Non-Deterministic CFD Simulations on the Effect of Uncertain Tip Clearance on an Axial Rotor Performance

Abstract:

In the present paper, the non-intrusive Probabilistic Collocation (NIRPC) method is introduced in detail and used to simulate the effects of tip clearance uncertainty on the aerodynamic performance of NASA Rotor 37, which is combined with a commercial CFD software. The tip clearance height is supposed to be a stochastic variable in Beta distribution with four schemes of uncertainty in the random height of the plain tip clearance, the leading edge, the trailing edge and both the leading and trailing edges, respectively. The statistical properties of total performance of the rotor and flow structure within the blade passage in different flow conditions are analyzed. The results show that the Std. of total performances caused by the uncertain plain tip clearance decreases with reducing of the outlet pressure. The maximum of the standard deviation of Mach number appears in the regions where the leakage flow, the shock wave and the separation flow locate, which decreases from the tip to the hub. When the tip clearance is linear distributed, the uncertainty of tip clearance height at the leading edge is the main factor under high mass flow conditions. With the mass flow reaches to choking point, the Std. of total performances caused by the uncertainty of tip clearance height at the trailing edge drops sharply.

• Periodical: Advanced Materials Research (Volumes 860-863)
• Pages: 1499-1505
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.860-863.1499
• Online since: December 2013
• Authors: Zhi Yi Liu, Xiao Dong Wang, Shun Kang*
• Keywords: Axial Rotor, Non-Deterministic, Numerical Simulation, Tip Clearance

References

[1] C. Dinescu, S. Smirnov , C. Hirsch, and C. Lacor, , Assessment of intrusive and non-intrusive non-deterministic CFD methodologies based on polynomial chaos expansions, International Journal of Engineering Systems Modeling and Simulation, 2, 2010, p.87.

DOI: 10.1504/ijesms.2010.031874

[2] X.D. Wang, and S. Kang, Application of polynomial chaos on numerical simulation of stochastic cavity flow, Science China Technological Sciences, 53(10), 2010, pp.2853-2861.

DOI: 10.1007/s11431-010-4097-y

[3] Z.Y. Liu, X.D. Wang, S. Kang, Application of multi-dimensional polynomial chaos on numerical simulations of stochastic cavity flow, Journal of Engineering Thermophysics 33(3), 2012, p.419–422.

[4] A. Loeven, J. Witteveen and H. Bijl, Probabilistic collocation: An efficient non-intrusive approach for arbitrarily distributed parametric uncertainties, 45th AIAA Aerospace Sciences Meeting and Exhibit 8-11 January 2007, Nevada, USA.

DOI: 10.2514/6.2007-317

[5] G. Onorato, G.J.A. Loeven, G. Ghorbaniasl, H. Bijl and C. Lacor, Comparison of intrusive and non-intrusive polynomial chaos methods for CFD applications in aeronautics, European Conference on Computational Fluid Dynamics, 14-17 June 2010, Lisbon, Portugal.

[6] X.D. Wang, CFD simulation on complex flows in turbomachinery and robust optimization of blade design, Ph. D Thesis. Vrije Universiteit Brussel, Belgium, (2010).

[7] R.V. Chima, Calculation of Tip Clearance Effect in a Transonic Compressor Rotor, ASME Journal of Turbomachinery , Vol. 120, 1998, pp.131-140.

DOI: 10.1115/1.2841374

[8] R.G. Ghanem, and P.D. Spanos, Stochastic finite elements: a spectral approach, 2nd edition. Dover Publications, (2003).

[9] K.L. Suder and M.L. Celestina, Experimental and Computational Investigation of the Tip Clearance Flow in a Transonic Axial Compressor Rotor, NASA TM-106711, (1994).

DOI: 10.1115/94-gt-365

[10] B. Tartinville and C. Hirsch, Rotor 37. Notes in Numerical Fluid Mechanics and Multidisciplinary Design 2007, 94: 193202, FLOMANIA A European Initiative on Flow Physics Modeling, (2007).

DOI: 10.1007/978-3-540-39507-2_26

[11] J. Dunham, CFD validation for propulsion system components. Advisory Report, AGARD, (1998).

[12] J.D. Denton, Lessons from rotor 37, Journal of Thermal Science 6(1), 1997, pp.1-13.