Rarefaction effects on hypersonic boundary-layer stability

citation_journal_title=Annu. Rev. Fluid Mech.; citation_title=Linear stability theory applied to boundary layers; citation_author=H L Reed, W S Saric, D Arnal; citation_volume=28; citation_publication_date=1996; citation_pages=389; citation_doi=10.1146/annurev.fl.28.010196.002133; citation_id=CR1

citation_journal_title=Annu. Rev. Fluid Mech.; citation_title=Transition and stability of high-speed boundary layers; citation_author=A Fedorov; citation_volume=43; citation_publication_date=2011; citation_pages=79; citation_doi=10.1146/annurev-fluid-122109-160750; citation_id=CR2

citation_journal_title=Phys. Fluids; citation_title=Numerical study of supersonic boundary-layer modal stability for a slightly rarefied gas using Navier-Stokes approach; citation_author=J Ou, J Chen; citation_volume=33; citation_publication_date=2021; citation_pages=114107; citation_doi=10.1063/5.0065283; citation_id=CR3

citation_journal_title=Theor. Comput. Fluid Dyn.; citation_title=Linear stability analysis of hypersonic boundary layers computed by a kinetic approach: A semi-infinite flat plate at 4.5 ≤ M∞ ≤ 9; citation_author=A Klothakis, H Quintanilha, S S Sawant, E Protopapadakis, V Theofilis, D A Levin; citation_volume=36; citation_publication_date=2022; citation_pages=117; citation_doi=10.1007/s00162-021-00601-y; citation_id=CR4

citation_journal_title=Phys. Rev. E; citation_title=Influence of Knudsen and Mach numbers on Kelvin-Helmholtz instability; citation_author=V Mohan, A Sameen, B Srinivasan, S S Girimaji; citation_volume=103; citation_publication_date=2021; citation_pages=053104; citation_doi=10.1103/PhysRevE.103.053104; citation_id=CR5

citation_journal_title=Acta Aerodyn. Sin.; citation_title=Two problems in the transition and turbulence for near space hypersonic flying vehicles; citation_author=H Zhou, H X Zhang; citation_volume=35; citation_publication_date=2021; citation_pages=151; citation_id=CR6

citation_journal_title=Acta Mech. Sin.; citation_title=Rarefied gas effect in hypersonic shear flows; citation_author=J Chen, H Zhou; citation_volume=37; citation_publication_date=2021; citation_pages=2; citation_doi=10.1007/s10409-021-01051-9; citation_id=CR7

citation_journal_title=Phys. Fluids; citation_title=Predicting continuum breakdown in hypersonic viscous flows; citation_author=W L Wang, I D Boyd; citation_volume=15; citation_publication_date=2003; citation_pages=91; citation_doi=10.1063/1.1524183; citation_id=CR8

citation_journal_title=AIP Conf. Proc.; citation_title=Molecular dynamics simulations of high speed rarefied gas flows; citation_author=N Dongari, Y Zhang, J M Reese; citation_volume=1501; citation_publication_date=2012; citation_pages=895; citation_doi=10.1063/1.4769637; citation_id=CR9

citation_journal_title=Phys. Fluids; citation_title=Nonlinear transport of rarefied Couette flows from low speed to high speed; citation_author=J Ou, J Chen; citation_volume=32; citation_publication_date=2020; citation_pages=112021; citation_doi=10.1063/5.0029680; citation_id=CR10

citation_journal_title=Philos. Trans. R. Soc. London; citation_title=On stresses in rarefied gases arising from inequalities of temperature; citation_author=J C Maxwell; citation_volume=170; citation_publication_date=1879; citation_pages=304; citation_id=CR11

citation_journal_title=Annalen der Physik und Chemie; citation_title=Ueber wärmeleitung in verdünnten gasen; citation_author=M von Smoluchowski; citation_volume=64; citation_publication_date=1898; citation_pages=101; citation_doi=10.1002/andp.18983000110; citation_id=CR12

citation_journal_title=J. Thermophys. Heat Transfer; citation_title=Velocity slip and temperature jump in hypersonic aerothermodynamics; citation_author=A J Lofthouse, L C Scalabrin, I D Boyd; citation_volume=22; citation_publication_date=2008; citation_pages=38; citation_doi=10.2514/1.31280; citation_id=CR13

citation_journal_title=Microfluid Nanofluid; citation_title=A review on slip models for gas microflows; citation_author=W M Zhang, G Meng, X Wei; citation_volume=13; citation_publication_date=2012; citation_pages=845; citation_doi=10.1007/s10404-012-1012-9; citation_id=CR14

citation_journal_title=Proc. London Math. Soc.; citation_title=The distribution of velocities in a slightly non-uniform gas; citation_author=D Burnett; citation_volume=s2–39; citation_publication_date=1935; citation_pages=385; citation_doi=10.1112/plms/s2-39.1.385; citation_id=CR15

