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Klier, A. M. (1990) Aerodynamic design of annular ducts. Doctoral thesis, Polytechnic of North London.
This thesis presents mathematical and numerical methods for designing axisymmetric annular ducts having geometries capable of supporting fluid flows with prescribed performance characteristics. Three basic numerical methods of solution are given and are used to obtain results to the known exact solutions for a class of axisymmetric, irrotational incompressible flow regimes. Examination is made into the type of boundary conditions appropriate to control boundary layer behaviour and a new mixed boundary condition is derived to accomplish this. The technique is extended to cater for a class of swirling flows by investigating the derivation of a boundary layer approximation and further development allows the application of numerical iterative techniques to compressible flows with vorticity.
These methods are especially suited to generating duct geometries with predetermined flow characteristics.
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