Modal analysis of trailing edge cutback film cooling

Abstract

Purpose

The purpose of this paper devoted to the application of modal analysis to analyze the flow structure of trailing edge cutback film cooling and the effects of vortex structure on the film cooling effectiveness of the cutback surface.

Design/methodology/approach

Large eddy simulation (LES) is used to simulate the trailing edge cutback film cooling. The results of LES are analyzed by proper orthogonal decomposition (POD) method and dynamic mode decomposition (DMD) method. The POD method is used to determine the dominated vortex structure and the energy level of these structures. The DMD method is used to analyze the relationship between vortex structures and wall temperature.

Findings

The POD method shows that the flow field consists of three main vortices – streamwise vortex, lip vortex and coolant vortex. The DMD results show that the lip vortex mainly acts on the middle section of the cutback surface, while the streamwise vortex mainly acts on the back section of the cutback surface.

Research limitations/implications

The modal analysis is only based on numerical simulation but the modal analysis of experimental results will be further studied in the future.

Practical implications

This paper presents the powerful ability of the modal analysis method to study complex flows in trailing edge cutback film cooling. Establishing the relationship between vortex and wall temperature by modal analysis method can provide a new idea for studying convective heat transfer problems.

Originality/value

The role of streamwise vortex in the flow of the trailing edge cutback cooling and its effect on the cooling effectiveness of the cutback surface is found.

Citation

Luo, Y., Wen, F., Hou, R., Wang, S., Wang, S. and Wang, Z. (2020), "Modal analysis of trailing edge cutback film cooling", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 8, pp. 3957-3983. https://doi.org/10.1108/HFF-09-2019-0673