AIAA Receptivity to Freestream Disturbances of a Mach 10 Nonequilibrium Reacting Oxygen Flow over A Flat Plate
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1 42nd AIAA Aerospace Sciences Meeting and Exhibit 5-8 January 2004, Reno, Nevada AIAA AIAA Receptivity to Freestream Disturbances of a Mach 0 Nonequilibrium Reacting Oxygen Flow over A Flat Plate Yanbao Ma and Xiaolin Zhong University of California, Los Angeles January 5 8, 2004 / Reno, NV For permission to copy or republish, contact the American Institute of Aeronautics and Astronautics 80 Alexander Bell Drive, Suite 500, Reston, Virginia Copyright 2004 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
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12 8.0 T / T 5.0 T (perfect gas) T (nonequilibrium flow) T v (nonequilibrium flow) 0.0 M 9.5 M 2 (perfect gas) M 2 (nonequilibrium flow) Shock position (perfect gas) Shock position (nonequilibrium flow) y / L u / u p / p Perfect gas Nonequilibrium flow.8.6 Perfect gas Nonequilibrium flow y / L.0 T / T p / p.8.6 Perfect gas Nonequilibrium flow 4.0 Perfect gas Nonequilibrium flow (T) Nonequilibrium flow (T v ) y / L
13 C o a / u. mode I () (F = 5.0e-5) mode I (2) (F = 5.0e-5) Mack modes (F = 5.0e-5) mode I () (F = 3.98e-5) mode I (2) (F = 3.98e-5) Mack modes (F = 3.98e-5) + M 0.04 st mode 2nd mode M ω 0.06 C o 0.00 α i mode I () (F = 5.0e-5) mode I (2) (F = 5.0e-5) Mack modes (F = 5.0e-5) mode I () (F = 3.98e-5) mode I (2) (F = 3.98e-5) Mack modes (F = 3.98e-5) + M M y / L st mode 2nd mode ω F 5.0E-4 4.0E-4 3.0E-4 F = 0.825e-4 F = 0.5e-4 4.0E E-04 n= n= 2 n= 3 n= 4 n= 5 2.0E-4 2.0E-04.0E-4.0E E R
14 3.2E E E-03 n= 6 n= 7 n= 8 n= 9 n=0 4.5E-04 n= 6 n= 7 n= 8 n= 9 n=0.6e E E-04.5E-04.6E-03.2E-03 n= n=2 n=3 n=4 n=5 2.8E-04 n= n=2 n=3 n=4 n=5 2.E E-04.4E E E E-04.5E-04 n= n= 2 n= 3 n= 4 n= 5 a / u.2 LST (mode I ()) LST (Mack modes) Simulation (Mack modes) Simulation (mode I). + M.0E-04 st mode 5.0E M 0.8
15 a / u.2 LST (mode I ()) LST (mode I (2)) LST (Mack modes) Simulation (Mack modes) Simulation (mode I). + M 8.0E E-04 Fast acoustic waves (θ = 0) Perfect gas ( j = ) Nonequilibrium flow ( j = ) Perfect gas ( j = 2 ) Nonequilibrium flow ( j = 2 ) 3.0E E-03 Slow acoustic waves (θ = 0) Perfect gas ( j = ) Nonequilibrium flow ( j = ) Perfect gas ( j = 2 ) Nonequilibrium flow ( j = 2 ) st mode 2nd mode 4.0E M 2.0E-04.0E (a) (b).2 LST (mode I ()) LST (mode I (2)) LST (Mack modes) LST (mode II) Simulation (Mack modes) Simulation (mode I). a / u + M.2 a / u. Fast acoustic waves (θ = 0) LST (mode I ()) LST (mode I (2)) LST (Mack modes) DNS (perfect gas) DNS (nonequilibrium flow) + /M.2 a / u. Slow acoustic waves (θ = 0) LST (mode I ()) LST (mode I (2)) LST (Mack modes) DNS (perfect gas) DNS (nonequilibrium flow) + /M st mode 2nd mode st mode 2nd mode 2nd mode M /M 0.9 -/ M 0.8 (a) 0.8 (b) E-03 α i.0e-03 LST (n = 8) LST (n = 8) LST (n = 8) DNS (n = 8) DNS (n = 0) DNS (n = 5) 36.0 u u r (Simulation) 8.0 u i (Simulation) u r (2nd mode, LST) u i (2nd mode, LST) y / L20 (a) 30.0 v v r (Simulation) 20.0 v i (Simulation) v r (2nd mode, LST) 0.0 v i (2nd mode, LST) y / L20 (b).5 p p r (Simulation) p i (Simulation) p r (2nd mode,lst) p i (2nd mode,lst) 8E3 T 4E3 0E0 T r (Simulation) T i (Simulation) T r (2nd mode,lst) T i (2nd mode, LST) -.0E y / L20 (c) -4E y / L20 (d) -2.0E-03
16 7.5E E-04 Fast acoustic waves (perfect gas) θ = 0 o θ = 22.5 o θ = 45 o θ = 67.5 o 7.5E E-04 Fast acoustic waves (nonequilibrium flow) θ = 0 o θ = 22.5 o θ = 45 o θ = 67.5 o.6e-03.2e E-04 Fast acoustic waves (pefect gas) n= n= 2 n= 3 n= 4 n= 5.6E-03.2E E-04 Fast acoustic waves (nonequilibrium flow) 2.5E (a) E (b) 4.0E-04 (a) 4.0E-04 n= n= 2 n= 3 n= 4 n= 5 (b).5e-03.0e-03 Slow acoustic waves (perfect gas) θ = 0 o θ = 22.5 o θ = 45 o θ = 67.5 o 2.4E-03.8E-03 Slow acoustic waves (nonequilibrium flow) θ = 0 o θ = 22.5 o θ = 45 o θ = 67.5 o.6e-03.2e-03 Fast acoustic waves (pefect gas) n= 6 n= 7 n= 8 n= 9 n=0.6e-03.2e-03 Fast acoustic waves (nonequilibrium flow) n= 6 n= 7 n= 8 n= 9 n=0.2e E E E E E E-04 (a) (b) (c) (d) 5 Response coefficient (K s ) 0 5 Receptivity to slow acoustic waves Perfect gas Noequibrium flow 6.0E E E-04 Fast acoustic waves (pefect gas) n= n=2 n=3 n=4 n=5 6.0E E E-04 Fast acoustic waves (nonequilibrium flow) n= n=2 n=3 n=4 n=5.5e-04.5e θ (degree) (e) (f)
17 .5E-03 Slow acoustic waves (pefect gas).5e-03 Slow acoustic waves (nonequilibrium flow).0e-03.0e-03 n= n= 2 n= 3 n= 4 n= 5 5.0E-04 n= n= 2 n= 3 n= 4 n= 5 (a) 5.0E-04 (b) 25 Receptivity to slow acoustic waves Pefect gas Noequilibrium flow 5.0E E E E-03 Slow acoustic waves (pefect gas) n= 6 n= 7 n= 8 n= 9 n=0 5.0E E E E-03 Slow acoustic waves (nonequilibrium flow) n= 6 n= 7 n= 8 n= 9 n=0 Response coefficient (K s ) E-03.0E-03 5 (c) (d) f* (k Hz) 2.0E-03.5E-03 Slow acoustic waves (pefect gas) n= n=2 n=3 n=4 n=5 2.0E-03.5E-03 Slow acoustic waves (nonequilibrium flow) n= n=2 n=3 n=4 n=5.0e-03.0e E E-04 (e) (f)
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