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Accuracy and Efficiency Assessment of Harmonic Balance Method for Unsteady Flow in Multi-Stage Turbomachinery

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Abstract

With the relative movement of neighboring blade rows, flows in multi-stage turbomachinery are unsteady and periodic in time at the design condition. As an alternative to the widely used time domain time marching method, the harmonic balance (HB) method has been successfully applied to simulate the essentially unsteady flow of multi-stage turbomachinery. By modelling various number of harmonics, the accuracy of this method could be adjusted at different level of computational cost. In this article, accuracy of the harmonic balance method is not only validated against the time domain time marching method, as in most previous works on this topic, but also against the data from an experiment campaign of a two-stage high-pressure turbine where strong tip leakage flow exists. Efficiency of this method is also assessed in detail by adjusting the number of harmonics and comparing with time domain time marching solution results. Results show that the harmonic balance method is a flexible tool with adjustable accuracy for fast-turnaround unsteady flow simulation of multi-stage turbomachinery. Results from this work can provide a guidance in applying the harmonic balance method with balance between accuracy and computational cost.

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Acknowledgement

This work is supported by National Natural Science Foundation of China under project No. 51876098 and the grant from the Hubei Provincial Natural Science Foundation of China No. 2018CFB317. The first author is also sponsored by the Creative Seed Fund of Shanxi Research Institute for Clean Energy, Tsinghua University.

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Authors and Affiliations

  1. Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Tsinghua University, Beijing, 100084, China

    Zhen Zhang, Xinrong Su & Xin Yuan

  2. Science and Technology on Thermal Energy and Power Laboratory, Wuhan, 430205, China

    Can Ma

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  1. Zhen Zhang
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  2. Can Ma
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  3. Xinrong Su
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  4. Xin Yuan
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Correspondence to Xinrong Su.

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Zhang, Z., Ma, C., Su, X. et al. Accuracy and Efficiency Assessment of Harmonic Balance Method for Unsteady Flow in Multi-Stage Turbomachinery. J. Therm. Sci. 29, 1569–1580 (2020). https://doi.org/10.1007/s11630-020-1201-x

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  • DOI: https://doi.org/10.1007/s11630-020-1201-x

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