Three-dimensional shock–flame interactions: effect of wall friction

Abstract

Multi-dimensional numerical simulations were performed to study the interactions between shock wave and premixed flame. The three-dimensional (3D) fully-compressible, reactive Navier–Stokes equations were solved using a high-order numerical method on a dynamically adapting mesh. The effect of wall friction on the shock–flame interaction was examined by varying wall boundary condition on sidewall. The simulations agree with previous experiment in terms of flame perturbation and flame evolution. The results show two effects of wall friction on flame–shock interaction: (1) flame stretching and (2) damping of local flame perturbation very close to the no-slip wall. The stretch effect leads to non-uniform development of the perturbated flame and consequently a significantly higher growth rate in both global flame perturbation and averaged pressure in the no-slip case compared to the free-slip case. By contrast, the damping effect locally moderates the flame perturbation in close proximity to the no-slip wall because less vorticity is deposited on this part of flame during shock–flame interaction. Quantitative analysis of vortex dynamics suggests that vorticity generation that is produced by baroclinic torque and enhanced by the dilation term during shock–flame interaction causes a growth of flame perturbation via Richtmyer–Meshkov instability. Nevertheless, the vorticity generation is greatly weakened in close proximity to the no-slip wall by the viscous torque and viscous dissipation terms due to friction.

Keywords:

• shock–flame interaction
• Richtmyer–Meshkov instability
• vorticity
• wall friction
• baroclinic torque

Acknowledgements

This study was supported by the National Natural Science Foundation of China (grant number 52211530436), the Fundamental Research Funds for the Central Universities (grant number WK2320000055) and the DNL Cooperation Fund, CAS (DNL202006). The authors acknowledge the computing resources provided by the Supercomputing Center of University of Science and Technology of China (USTC).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by Fundamental Research Funds for the Central Universities: [Grant Number WK2320000055]; National Key Research and Development Program of China: [Grant Number 2021YFB4000902]; the DNL Cooperation Fund: [Grant Number CAS (DNL202006)].