Research Center for Engineering of
                Systems with Complex Fluids
Title: Mathematical And Numerical Models For Axisymmetric Flows For Turbomachinery Applications
Published In: Scientific Bulletin of the “Politehnica” University of Timisoara, Transactions on Mechanics, Tom 50(64), pp. 47-58
Description: ABSTRACT The paper reviews the mathematical formulations for axisymmetric inviscid and incompressible flows with swirl. The formulation best suited for numerical simulations uses the Stokes streamfunction to identically satisfy the incompressibility constraint, and two transport equations for circulation function and azimuthal vorticity, respectively. For unsteady flows, the optimal numerical approach uses a combination of continous Galerkin (for streamfunction elliptic equation) and discontinuous Galerkin (for transport equations). This methodology is reviewed and its application to axisymmetric swirling flow is examined in detail. For steady flows, we review the derivation of the non-linear elliptic problem for streamfunction. The equivalent variational formulation is approached with the Finite Element Method. For columnar flows we examine the solution branches, both with and without stagnation region. An original and robust algorithm for computing the radial extent of central stagnation region is presented. Numerical examples for columnar flows are aimed at elucidating the possibility of developing a robust algorithm for solving steady axisymmetric non-columnar swirling flows with a free-boundary enclosing the stagnation region as circumferentially averaged rotating helical vortex is also discussed. Finally, we review the inverse equations for steady axisymmetric flows, as the mathematical foundation for the inverse design methods. All models examined and discussed are aimed at developing a complete framework for hydraulic turbomachinery swirling flows analysis, design and optimization.
ISBN: 
ISSN:ISSN 1224-6077
DOI: 
Publication year: 2005
Keywords:Swirl flow, incompressible fluid, streamfunction, quasi-three-dimensional model, turbomachine
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Authors: SUSAN-RESIGA Romeo , MILOS Teodor , BAYA Alexandru , MUNTEAN Sebastian ,
Type: National Journal Article
Link: http://mh.mec.upt.ro/accord-fluid/workshop2005/docs/06_Resiga2.pdf
Laboratory: Numerical Simulation and Parallel Computing Laboratory
Institution: UPT