LIU Pengxin, LI Chen, SUN Dong, et al. Statistical characteristics of high-temperature turbulent boundary layer considering chemical non-equilibrium effect[J]. 2022, 40(4): 124-131.
LIU Pengxin, LI Chen, SUN Dong, et al. Statistical characteristics of high-temperature turbulent boundary layer considering chemical non-equilibrium effect[J]. 2022, 40(4): 124-131.DOI: 10.7638/kqdlxxb-2020.0178.
Statistical characteristics of high-temperature turbulent boundary layer considering chemical non-equilibrium effect
When flying at extremely high Mach numbers at low and medium altitudes
the new hypersonic vehicles will encounter a complicated flow environment
i.e. the coupling between turbulence and chemical non-equilibrium. However
there are only very few related studies so far. In this work
direct numerical simulations (DNS) were performed for the high-temperature and non-equilibrium turbulent boundary layer after the leading shock of a cone using two different gas models
i.e. the calorically perfect gas model and the chemical non-equilibrium gas model. The Walz equation
the strong Reynolds analogy (SRA) relation
the turbulent kinetic energy production-dissipation mechanism and the compressibility effects were compared and analyzed. The results show that the weak compressibility hypothesis still holds in the chemical non-equilibrium turbulent boundary layer. When using the relation between the non-dimensional recovery enthalpy and the velocity
effects of the Mach number
the chemical reaction
etc. can be eliminated
and the prediction agrees well with the DNS result. GHSRA (Generalized Huang’s SRA) is appropriate to describe the relation between the temperature fluctuation and the velocity fluctuation. The ‘semi-local’ scaling can collapse the distribution profiles of the turbulent kinetic energy budgets under different flow conditions. The compressibility effect caused by the chemical non-equilibrium and the high Mach number is limited.
关键词
Keywords
references
MORKOVIN M V. Effects of compressibility on turbulent flows[R]// Favre A. (ed. ). Mécanique la Turbul. CNRS, Paris, 1996: 368-391.
GUARINI S E, MOSER R D, SHARIFF K, et al. Direct numerical simulation of a supersonic turbulent boundary layer at Mach 2.5[J]. Journal of Fluid Mechanics, 2000, 414: 1-33. DOI:10.1017/s0022112000008466
PIROZZOLI S, GRASSO F, GATSKI T B. Direct numerical simulation and analysis of a spatially evolving supersonic turbulent boundary layer at M = 2.25[J]. Physics of Fluids, 2004, 16(3): 530-545. DOI:10.1063/1.1637604
MCGINLEY C B, SPINA E F, SHEPLAK M. Turbulence measurements in a Mach 11 helium boundary layer[C]//Fluid Dynamics Conference, Colorado Springs, CO. Reston, Virginia: AIAA, 1994. doi: 10.2514/6.1994-2364
SAHOO D, SCHULTZE M, SMITS A J. Effects of roughness on a turbulent bloundary layer in hypersonic flow[C]//39th AIAA Fluid Dynamics Conference, San Antonio, Texas. Reston, Virginia: AIAA, 2009. AIAA 2009-3678. doi: 10.2514/6.2009-3678
MAEDER T, ADAMS N A, KLEISER L. Direct simulation of turbulent supersonic boundary layers by an extended temporal approach[J]. Journal of Fluid Mechanics, 2001, 429: 187-216. DOI:10.1017/s0022112000002718
DUAN L, BEEKMAN I, MARTÍN M P. Direct numerical simulation of hypersonic turbulent boundary layers. Part 3. Effect of Mach number[J]. Journal of Fluid Mechanics, 2011, 672: 245-267. DOI:10.1017/s0022112010005902
DUAN L, BEEKMAN I, MARTÍN M P. Direct numerical simulation of hypersonic turbulent boundary layers. Part 2. Effect of wall temperature[J]. Journal of Fluid Mechanics, 2010, 655: 419-445. DOI:10.1017/s0022112010000959
GAVIGLIO J. Reynolds analogies and experimental study of heat transfer in the supersonic boundary layer[J]. International Journal of Heat and Mass Transfer, 1987, 30(5): 911-926. DOI:10.1016/0017-9310(87)90010-X
RUBESIN M W. Extra compressibility terms for Favre-averaged two-equation models of inhomogeneous turbulent flows[R]. NASA CR- 177556, 1990. https://ntrs.nasa.gov/api/citations/19900014385/downloads/19900014385.pdf
HUANG P G, COLEMAN G N, BRADSHAW P. Compressible turbulent channel flows: DNS results and modelling[J]. Journal of Fluid Mechanics, 1995, 305: 185-218. DOI:10.1017/s0022112095004599
DUAN L, MARTÍN M P. Direct numerical simulation of hypersonic turbulent boundary layers. Part 4. Effect of high enthalpy[J]. Journal of Fluid Mechanics, 2011, 684: 25-59. DOI:10.1017/jfm.2011.252
PILBUM KIM. Non-equilibrium effects on hypersonic turbulent boundary layers[D]. Los Angeles: University of California, 2016. https://escholarship.org/uc/item/6mb1p42d
LIU P X, YUAN X X, SUN D, et al. DNS of high-temperature turbulent boundary layer with chemical nonequilibrium [J]. Acta Aeronautica et Astronautica Sinica, 2021, 42: 24877(in Chinese).
