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Stagnation enthalpy effects on hypersonic turbulent compression corner flow at moderate Reynolds numbers
Phys. Rev. Fluids 9, 033401 – Published 18 March, 2024
DOI: https://doi.org/10.1103/PhysRevFluids.9.033401
Abstract
The effects of stagnation enthalpy on a hypersonic boundary layer developing over a compression ramp are analyzed in this work using direct numerical simulations. Separate sets of simulations with different values of free-stream temperature, wall-cooling rate, and edge Mach number are carried out to evaluate and isolate stagnation enthalpy effects. Moreover, these sets of calculations are performed with and without vibrational excitation to further characterize the impact of this thermodynamic phenomenon on the flow. The presented calculations show that the variation of stagnation enthalpy and the presence of vibrational excitation are not able to qualitatively alter the structure of the flow. From a quantitative point of view, it is shown that the variation of the thermodynamic state of the gas can cause a 10% variation in the skin-friction coefficient, a 20% decrease in wall heat flux, and a shift in the typical frequencies of wall-pressure fluctuations by a factor of 2 toward higher frequencies.
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References (46)
- J. D. Anderson, Jr., Hypersonic and High-Temperature Gas Dynamics, 3rd ed. (AIAA Press, Reston, VA, 2006).
- I. A. Leyva, The relentless pursuit of hypersonic flight, Phys. Today 70, 30 (2017).
- J. Urzay, Supersonic combustion in air-breathing propulsion systems for hypersonic flight, Annu. Rev. Fluid Mech. 50, 593 (2018).
- G. V. Candler, Rate effects in hypersonic flows, Annu. Rev. Fluid Mech. 51, 379 (2019).
- M. Bernardini and S. Pirozzoli, Wall pressure fluctuations beneath supersonic turbulent boundary layers, Phys. Fluids 23, 085102 (2011).
- C. Wenzel, T. Gibis, and M. Kloker, About the influences of compressibility, heat transfer and pressure gradients in compressible turbulent boundary layers, J. Fluid Mech. 930, A1 (2022).
- M. P. Martin, Direct numerical simulation of hypersonic turbulent boundary layers, Part 1. Initialization and comparison with experiments, J. Fluid Mech. 570, 347 (2007).
- L. Duan, I. Beekman, and M. P. Martin, Direct numerical simulation of hypersonic turbulent boundary layers, Part 2. Effect of wall temperature, J. Fluid Mech. 655, 419 (2010).
- L. Duan and M. P. Martin, Direct numerical simulation of hypersonic turbulent boundary layers, Part 4. Effect of high enthalpy, J. Fluid Mech. 684, 25 (2011).
- C. Zhang, L. Duan, and M. M. Choudhari, Direct numerical simulation database for supersonic and hypersonic turbulent boundary layers, AIAA J. 56, 4297 (2018).
- M. Cogo, F. Salvadore, F. Picano, and M. Bernardini, Direct numerical simulation of supersonic and hypersonic turbulent boundary layers at moderate-high Reynolds numbers and isothermal wall condition, J. Fluid Mech. 945, A30 (2022).
- A. Trettel and J. Larsson, Mean velocity scaling for compressible wall turbulence with heat transfer, Phys. Fluids 28, 026102 (2016).
- P. S. Volpiani, P. S. Iyer, S. Pirozzoli, and J. Larsson, Data-driven compressibility transformation for turbulent wall layers, Phys. Rev. Fluids 5, 052602(R) (2020).
- K. P. Griffin, L. Fu, and P. Moin, Velocity transformation for compressible wall-bounded turbulent flows with and without heat transfer, Proc. Natl. Acad. Sci. USA 118, e2111144118 (2021).
- Y. Fan, W. Li, and S. Pirozzoli, Decomposition of the mean friction drag in zero-pressure-gradient turbulent boundary layers, Phys. Fluids 31, 086105 (2019).
- A. Kianfar, M. Di Renzo, C. T. Williams, A. Elnahhas, and P. L. Johnson, Angular momentum and moment of enthalpy integral equations for compressible boundary layers, Phys. Rev. Fluids 8, 054603 (2023).
- S. Pirozzoli and M. Bernardini, Direct numerical simulation database for impinging shock wave/turbulent boundary-layer interaction, AIAA J. 49, 1307 (2011).
- P. S. Volpiani, M. Bernardini, and J. Larsson, Effects of a nonadiabatic wall on hypersonic shock/boundary-layer interactions, Phys. Rev. Fluids 5, 014602 (2020).
- D. V. Gaitonde, Progress in shock wave/boundary layer interactions, Prog. Aerosp. Sci. 72, 80 (2015).
- S. Priebe and M. P. Martin, Turbulence in a hypersonic compression ramp flow, Phys. Rev. Fluids 6, 034601 (2021).
