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Study of modeling unsteady blade row interaction in a transonic compressor stage part 1: code development and deterministic correlation analysis

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Abstract

The average-passage equation system (APES) provides a rigorous mathematical framework for accounting for the unsteady blade row interaction through multistage compressors in steady state environment by introducing deterministic correlations (DC) that need to be modeled to close the equation system. The primary purpose of this study is to provide insight into the DC characteristics and the influence of DC on the time-averaged flow field of the APES. In Part 1 of this two-part paper, firstly a 3D viscous unsteady and time-averaging flow CFD solver is developed to investigate the APES technique. Then steady and unsteady simulations are conducted in a transonic compressor stage. The results from both simulations are compared to highlight the significance of the unsteady interactions. Furthermore, the distribution characteristics of DC are studied and the DC at the rotor/stator interface are compared with their spatial correlations (SC). Lastly, steady and time-averaging (employing APES with DC) simulations for the downstream stator alone are conducted employing DC derived from the unsteady results. The results from steady and time-averaging simulations are compared with the time-averaged unsteady results. The comparisons demonstrate that the simulation employing APES with DC can reproduce the time-averaged field and the 3D viscous time-averaging flow solver is validated.

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Abbreviations

APES:

Average-passage equation system

DC:

Deterministic correlations

SC:

Spatial correlations

DS:

Deterministic stresses

SDS:

Spatial stresses

DS_IJ:

Components of deterministic stress tensor

SDS_IJ:

Components of spatial stress tensor

DEF:

Deterministic enthalpy fluxes

I,J :

R, T or X, (R, T, X) is in the direction of (r, θ, x)

P :

Static pressure

t :

Time

x :

Axial coordinate

r :

Radial coordinate

P t :

Total pressure

T t :

Total temperature

ρ :

Density

θ :

Circumferential coordinate

Ω :

Rotational speed

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Authors and Affiliations

  1. Group 404, National Key Laboratory of Science and Technology on Aero-Engine Aero-thermodynamics, School of Jet Propulsion, Beihang University, 100191, Beijing, China

    Yang-Wei Liu, Bao-Jie Liu & Li-Peng Lu

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  1. Yang-Wei Liu
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  2. Bao-Jie Liu
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  3. Li-Peng Lu
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Correspondence to Yang-Wei Liu.

Additional information

The project was supported by the National Natural Science Foundation of China (51006006, 51136003, 50976010, 50976009), the National Basic Research Program of China (2012CB720205), the Aeronautical Science Foundation of China (2010ZB51), the 111 Project (B08009), and the National Science Special Foundation for Post-doctoral Scientists of China (201104049).

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Liu, YW., Liu, BJ. & Lu, LP. Study of modeling unsteady blade row interaction in a transonic compressor stage part 1: code development and deterministic correlation analysis. Acta Mech Sin 28, 281–290 (2012). https://doi.org/10.1007/s10409-012-0049-z

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