Effect of periodic control frequency on wake vortices around 2D hump

Transcription

1 97 特集 注目研究 in CFD28 Effect of periodic control frequency on wake vortices around 2D ump Aiko YAKENO, Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency Sosi KAWAI, Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency Taku NONOMURA, Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency Kozo FUJII, Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency 1 1, 2) 3) 4 11) yakeno@flab.isas.jaxa.jp 40.0 ~ in Constant ~ 2 Constant Hump eigt Filtered ~ Free 33.0 (1) z = 1 ( [J 0 (A)I 0 A r ) ( I 0 (A)J 0 A r )] (1) a a J 0 I 0 0 A 日本流体力学会 A reprint from symposium proceedings, not an original paper

2 % δ in 1/4 2 u ρ µ Re (= ρ u /µ ) 4000 δ Re δ (= ρ u δ/µ ) DBD 12) 2 S model (2) f base f (2) rect(t) 1/f 0.01/f 2 2 S i = D c S Suzen,i (x, z) sin 2 (f base t) rect(t) (2) Dc 100 ū ind. (= ū ind. /u ) = 1.0 fbase (= f base/u ) = 240 f (= f /u ) = = p (= p/ρ u 2 ) ū t (= ū t /u ) η (= η/) 2 ū t / η 2 3 ( 2 ū t / η 2 = 0) ū p = Re z 2 x (3) ( 2 ū / z 2 = 0) ( p / z = 0) η 2 z/ tu inf/ Smodel,x ( (2)) p 2 ū t / η 2 ( 2 ū t / η 2 = 0) 2.2 ISAS/JAXA LANS3D 13, 14) 15) 16) 6 17) TVD 1.0 tu / = x sep / 4 f = 0.20 f = ) BAND1 BAND2 3.3 (ū, w )

3 99 (u, w ) 4 5 * Uncontrolled x / sep x sep. / ( p / z ) (f = 0.20) ū ū x 1 Re ū w x ū + w z + u 2 x + u w ( ) z µ ū x j ρ x j w + w z + u w ( x ) 1 µ w Re x j ρ x j = 1 ρ p x, (4) + w 2 z = 1 ρ p z. (5) 3 4 p / z f = 0.20 p / z 5 5 p / z p / z (5) 4 w 2 / x f = w 2 / z 6 w 2 / z w 2 / z p / z ( w 2 / z ) (f = 0.20) , 19) f (x, z, ϕ) = 1 N N 1 1 L n=0 y Ly 0 f(x, y, z, ϕ + 2πn)dy (6) f y f(x, y, z, t) = f (x, z, ϕ) + f (x, y, z, t) (7)

4 100 p Q = BAND 1 ( f = ) BAND 2 ( = ) BAND 1 f f = BAND 2 f = 1.0 BAND 1 BAND 2 f = 0.20 f = 0.20 BAND1 4.2 BAND1 T (= T u /) ū conv. T = T u = π ū conv. (8) ū conv. /u = 0.50 T = 6.3 f /u = 0.16 f /u = 0.20 f /u = 0.20 のターンオーバー,BAND1 となってい 4.3 BAND2 λ x / ū conv. /u f /u (9) λ x = ūconv. f. (9) = ū conv. /u = 0.50 f /u = λ x / = 0.50 (9) θ (= θ/) f θ (= f θ/u ) ū conv. f θ = f θ /ū conv. f θ = ) = θ/ = 0.02 f /u = 0.50, 1.0 f θ /u = 0.02, π 0.8π 0π 0.8π 1.6π 1.6π 7 p ( ) 8 f /u = 0.10 (BAND1) and f /u = 1.0 (BAND2) z y x z y x Q ( ) u/u ( ) f /u = 0.10 (BAND1) and f /u = 1.0 (BAND2) 4.4

5 101 乱 v rms 9 B AND1 B AND2 B AND1 v rms f /u = = BAND2 周波数帯 BAND1 BAND2 BAND1 BAND2 特に, f /u = 0.20 のターンオーバー BAND1 あり * peak value of v rms Uncontrolled = 1.0 = 0.50 = 0.20 = 0.10 = 0.05 = p / z w 2 / z 4. BAND1 ( (f = )) BAND2 (f = ) 5. BAND2 BAND1 6. BAND1 BAND2 特に 7. f = 0.20 のターンオーバー BAND1 9 (v rms) () 8. BAND1 f = 0.20 し, 剥離点近くの高さ方向の正の圧力勾配が 増加するので 最も p / z HPCI 4 1 ( : p p ) 1) M. Gad-el Hak and D. M. Busnell. Separation control: review. Journal of Fluids Engineering, 113(1):5, 1991.

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