1 1 75 1 4 81
1 3 4 5..5 6
3 1
4
5 1
6
7..5mm
8.1. C.1 ( ).5 ( ) ( ) 3. ( ).5. 1..5 1-131 TEACDR-F1 khz 648frame/sec
9 Hot Film Probe Anemometer Stabilizer Digital Recorder Video Compressor Camera Flow Meter
1 Hot Film Probe Acrylic Orifice x d z L Porous Media Air Copper Tube
11
1 3
13 1 x(t) t i = kdt( k = 1,,3,
14 x(t) Takens (t) x( ti ), x( ti + τ ),, x( ti + ( m 1)) m n +1 S Q 3
15 15 1 C( r) lim N N( N 1) N i, j 1 i j = θ ( r x x i j ) θ θ ( z) = 1( z ) C( r) ν r
16 4
17.mm.5mm Hz 1.5mm.mm (cc/min) (cc/min) (cc/min) (cc/min) 1 3 4 5 6 7 8 9 1 11 1 6 1 5 3 3 36 37 38 5 68 75 13 14 15 16 17 18 19 1 88 95 1 11 1 135 17 5 3 4 5 6 7 8 9 3 31 3 33 15 3 3 315 35 335 34 35 355 375 4 4 34 35 36 37 38 39 49 65 78 84 1 14 4.1
18 V (V) 1 No.1 6 Power (db) 1 V (V) V (V) V (V) V (V) V (V) 1.5 1 1 1.5 1 1 1.5 1 1 1.5 1 1 1.5 1 1 1.5 1 Time (sec) No.3 No.6 3 No.7 36 No.8 37 No.9 38 Power (db) Power (db) Power (db) Power (db) Power (db) 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 Frequency (Hz) 4.1.1.5
19 V (V) 3 1 No.1 5 Power (db) 1 V (V) V (V) V (V) V (V) V (V) 1.5 1 3 1 1.5 1 3 1 1.5 1 3 1 1.5 1 3 1 1.5 1 3 1 1.5 1 Time (sec) No.11 68 No.1 75 No.13 88 No.14 95 No.15 1 Power (db) Power (db) Power (db) Power (db) Power (db) 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 Frequency (Hz) 4.1.1.5
V (V) V (V) V (V) 4.5 1 4.5 1 4 No..5 1 Time (sec) No.16 11 No.17 1 Power (db) 1 1 4 6 8 1 Power (db) 1 4 6 8 1 Power (db) 1 4 6 8 Frequency (Hz) 4.1.1.5
1 V (V) V (V) V (V) V (V) V (V) V (V).5 1.5 1.5 1.5 1.5 1 Time (sec) No. 15 No.3 3 No.4 3 No.5 315.5 1 No.6 35 No.7 335 Power (db) Power (db) Power (db) Power (db) Power (db) Power (db) 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 Frequency (Hz) 4.1..
V (V) V (V) V (V) V (V) V (V) V (V).5 1 1/f.5 1.5 1.5 1.5 1.5 1 Time (sec) No.8 34 No.9 35 No.3 355 No.31 375 No.3 No.33 4 Power (db) Power (db) Power (db) Power (db) Power (db) Power (db) 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 f 1 4 6 8 Frequency (Hz) 4.1..
3 V (V) V (V) V (V) V (V) V (V) V (V) 4 1/f 4.5 1 4 4.5 1 4 1/f 4.5 1 4 1/f No.37 84 4.5 1 4 4.5 1 4 4.5 1 Time (sec) No.34 49 No.35 65 No.36 78 No.38 1 No.39 14 Power (db) Power (db) Power (db) Power (db) 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 1 4 6 8 1 Power (db) Power (db) 1 4 6 8 1 f L f L f L 1 4 6 8 Frequency (Hz) 4...
4 4.1.3.5mm
5 4.1.4.mm
6 4 8 4.1.4.mm
7 4. 5cc/min
1 8 V 1 V 6cc/min time(s) 1 1 5cc/min time(s) 1 1 V 1 3cc/min time(s) 1 1 V 1 38cc/min time(s) 1 4..1.5mm
9 1 V 1 68cc/min time(s) V1 1 V 7.5 88cc/min time(s) 7 6.5 1cc/min time(s) 4..1
3 V1 1 11cc/min time(s) V 135cc/min time(s) V 17cc/min time(s) 4..1
V 7.5 31 7 6.5 1cc/min time(s) V 9 8 7 3cc/min time(s) V 9 8 7 315cc/min time(s) 4..
