Uncertainty quantification of leakages in a multistage simulation and comparison with experiments

April 10-15, 2016 Abstract The present paper presents a numerical study of the impact of tip gap uncertainties in a multistage turbine. It is well known that the rotor gap can change the gas turbine efficiency but the impact of the random variation of the clearance height has not been investigated before. In this paper the radial seals clearance of a datum shroud geometry, representative of steam turbine industrial practice, was systematically varied and numerically tested. By using a Non-Intrusive Uncertainty Quantification simulation based on a Sparse Arbitrary Moment Based Approach, it is possible to predict the radial distribution of uncertainty in stagnation pressure and yaw angle at the exit of the turbine blades. This work shows that the impact of gap uncertainties propagates radially from the tip towards the hub of the turbine and the complete span is affected by a variation of the rotor tip gap. This amplification of the uncertainty is mainly due to the low aspect ratio of the turbine and a similar behavior is expected in high pressure turbines. .

[1]  Francesco Montomoli,et al.  Uncertainty Quantification: A Stochastic Method for Heat Transfer Prediction Using LES , 2012 .

[2]  Matteo Bianchi,et al.  The Use of Probabilistic Methods in Determining Turbine Disc Cyclic Life Uncertainty , 2013 .

[3]  Francesco Montomoli,et al.  Uncertainty Quantification in Computational Fluid Dynamics and Aircraft Engines , 2015 .

[4]  A. Giboni,et al.  Interaction of Labyrinth Seal Leakage Flow and Main Flow in an Axial Turbine , 2003 .

[5]  Francesco Montomoli,et al.  Uncertainty Quantification and Conjugate Heat Transfer: A Stochastic Analysis , 2013 .

[6]  Francesco Montomoli,et al.  Uncertainty quantification and film cooling , 2013 .

[7]  Jochen Gier,et al.  Interaction of Shroud Leakage Flow and Main Flow in a Three-Stage LP Turbine , 2003 .

[8]  Guillermo Paniagua,et al.  Performance Robustness of Turbine Squealer Tip Designs Due to Manufacturing and Engine Operation , 2017 .

[9]  Ever Avriel Fadlun,et al.  Measurement Error Influence on Gas Turbine Operability for Condition-Based Maintenance and Reliability/Availability Improvement , 2008 .

[10]  Grégory Coussement,et al.  Quantification of Combined Operational and Geometrical Uncertainties in Turbo-Machinery Design , 2015 .

[11]  Michael Beetz,et al.  Uncertainty Analysis for Large-Scale Industrial Radial Compressors , 2010 .

[12]  John D. Denton,et al.  The Importance of Shroud Leakage Modelling in Multistage Turbine Flow Calculations , 2005 .

[13]  J. Denton Loss Mechanisms in Turbomachines , 1993 .

[14]  Luca Innocenti,et al.  Uncertainty Quantification of Hot Gas Ingestion for a Gas Turbine Nozzle Using Polynomial Chaos , 2015 .

[15]  Francesco Montomoli,et al.  Geometrical Uncertainty in Turbomachinery , 2010 .

[16]  J. D. Denton,et al.  The Calculation of Three-Dimensional Viscous Flow Through Multistage Turbomachines , 1992 .

[17]  D. E. Metzger,et al.  The Influence of Turbine Clearance Gap Leakage on Passage Velocity and Heat Transfer Near Blade Tips: Part II—Source Flow Effects on Blade Suction Sides , 1989 .

[18]  John D. Denton,et al.  The Control of Shroud Leakage Loss by Reducing Circumferential Mixing , 2006 .

[19]  G. Gyarmathy,et al.  Flow Interaction From the Exit Cavity of an Axial Turbine Blade Row Labyrinth Seal , 2001 .

[20]  John D. Denton,et al.  The Influence of Shroud and Cavity Geometry on Turbine Performance: An Experimental and Computational Study— Part II: Exit Cavity Geometry , 2008 .

[21]  N. Wiener The Homogeneous Chaos , 1938 .

[22]  R. Walters,et al.  Non-Intrusive Polynomial Chaos Methods for Uncertainty Quantification in Fluid Dynamics , 2010 .

[23]  John D. Denton,et al.  The Influence of Shroud and Cavity Geometry on Turbine Performance — An Experimental and Computational Study: Part I — Shroud Geometry , 2007 .

[24]  D. Xiu,et al.  Modeling uncertainty in flow simulations via generalized polynomial chaos , 2003 .

[25]  Wing Ng,et al.  Effects of Tip Clearance Gap and Exit Mach Number on Turbine Blade Tip and Near-Tip Heat Transfer , 2013 .

[26]  Budimir Rosic,et al.  The control of shroud leakage flows in low aspect ratio multistage turbines , 2006 .

[27]  Ronald Scott Bunker,et al.  The Effects of Manufacturing Tolerances on Gas Turbine Cooling , 2009 .

[28]  Francesco Montomoli,et al.  Geometrical uncertainty in turbomachinery: Tip gap and fillet radius , 2011 .