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Martel, CarlosAuthor

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July 10, 2024
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Rotating Stall Inception Prediction Using an Eigenvalue-Based Global Instability Analysis Method

Publicated to: International Journal of Turbomachinery, Propulsion and Power. 9 (2): 20- - 2024-06-01 9(2), DOI: 10.3390/ijtpp9020020

Authors:

Xu, SR; Yuan, CJ; He, C; Cao, DM; Sun, DK; Martel, C; Chen, HH; Wang, DX
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Affiliations

Beihang Univ, Sch Energy & Power Engn, Beijing 100191, Peoples R China - Author
Northwestern Polytech Univ, Sch Power & Energy, Xian 710072, Peoples R China - Author
Univ Politecn Madrid, Dept Matemat Aplicada Ingn Aerosp, ETSI Aeronaut & Espacio, Madrid 28040, Spain - Author
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Abstract

The accurate prediction of rotating stall inception is critical for determining the stable operating regime of a compressor. Among the two widely accepted pathways to stall, namely, modal and spike, the former is plausibly believed to originate from a global linear instability, and experiments have partially confirmed it. As for the latter, recent computational and experimental findings have shown it to exhibit itself as a rapidly amplified flow perturbation. However, rigorous analysis has yet to be performed to prove that this is due to global linear instability. In this work, an eigenanalysis approach is used to investigate the rotating stall inception of a transonic annular cascade. Steady analyses were performed to compute the performance characteristics at a given rotational speed. A numerical stall boundary was first estimated based on the residual convergence behavior of the steady solver. Eigenanalyses were then performed for flow solutions at a few near-stall points to determine their global linear stability. Once the relevant unstable modes were identified according to the signs of real parts of eigenvalues, they were examined in detail to understand the flow destabilizing mechanism. Furthermore, time-accurate unsteady simulations were performed to verify the obtained eigenvalues and eigenvectors. The eigenanalysis results reveal that at the rotating stall inception condition, multiple unstable modes appear almost simultaneously with a leading mode that grows most rapidly. In addition, it was found that the unstable modes are continuous in their nodal diameters, and are members of a particular family of modes typical of a dynamic system with cyclic symmetries. This is the first time such an interesting structure of the unstable modes is found numerically, which to some extent explains the rich and complex results constantly observed from experiments but have never been consistently explained. The verified eigenanalysis method can be used to predict the onset of a rotating stall with a CPU time cost orders of magnitude lower than time-accurate simulations, thus making compressor stall onset prediction based on the global linear instability approach feasible in engineering practice.
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Keywords

Eigenvalue analysisFlowGlobal instabilityOnseRotating stallStabilityUnsteady simulatioUnsteady simulation

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal International Journal of Turbomachinery, Propulsion and Power due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2024 there are still no calculated indicators, but in 2023, it was in position 21/55, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Engineering, Aerospace. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Mechanical Engineering.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-09:

  • WoS: 1
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-09:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 3.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 3 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 1.
  • The number of mentions on the social network X (formerly Twitter): 2 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/90764/

As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

  • Views: 96
  • Downloads: 72
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: China.

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Awards linked to the item

This research was funded by Science Center for Gas Turbine Project (Project No. P2022-C-II-001-001), the National Natural Science Foundation of China (Grant No. 52006177 and 51976172) and the National Science and Technology Major Project (Grant No. 2017-II-0009-0023).
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