Investigation of Flow Distortion Generated Forced Response of a Radial Turbine with Vaneless Volute
-
Zhi Huang
und
Hong Zhang
Abstract
For a radial turbine with vaneless volute, the inflow of turbine rotor usually has a circumferential flow distortion due to the influence of the volute tongue. The rotating blades of the rotor are exposed to harmonic aerodynamic loads caused by the distortion, which may induce rotor resonance and lead to high cycle failures (HCF). To understand the forced response mechanism clearly, a numerical analysis was carried out based on a fluid structure interaction (FSI) method. The pressure functions were extracted from the results of a computational fluid dynamics (CFD) analysis by Fourier decomposition. The first three harmonic pressures were identified as the primary engine order (EO) excitations and imposed on the structural model for computational structural dynamics (CSD) simulation. The quantification and assessment of the rotor response were attained by mode superposition method. The simulation results are shown to be consistent with the predictions of Singh’s advanced frequency evaluation (SAFE) diagram.
Funding statement: This research was supported by the National Natural Science Foundation of China (Grant No. 51375048).
Nomenclature
Fourier coefficient
Damping matrix
External forcing vector
Stiffness matrix
Number of retained harmonics
Mass matrix
Harmonic index
Number of sectors
Harmonic index
Time averaged value of pressure
Real pressure component of the
Imaginary pressure components of the
Period of one rotor revolution
Time
Displacement vector
Displacement vector of the
Cyclic component
Fundamental frequency
Fundamental frequency
- BPF
Blade passing frequency
- CFD
Computational fluid dynamics
- CSD
Computational structural dynamics
- EO
Engine order
- FE
Finite element
- FSI
Fluid structure interaction
- FT
Fourier transformation
- HCF
High cycle failure
- ND
Nodal diameter
- PS
Pressure side
- RANS
Reynolds Averaged Navier-Stokes
- SAFE
Singh’s advanced frequency evaluation diagram
- SS
Suction side
References
1. Suhrmann JF, Peitsch D, Gugau M, Heuer T. On the effect of volute tongue design on radial turbine performance. ASME Turbo Expo Paper No. GT2012-69525, 2012.10.1115/GT2012-69525Suche in Google Scholar
2. Cerdoun M, Ghenaiet A. Analyses of steady and unsteady flows in a turbocharger’s radial turbine. P I Mech Eng E J Pro 2015;229:130–145.10.1177/0954408914566896Suche in Google Scholar
3. Yang M, Martinez-Botas R, Rajoo S, Yokoyama T, Ibaraki S. An investigation of volute cross-sectional shape on turbocharger turbine under pulsating conditions in internal combustion engine. Energy Convers Manage 2015;105:167–177.10.1016/j.enconman.2015.06.038Suche in Google Scholar
4. Shah SP, Channiwala SA, Kulshreshtha DB, Chaudhari G. Design and numerical simulation of radial inflow turbine volute. Int J Turbo Jet Eng 2014;31:287–301.10.1515/tjj-2014-0002Suche in Google Scholar
5. Simpson AT, Spence SW, Watterson JK. A comparison of the flow structures and losses within vaned and vaneless stators for radial turbines. J Turbomach 2009;131:031010–1-15.10.1115/1.2988493Suche in Google Scholar
6. Gu F, Engeda A, Benisek E. A comparative study of incompressible and compressible design approaches of radial inflow turbine volutes. P I Mech Eng A J Pow 2001;215:475–486.10.1243/0957650011538730Suche in Google Scholar
7. Ma C, Huang Z, Qi M. Investigation on the forced response of a radial turbine under aerodynamic excitations. J Therm Sci 2016;25:130–137.10.1007/s11630-016-0843-1Suche in Google Scholar
8. Liu Y, Yang C, Qi M, Zhang H, Zhao B. Shock, leakage flow and wake interactions in a radial turbine with variable guide vanes. ASME Turbo Expo Paper No. GT2014-25888, 2014.10.1115/GT2014-25888Suche in Google Scholar
9. Schwitzke M, Schulz A, Bauer HJ. Prediction of high-frequency blade vibration amplitudes in a radial inflow turbine with nozzle guide vanes. ASME Turbo Expo Paper No. GT2013-94761, 2013.10.1115/GT2013-94761Suche in Google Scholar