3 V 9 8 7 V 1 35cc/min time(s) 9 8 7 5cc/min time(s) V 11 1 9 8 7 8cc/min time(s) 4.4.
33 3.5mm.mm
4.4.1.5mm 34
4.4.1.5 35
4.4.. 36
37 4.4.5mm.mm cc/min cc/min 6cc/min 1cc/min 5cc/min 3cc/min 38cc/min 68cc/min 75cc/min 1cc/min 11cc/min 5cc/min 1 1 3 3 6 5 1. 1.35 1.5 1. 1.6 1. 1.5 15cc/min 3cc/min 315c/min 35c/min 335cc/min 35cc/min 5cc/min 8cc/min 1 4 8 6 8 1.1 1..1. 1.7.8 4.4.3.mm 1cc/min 1cc/min
4.3.. cc/min 38
4.3.. 3cc/min 39
4.3..mm (31cc/min) 4
4.3.mm.mm (3cc/min) 41
4.3..mm 4cc/min 4
4.3.1.5mm (6cc/min) 43
4.3.1.5mm (5cc/min) 44
4.3.1.5mm (3cc/min) 45
4.3.1.5mm (38cc/min) 46
4.3.1.5mm (68cc/min) 47
4.3.1.5mm (75cc/min) 48
4.3.1.5mm (88cc/min) 49
4.3.1.5mm (1cc/min) 5
4.3.1.5mm (11cc/min) 51
4.3.1.5mm (135cc/min) 5
4.3.1.5mm (17cc/min) 53
54.mm 3 1 5 1 (cc/min) 4.4.3
55 spectrogram..5 9..5
4.5 spectrogram 56
4.5 spectrogram 57
4.5 spectrogram 58
4.5 spectrogram 59
6 5..5
61..5 4.11 4.1. (cc/min) 3 3 4 4 6 6 6 38 38 1 3 3 3 3 35 35 35~8 8 4.1. no.3 1/ 4 4.1. no.3 1/,1/4. 4.1.(b)4 3,5
6 8 4.1. no.6 1/8 8 1 4.1.(b) 8 4 4 6 1 1 5cc/min 4.1. no.36
63 spectrogram spectrogram Ravleiah-Benard Convection T T i 1/ 5.1.1 5.1.
64.. Ravleiah-Benard Convection. Ravleiah-Benard Convection Ravleiah-Benard Convection Power (db) 1 E 3cc/min 4 Power (db) 1 G 36cc/min 315 1 4 6 8 1 4 6 8 Power (db) 1 F 3cc/min Power (db) 1 H 5cc/min 33 1 4 6 8 1 4 6 8 ABCD Ravleiah-Benard EFGH spectrogram 4 8 A, B 4 C 8 D E,F spectrogram 3 6 6 8 1 Hz Hz
65 4.3 1 4 1.6. 6 8.8 1 1 4 1.6 6 1.7 8.1 8 8 5.1 5cc/min 4 5.1 3 1 5 1 (cc/min) 5.1
66.5. 4.1.1 5. (cc/min) A B C D E F 1 1~6 6 6 1 1 1~ 6 6 5 5 5 1 1 1 4.1.1.mm 1 1 1 A 4.8(a) f 3
67 1 68cc/min 4 5cc/min 68cc/min cc/min 1.mm
68.mm 1 4.3 1 cc/min 5cc/min cc/min
69.5mm.mm πdρ cosθ θ 5.3.5mm. cosθ.mm.mm.5mm.mm F F σ b = πd cosθ = ( ρ ρ ) gv ( t) i g B 1 5.3 F F σ σ = F b F b
7 6
71
7
73 1 Harry L.SWINNG, OBSERVATIONS OF ORDER AND CHAOS IN NONLINEAR SYSTEMS A. LIBCHABER, S. FAUVE and C. LAROCHE, TWO-PARAMETER STUDY OF THE ROUTES TO CHAOS 3 F.Takens, Dynamical System and turbulence, Lecture Note in Mathematics898,ed
74 4
75 1 75 1 4 81