational part, permitting the rotational functions to be introduced as (given) source terms in the calculation of the potential function. An iterative numerical algorithm using a multigrid discretization is employed in the solution of bidimensional problems with and without rotational source terms and of tridimensional incompressible nonrotational problems.