10. Heuer T, Gugau M, Klein A, Anschel P. An analytical approach to support high cycle fatigue validation for turbocharger turbine stages. ASME Turbo Expo Paper No. GT2008-50764, 2008.10.1115/GT2008-50764Suche in Google Scholar
11. Baines NC, Lavy M. Flows in vaned and vaneless stators of radial inflow turbocharger turbines. Trans I Mech Eng Conf Paper No. C405/005, 1990.Suche in Google Scholar
12. Bréard C, Green JS, Imregun M. Low-engine-order excitation mechanisms in axial-flow turbomachinery. J Propul Power 2003;19:704–712.10.2514/2.6160Suche in Google Scholar
13. Turco PD, Del Greco AS, Natali D, Borys R, Biagi R. Design and optimization of radial flow wheels for a waste heat recovery double supersonic stage turbo-expander. ASME Turbo Expo Paper No. GT2010-23649, 2010.10.1115/GT2010-23649Suche in Google Scholar
14. Kulkarni A, LaRue G. Vibratory response characterization of a radial turbine wheel for automotive turbocharger application. ASME Turbo Expo Paper No. GT2008-51355.10.1115/GT2008-51355Suche in Google Scholar
15. He L. Fourier methods for turbomachinery applications. Prog Aerosp Sci 2010;46:329–341.10.1016/j.paerosci.2010.04.001Suche in Google Scholar
16. Biesinger T, Cornelius C, Rube C, Braune A, Campregher R, Godin PG, et al. Unsteady CFD methods in a commercial solver for turbomachinery applications. ASME Turbo Expo Paper No. GT2010-22762, 2010.10.1115/GT2010-22762Suche in Google Scholar
17. Bardina JE, Huang PG, Coakley TJ. Turbulence modeling, validation, testing and development. NASA TM 110446, 1997.10.2514/6.1997-2121Suche in Google Scholar
18. Laxalde D, Thouverez F, Lombard JP. Forced response analysis of integrally bladed disks with friction ring dampers. J Vibr Acoust 2010;132:011013–1-9.10.1115/1.4000763Suche in Google Scholar
19. Bertini L, Neri P, Santus C, Guglielmo A, Mariotti G. Analytical investigation of the SAFE diagram for bladed wheels, numerical and experimental validation. J Sound Vibr 2014;333:4771–4788.10.1016/j.jsv.2014.04.061Suche in Google Scholar
© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- Combined Flow Control of Positively Bowed Blade and Vortex Generator Jet on a Compressor Cascade
- Design and Numerical Investigations on a Dual-Duct Variable Geometry RBCC Inlet
- Film Cooling Experimental Study on Sinusoidal Corrugated Liner for Afterburner
- Fatigue Life Prediction of Fan Blade Using Nominal Stress Method and Cumulative Fatigue Damage Theory
- Investigation of Flow Distortion Generated Forced Response of a Radial Turbine with Vaneless Volute
- A Comparison of the Wake Effects Generated by the Biased Triangle Bar and Traditional Cylinder Bar to the Boundary Layer on Suction Surface of LPT Blade
- Exergetic, Exergoeconomic, Sustainability and Environmental Damage Cost Analyses of J85 Turbojet Engine with Afterburner
- Large Eddy Simulation of Secondary Flows in an Ultra-High Lift Low Pressure Turbine Cascade at Various Inlet Incidences
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- Combined Flow Control of Positively Bowed Blade and Vortex Generator Jet on a Compressor Cascade
- Design and Numerical Investigations on a Dual-Duct Variable Geometry RBCC Inlet
- Film Cooling Experimental Study on Sinusoidal Corrugated Liner for Afterburner
- Fatigue Life Prediction of Fan Blade Using Nominal Stress Method and Cumulative Fatigue Damage Theory
- Investigation of Flow Distortion Generated Forced Response of a Radial Turbine with Vaneless Volute
- A Comparison of the Wake Effects Generated by the Biased Triangle Bar and Traditional Cylinder Bar to the Boundary Layer on Suction Surface of LPT Blade
- Exergetic, Exergoeconomic, Sustainability and Environmental Damage Cost Analyses of J85 Turbojet Engine with Afterburner
- Large Eddy Simulation of Secondary Flows in an Ultra-High Lift Low Pressure Turbine Cascade at Various Inlet Incidences
