2021/08/07 by Peng Zhang, Zhang, Peng, Yubin Song +3
Engineering · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Heat transfer and supercritical fluids #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.2108.03413
arxiv created 2021/08/07 · openalex publication_date 2021/08/07 · arxiv updated 2021/08/10 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
In this paper, several exact expressions for the mean heat flux at the wall (qw) for the compressible turbulent channel flows are derived by using the internal energy equation or the total energy equation. Two different routes, including the FIK method and the RD method, can be applied. The direct numerical simulations data of compressible channel flows at different Reynolds and Mach numbers verify the correctness of the derived formulas. Discussions related to the different energy equations, and different routes are carried out, and we may arrive at the conclusion that most of the formulas derived in the present work are just mathematically ones which generally are lack of clear physical interpretation. They can be used to estimate qw, but might not be suitable for explore the underlying physics.