A new formulation of the mixing plane boundary condition to analyze the steady-state interaction between adjacent rows of a turbomachine, used in conjunction with steady two-dimensional nonreflecting boundary conditions, is presented. Existing mixing plane formulations rely on the differences between some variables at the interface of adjacent rows to determine the boundary condition. These differences are driven to zero as the case is converged to the steady state. By contrast, the proposed approach determines the differences that result in the conservation of mass, momentum, and energy after the boundary condition is enforced, ensuring conservation at any instant during the iterative process. The reverse flow within the mixing plane boundary is naturally treated, but both inlet and outlet boundary conditions fail when the mixing plane normal velocity tends to zero, giving rise to sharp variations of the fluid variables that must be properly limited to prevent convergence problems. Some examples will be given to demonstrate the ability of the new method to resolve these cases while preserving the boundary condition robustness.
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July 2016
Research-Article
A Novel Mixing Plane Method Using Nonreflecting Boundary Conditions for Multirow Analysis in Turbomachines
Fernando Gisbert,
Fernando Gisbert
Technology and Methods Department,
Industria de Turbopropulsores S.A.,
Madrid 28830, Spain
e-mail: Fernando.Gisbert@itp.es
Industria de Turbopropulsores S.A.,
Madrid 28830, Spain
e-mail: Fernando.Gisbert@itp.es
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Roque Corral
Roque Corral
Technology and Methods Department,
Industria de Turbopropulsores S.A.,
Madrid 28830, Spain;
Industria de Turbopropulsores S.A.,
Madrid 28830, Spain;
Associate Professor
Department of Engine Propulsion and
Fluid Dynamics of the School of Aeronautics,
UPM,
Madrid 28040, Spain
e-mail: Roque.Corral@itp.es
Department of Engine Propulsion and
Fluid Dynamics of the School of Aeronautics,
UPM,
Madrid 28040, Spain
e-mail: Roque.Corral@itp.es
Search for other works by this author on:
Fernando Gisbert
Technology and Methods Department,
Industria de Turbopropulsores S.A.,
Madrid 28830, Spain
e-mail: Fernando.Gisbert@itp.es
Industria de Turbopropulsores S.A.,
Madrid 28830, Spain
e-mail: Fernando.Gisbert@itp.es
Roque Corral
Technology and Methods Department,
Industria de Turbopropulsores S.A.,
Madrid 28830, Spain;
Industria de Turbopropulsores S.A.,
Madrid 28830, Spain;
Associate Professor
Department of Engine Propulsion and
Fluid Dynamics of the School of Aeronautics,
UPM,
Madrid 28040, Spain
e-mail: Roque.Corral@itp.es
Department of Engine Propulsion and
Fluid Dynamics of the School of Aeronautics,
UPM,
Madrid 28040, Spain
e-mail: Roque.Corral@itp.es
1Corresponding author.
Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the JOURNAL OF TURBOMACHINERY. Manuscript received December 11, 2015; final manuscript received December 30, 2015; published online February 17, 2016. Editor: Kenneth C. Hall.
J. Turbomach. Jul 2016, 138(7): 071009 (9 pages)
Published Online: February 17, 2016
Article history
Received:
December 11, 2015
Revised:
December 30, 2015
Citation
Gisbert, F., and Corral, R. (February 17, 2016). "A Novel Mixing Plane Method Using Nonreflecting Boundary Conditions for Multirow Analysis in Turbomachines." ASME. J. Turbomach. July 2016; 138(7): 071009. https://doi.org/10.1115/1.4032539
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