- M. C. Adler and D. V. Gaitonde, Dynamics of strong swept-shock/turbulent-boundary-layer interactions, J. Fluid Mech. 896, A29 (2020).
- A. Ceci, A. Palumbo, J. Larsson, and S. Pirozzoli, On low-frequency unsteadiness in swept shock wave-boundary layer interactions, J. Fluid Mech. 956, R1 (2023).
- M. Di Renzo and J. Urzay, Direct numerical simulation of a hypersonic transitional boundary layer at suborbital enthalpies, J. Fluid Mech. 912, A29 (2021).
- D. Passiatore, L. Sciacovelli, P. Cinnella, and G. Pascazio, Thermochemical non-equilibrium effects in turbulent hypersonic boundary layers, J. Fluid Mech. 941, A21 (2022).
- D. Passiatore, L. Sciacovelli, P. Cinnella, and G. Pascazio, Shock impingement on a transitional hypersonic high-enthalpy boundary layer, Phys. Rev. Fluids 8, 044601 (2023).
- M. Di Renzo, L. Fu, and J. Urzay, HTR solver: An open-source exascale-oriented task-based multi-GPU high-order code for hypersonic aerothermodynamics, Comput. Phys. Commun. 255, 107262 (2020).
- M. Di Renzo and S. Pirozzoli, HTR-1.2 solver: Hypersonic task-based research solver version 1.2, Comput. Phys. Commun. 261, 107733 (2021).
- M. Di Renzo, HTR-1.3 solver: Predicting electrified combustion using the hypersonic task-based research solver, Comput. Phys. Commun. 272, 108247 (2022).
- B. J. McBride, M. J. Zehe, and S. Gordon, NASA/TP-2002-211556, Tech. Rep. (NASA, 2002).
- S. Pirozzoli, Stabilized non-dissipative approximations of Euler equations in generalized curvilinear coordinates, J. Comput. Phys. 230, 2997 (2011).
- S. Pirozzoli, Generalized conservative approximations of split convective derivative operators, J. Comput. Phys. 229, 7180 (2010).
- L. Fu, X. Y. Hu, and N. A. Adams, A family of high-order targeted ENO schemes for compressible-fluid simulations, J. Comput. Phys. 305, 333 (2016).
- C. T. Williams, M. Di Renzo, and P. Moin, Center for Turbulence Research, 203 Annual Research Briefs, Tech. Rep. (Center for Turbulence Research, Stanford, 2022).
- S. Gottlieb, C.-W. Shu, and E. Tadmor, Strong stability-preserving high-order time discretization methods, SIAM Rev. 43, 89 (2001).
- T. S. Lund, X. Wu, and K. D. Squires, On the generation of turbulent inflow conditions for boundary layer simulations, J. Comput. Phys. 140, 233 (1998).
- T. J. Poinsot and S. K. Lele, Boundary conditions for direct simulations of compressible viscous flows, J. Comput. Phys. 101, 104 (1992).
- J. Urzay and M. Di Renzo, Center for Turbulence Research Annual Research Briefs, Tech. Rep. (Center for Turbulence Research, Stanford, 2020).
- E. R. van Driest, The problem of aerodynamic heating, Aeronaut. Eng. Rev. 15, 26 (1956).
- Y. S. Zhang, W. T. Bi, F. Hussain, and Z. S. She, A generalized Reynolds analogy for compressible wall-bounded turbulent flows, J. Fluid Mech. 739, 392 (2014).
- K. P. Griffin, L. Fu, and P. Moin, Near-wall model for compressible turbulent boundary layers based on an inverse velocity transformation, J. Fluid Mech. 970, A36 (2023).
- F. M. White, Viscous Fluid Flow, 2nd ed. (McGraw-HiII, New York, 1992).
- M. Di Renzo, N. Oberoi, J. Larsson, and S. Pirozzoli, Crossflow effects on shock wave/turbulent boundary layer, Theor. Comput. Fluid Dyn. 36, 327 (2022).
- J. Larsson, V. Kumar, N. Oberoi, M. Di Renzo, and S. Pirozzoli, Large-eddy simulations of idealized shock/boundary-layer with crossflow, AIAA J. 60, 2767 (2022).
- J. Larsson, I. Bermejo-Moreno, and S. K. Lele, Reynolds- and Mach-number effects in canonical shock-turbulence interaction, J. Fluid Mech. 717, 293 (2013).
- D. A. Donzis, Shock structure in shock-turbulence interactions, Phys. Fluids 24, 126101 (2012).
- M. Wu and M. P. Martin, Direct numerical simulation of supersonic turbulent boundary layer over a compression ramp, AIAA J. 45, 879 (2007).