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

作　　者：Yang-Wei Liu Bao-Jie Liu Li-Peng Lu 

机构地区：[1]Group 404,National Key Laboratory of Science and Technology on Aero-Engine Aero-thermodynamics,School of Jet Propulsion,Beihang University,100191 Beijing,China

出　　处：《Acta Mechanica Sinica》2012年第2期281-290,共10页力学学报（英文版）

基　　金：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);the National Science Special Foundation for Post-doctoral Scientists of China (201104049)

摘　　要：The average-passage equation system （APES） provides a rigorous mathematical framework for account- ing for the unsteady blade row interaction through multi- stage compressors in steady state environment by introduc- ing 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 investi- gate the APES technique. Then steady and unsteady simu- lations 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 cor- relations （SC）. Lastly, steady and time-averaging （employing APES with DC） simulations for the downstream stator alone are conducted employing DC derived from the unsteady re- suits. The results from steady and time-averaging simula- tions 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.The average-passage equation system （APES） provides a rigorous mathematical framework for account- ing for the unsteady blade row interaction through multi- stage compressors in steady state environment by introduc- ing 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 investi- gate the APES technique. Then steady and unsteady simu- lations 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 cor- relations （SC）. Lastly, steady and time-averaging （employing APES with DC） simulations for the downstream stator alone are conducted employing DC derived from the unsteady re- suits. The results from steady and time-averaging simula- tions 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.

关 键 词：UNSTEADY Blade row interaction Compressor.Deterministic correlation. Average-passage equation system~ CFD 

分 类 号：O212.1[理学—概率论与数理统计] V231.3[理学—数学]