citation_journal_title=Comm. Pure Appl. Math.; citation_title=On the kinetic theory of rarefied gases; citation_author=H Grad; citation_volume=2; citation_publication_date=1949; citation_pages=331; citation_doi=10.1002/cpa.3160020403; citation_id=CR16

citation_journal_title=Annu. Rev. Fluid Mech.; citation_title=Modeling nonequilibrium gas flow based on moment equations; citation_author=M Torrilhon; citation_volume=48; citation_publication_date=2016; citation_pages=429; citation_doi=10.1146/annurev-fluid-122414-034259; citation_id=CR17

citation_title=Molecular Gas Dynamics and the Direct Simulation of Gas Flows; citation_publication_date=1994; citation_id=CR18; citation_author=G A Bird; citation_publisher=Oxford University Press

citation_title=A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes; citation_publication_date=2021; citation_id=CR19; citation_author=K Xu; citation_publisher=Cambridge University Press

citation_journal_title=Acta Mech. Sin.; citation_title=Progress of the unified wave-particle methods for non-equilibrium flows from continuum to rarefied regimes; citation_author=S Liu, K Xu, C Zhong; citation_volume=38; citation_publication_date=2022; citation_pages=122123; citation_doi=10.1007/s10409-022-22123-x; citation_id=CR20

citation_journal_title=Annu. Rev. Fluid Mech.; citation_title=Direct numerical simulation on the receptivity, instability, and transition of hypersonic boundary layers; citation_author=X Zhong, X Wang; citation_volume=44; citation_publication_date=2012; citation_pages=527; citation_doi=10.1146/annurev-fluid-120710-101208; citation_id=CR21

L. Lees, and C. C. Lin, Investigation of the Stability of the Laminar Boundary Layer in a Compressible Fluid, NACA Report No. TN 1115 (1946).

citation_journal_title=AIAA J.; citation_title=Linear stability theory and the problem of supersonic boundary-layer transition; citation_author=L M Mack; citation_volume=13; citation_publication_date=1975; citation_pages=278; citation_doi=10.2514/3.49693; citation_id=CR23

L. M. Mack, Boundary-Layer Linear Stability Theory, Technical Report No. AGARD-R-709 (1984).

citation_journal_title=J. Fluid Mech.; citation_title=On the first-mode instability in subsonic, supersonic or hypersonic boundary layers; citation_author=F T Smith; citation_volume=198; citation_publication_date=1989; citation_pages=127; citation_doi=10.1017/S0022112089000078; citation_id=CR25

citation_journal_title=Theoret. Comput. Fluid Dyn.; citation_title=On the inviscid acoustic-mode instability of supersonic shear flows; citation_author=L M Mack; citation_volume=2; citation_publication_date=1990; citation_pages=97; citation_doi=10.1007/BF00272137; citation_id=CR26

citation_journal_title=Theor. Comput. Fluid Dyn.; citation_title=Prehistory of instability in a hypersonic boundary layer; citation_author=A V Fedorov, A P Khokhlov; citation_volume=14; citation_publication_date=2001; citation_pages=359; citation_doi=10.1007/s001620100038; citation_id=CR27

citation_journal_title=J. Eng. Math.; citation_title=Receptivity of inviscid modes in supersonic boundary layers to wall perturbations; citation_author=Y Liu, M Dong, X Wu; citation_volume=128; citation_publication_date=2021; citation_pages=20; citation_doi=10.1007/s10665-021-10124-4; citation_id=CR28

citation_journal_title=J. Fluid Mech.; citation_title=Generation of first Mack modes in supersonic boundary layers by slow acoustic waves interacting with stream-wise isolated wall roughness; citation_author=Y Liu, M Dong, X Wu; citation_volume=888; citation_publication_date=2020; citation_pages=A10; citation_doi=10.1017/jfm.2020.38; citation_id=CR29

citation_journal_title=J. Fluid Mech.; citation_title=Receptivity of inviscid modes in supersonic boundary layers due to scattering of free-stream sound by localised wall roughness; citation_author=M Dong, Y Liu, X Wu; citation_volume=896; citation_publication_date=2020; citation_pages=A23; citation_doi=10.1017/jfm.2020.358; citation_id=CR30

citation_journal_title=Comput. Fluids; citation_title=Effects of wall temperature on boundary layer stability over a blunt cone at Mach 7.99; citation_author=X Liang, X Li, D Fu, Y Ma; citation_volume=39; citation_publication_date=2010; citation_pages=359; citation_doi=10.1016/j.compfluid.2009.09.015; citation_id=CR31

