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Mathematical And Numerical Models For Axisymmetric Flows For Turbomachinery Applications
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Scientific Bulletin of the “Politehnica” University of Timisoara, Transactions on Mechanics, Tom 50(64), pp. 47-58
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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.
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| ISSN 1224-6077 |
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2005
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| Swirl flow, incompressible fluid, streamfunction, quasi-three-dimensional model, turbomachine |
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No file uploaded
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SUSAN-RESIGA Romeo
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MILOS Teodor
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BAYA Alexandru
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MUNTEAN Sebastian
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National Journal Article
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http://mh.mec.upt.ro/accord-fluid/workshop2005/docs/06_Resiga2.pdf
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Numerical Simulation and Parallel Computing Laboratory
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| Institution: |
UPT
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