Analysis of Wall Heat Flux of a Hypersonic Shock Wave / Boundary Layer Interaction with a Novel Decomposition Formula

TL;DR

This paper introduces a new heat decomposition formula for analyzing wall heat flux in hypersonic shock wave/boundary layer interactions, demonstrating its effectiveness in complex flow regions.

Contribution

A novel heat decomposition formula applicable to curvilinear coordinates and deformed grids is proposed, enhancing analysis of shock-boundary layer interactions.

Findings

Turbulent fluctuations significantly increase heat flux contributions.

Mean profile processes can be neglected in complex interactions.

Pressure work notably influences wall heat flux near reattachment points.

Abstract

The generation mechanism of wall heat flux is one of the fundamental problems in supersonic/hypersonic turbulent boundary layers. A novel heat decomposition formula under the curvilinear coordinate was proposed in this paper. The new formula has wider application scope and can be applied in the configurations with grid deformed. The wall heat flux of an interaction between shock wave and the turbulent boundary layer over a compression corner is analyzed by the new formula. The results indicated good performance of the formula in the complex interaction region. The contributions of different energy transport processes were obtained. The contributions by the turbulent fluctuations e.g., Reynolds stresses and turbulent transport of heat flux, were significantly increased, while the processes by the mean profile e.g., molecular stresses and heat conduction, can be neglected. In addition, the pressure work is another contributor to the wall heat flux and the streamwise component works mainly in the shear layer and the reattachment point, while pressure in the wall-normal direction is concentrated in the vicinity of the reattachment point.