citation_journal_title=Acta Mech. Sin.; citation_title=Effects of nose bluntness on entropy-layer stabilities over cones and wedges; citation_author=B Wan, J Chen, G Tu, X Xiang, X Yuan, M Duan; citation_volume=39; citation_publication_date=2023; citation_pages=122176; citation_doi=10.1007/s10409-022-22176-x; citation_id=CR32

citation_journal_title=Phys. Fluids A-Fluid Dyn.; citation_title=Real gas effects on hypersonic boundary-layer stability; citation_author=M R Malik, E C Anderson; citation_volume=3; citation_publication_date=1991; citation_pages=803; citation_doi=10.1063/1.858012; citation_id=CR33

citation_journal_title=AIAA J.; citation_title=Parabolized stability analysis of hypersonic thermal-chemical nonequilibrium boundary-layer flows; citation_author=X Chen, L Wang, S Fu; citation_volume=59; citation_publication_date=2021; citation_pages=2382; citation_doi=10.2514/1.J059994; citation_id=CR34

citation_journal_title=Phys. Fluids; citation_title=A note on the stability of slip channel flows; citation_author=E Lauga, C Cossu; citation_volume=17; citation_publication_date=2005; citation_pages=088106; citation_doi=10.1063/1.2032267; citation_id=CR35

citation_journal_title=Phys. Fluids; citation_title=Stability of slip channel flow revisited; citation_author=C Chai, B Song; citation_volume=31; citation_publication_date=2019; citation_pages=084105; citation_doi=10.1063/1.5108804; citation_id=CR36

citation_journal_title=Phys. Fluids; citation_title=Linear stability and energy stability of plane Poiseuille flow with isotropic and anisotropic slip boundary conditions; citation_author=X Xiong, J Tao; citation_volume=32; citation_publication_date=2020; citation_pages=094104; citation_doi=10.1063/5.0015737; citation_id=CR37

citation_journal_title=Eur. Phys. J. Plus; citation_title=Linear stability analysis of laminar flow near a stagnation point in the slip flow regime; citation_author=E Essaghir, A Oubarra, J Lahjomri; citation_volume=132; citation_publication_date=2017; citation_pages=545; citation_doi=10.1140/epjp/i2017-11824-x; citation_id=CR38

citation_journal_title=Phys. Fluids; citation_title=A numerical study on the natural transition locations in the flat-plate boundary layers on superhydrophobic surfaces; citation_author=B Liu, Y Zhang; citation_volume=32; citation_publication_date=2020; citation_pages=124103; citation_doi=10.1063/5.0030713; citation_id=CR39

citation_journal_title=Fluids; citation_title=Stability analysis on nonequilibrium supersonic boundary layer flow with velocity-slip boundary conditions; citation_author=X He, K Zhang, C Cai; citation_volume=4; citation_publication_date=2019; citation_pages=142; citation_doi=10.3390/fluids4030142; citation_id=CR40

citation_journal_title=Phys. Fluids; citation_title=A new linear stability analysis approach for microchannel flow based on the Boltzmann Bhatnagar-Gross-Krook equation; citation_author=S Zou, C Zhong, L Bi, X Yuan, Z Tang; citation_volume=34; citation_publication_date=2022; citation_pages=124114; citation_doi=10.1063/5.0131135; citation_id=CR41

citation_journal_title=Comput. Fluids; citation_title=DSMC data-improved numerical simulation of hypersonic flow past a flat plate in near-continuum regime; citation_author=J Ou, J Chen; citation_volume=194; citation_publication_date=2019; citation_pages=104308; citation_doi=10.1016/j.compfluid.2019.104308; citation_id=CR42

citation_journal_title=AIAA J.; citation_title=Hypersonic aerodynamics of blunt plates in near-continuum regime by improved Navier-Stokes model; citation_author=J Ou, J Chen; citation_volume=58; citation_publication_date=2020; citation_pages=4037; citation_doi=10.2514/1.J059333; citation_id=CR43

citation_journal_title=Phys. Rev. A; citation_title=Hilbert-class or “normal” solutions for stationary heat flow; citation_author=C S Kim, J W Dufty, A Santos, J J Brey; citation_volume=39; citation_publication_date=1989; citation_pages=328; citation_doi=10.1103/PhysRevA.39.328; citation_id=CR44

citation_title=Kinetic Theory of Gases in Shear Flows: Nonlinear Transport; citation_publication_date=2003; citation_id=CR45; citation_author=V Garzó; citation_author=A Santos; citation_publisher=Springer Science & Business Media

citation_journal_title=J. Comput. Phys.; citation_title=Numerical methods for hypersonic boundary layer stability; citation_author=M R Malik; citation_volume=86; citation_publication_date=1990; citation_pages=376; citation_doi=10.1016/0021-9991(90)90106-B; citation_id=CR46