Theoretical study of twodimensional and threedimensional potential flows with rotational source terms  Application to turbomachines
Abstract
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.
 Publication:

Ph.D. Thesis
 Pub Date:
 1983
 Bibcode:
 1983PhDT........10A
 Keywords:

 Computational Fluid Dynamics;
 Inviscid Flow;
 Potential Flow;
 Rotating Fluids;
 Three Dimensional Flow;
 Turbomachinery;
 Two Dimensional Flow;
 Cascade Flow;
 Computational Grids;
 Factorization;
 Iterative Solution;
 Transformations (Mathematics);
 Turbocompressors;
 Fluid Mechanics and Heat Transfer