中心进气旋转盘腔换热特性对无量纲参数的敏感性分析

针对早期旋转盘腔换热特性研究中常忽略压缩性和耗散效应影响的研究方法，在定几何、常物性、可压缩、有耗散假设下，对描述旋转盘腔系统的控制方程进行了无量纲分析，得到除无量纲空间位置外的7个无量纲准则数。利用数值模拟的方法探究了中心进气转静系盘腔换热特性对7个无量纲参数的敏感性。结果表明：在本文研究的某些工况内，反映进口耗散效应的埃克特准则与反映转盘热边界的基比切夫准则以及固体的无量纲导热系数对努塞尔数的影响程度与旋转雷诺准则同量级。根据本文分析结果，给出了早期旋转盘腔换热特性研究成果在先进航空发动机旋转盘腔设计工作中应用的注意事项和工程建议。

Sensibility analysis of heat transfer characteristics to dimensionless criterion in central inlet rotating disk cavity

The early research method of rotating disk cavity heat transfer characteristics ignores the influence of compressibility and dissipation. To solve this problem, the governing equation describing the rotating disk cavity system is nondimensionalized under the assumptions of fixed geometry, constant physical property, being compressible, and being dissipative. Analysis yields 7 dimensionless criteria in addition to the dimensionless spatial location. The numerical simulation method is used to investigate the sensitivity of the heat transfer characteristics of the central inlet rotating disk cavity. The results show that in some working conditions, the Eckert criterion reflecting the inlet dissipation effect, the Kibitche criterion reflecting the thermal boundary influence of the disk, and the dimensionless thermal conductivity of the solid have the same magnitude of influence on the Nusselt number as the rotating Reynolds criterion. Based on the analyses this paper offers the precautions and engineering suggestions for the application of early rotating disk cavity heat transfer study results in the design of advanced aero-engine rotating disk cavity.