SHE Z S, SU W D. Hierarchical structures and scalings in turbulence[J]. Advances in Mechanics, 1999, 29(3): 289-303(in Chinese).
LIU P X, GUO Q L, SUN D, et al. Wall effect on the flow structures of three-dimensional rotating detonation wave[J]. International Journal of Hydrogen Energy, 2020, 45(53): 29546-29559. DOI:10.1016/j.ijhydene.2020.07.196
CASTRO M, COSTA B, DON W S. High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws[J]. Journal of Computational Physics, 2011, 230(5): 1766-1792. DOI:10.1016/j.jcp.2010.11.028
GUPTA R N, YOS J M, THOMPSON R A, et al. A review of reaction rates and thermodynamic and transport properties for an 11-species air model for chemical and thermal nonequilibrium calculations to 30000 K[R]. NASA-TM-101528, 1989. https://ntrs.nasa.gov/api/citations/19890011822/downloads/19890011822.pdf
MENTER F R. Two-equation eddy-viscosity turbulence models for engineering applications[J]. AIAA Journal, 1994, 32(8): 1598-1605. DOI:10.2514/3.12149
ADLER M C, GONZALEZ D R, STACK C M, et al. Synthetic generation of equilibrium boundary layer turbulence from modeled statistics[J]. Computers Fluids, 2018, 165: 127-143. DOI:10.1016/j.compfluid.2018.01.003
SUBBAREDDY P, CANDLER G. DNS of transition to turbulence in a hypersonic boundary layer[C]// 41st AIAA Fluid Dynamics Conference and Exhibit, Honolulu, Hawaii. Reston, Virginia: AIAA, 2011. AIAA 2011-3564. doi: 10.2514/6.2011-3564
PIROZZOLI S, BERNARDINI M, GRASSO F. Characterization of coherent vortical structures in a supersonic turbulent boundary layer[J]. Journal of Fluid Mechanics, 2008, 613: 205-231. DOI:10.1017/s0022112008003005
WALZ A. Boundary layers of flow and temperature [M]. MIT press, 1969.
MARTIN M P. Direct numerical simulation of hypersonic turbulent boundary layers. Part 1. Initialization and comparison with experiments[J]. Journal of Fluid Mechanics, 2007, 570: 347-364. DOI:10.1017/s0022112006003107
LIANG X, LI X L, FU D X, et al. DNS and analysis of a spatially evolving hypersonic turbulent boundary layer over a flat plate at Mach 8[J]. SCIENTIA SINICA Physica, Mechanica Astronomica, 2012, 42(3): 282-293. (in Chinese)
LIANG X, LI X L. DNS of a spatially evolving hypersonic turbulent boundary layer at Mach 8[J]. Science China Physics, Mechanics and Astronomy, 2013, 56(7): 1408-1418. DOI:10.1007/s11433-013-5102-9
LI X L, FU D X, MA Y W. Direct numerical simulation of a spatially evolving supersonic turbulent boundary layer at ma = 6[J]. Chinese Physics Letters, 2006, 23(6): 1519-1522. DOI:10.1088/0256-307x/23/6/045