Numerical simulation of flow in a compressor cascade under wide range of flow conditions

Authors

Keywords:

axial compressor, airfoil cascade, viscous flow, numerical simulation, numerical Schliren approach

Abstract

The numerical results are presented for the two-dimension viscous turbulent flow of working medium through the transonic compressor cascade under wide range of flow conditions. The mathematical model is constructed on a basis of the system of the Reynolds-averaged Navier-Stokes equations and the two-equation differential k-ω SST Menter’s turbulence model supplemented by realisability constraints. The equations are integrated numerically with the implicit ENO scheme of the second order of approximation. The boundary condition treatment modification is used at the exit to improve reliability of flow computations for compressor blade rows. The detailed analysis of flow nature for working and stalling branches of the compressor characteristic is presented using computational data visualization with the Mach number contours and “numerical Schliren” approach. The obtained numerical results are in an agreement with known theoretical ideas about supersonic flows in compressors. It is shown, that for detailed visualization of complex wave flow structure for supersonic flows in compressor cascades it is appropriate to use computational meshes with about and more than 100 000 cells per a tangential section.

Author Biographies

В. А. Яковлев, A. N. Podgorny Institute for Mechanical Engineering Problems of NAS of Ukraine

Candidate of Technical Sciences

С. В. Ершов, A. N. Podgorny Institute for Mechanical Engineering Problems of NAS of Ukraine

Doctor of technical sciences

References

Yershov, S., Yakovlev, V., Derevyanko, A., Grizun, M., Kozyrets, D. (2011). Development of Application Package for Computation of Three-Dimensional Flow of Viscous Compressible Gas through Turbomachin-ery Blade Rows. Power and Heat Engineering Processes and Equipment. Bulletin of National Technical University «KhPI» 5: 25–32.

Yershov, S. (2008). Realisability Constraint for SST k-ω Turbulence Model. Mechanical Engineering Prob-lems 11(2): 14–23.

Yershov, S. (2011). Numerical Realisation of Boundary Conditions at Permeable Boundaries for Gasdy-namics Equations. Mechanical Engineering Problems 14(4): 25–37.

Menter, F.R. (1994). Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications 32(8): 1598–1605.

Pilipenko, А., Polevoy, O., Prikhodko, A. (2012). Numerical Simulation of Mach Number and Incidence Angle Influence on Regime of Transonic Turbulent Flow around Aerodynamic Airfoils. Transactions of Central Aerohydrodynamical Institute 43(1): 3–31.

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Published

2014-12-30

Issue

Vol. 17 No. 4 (2014)

Section

Aero- and hydrodynamics in energy machines

License

Copyright (c) 2015 С. В. Папазов, В. А. Яковлев, С. В. Ершов

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