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Transcription:

1P 94P 11 2 5 70196

Ra : : g : C : : Pr : : Nu : : h : B :

( )

DC (Bau [1])

: u = u(t) (1) 1 : u& = Raρ T cos( θ) dθ Pu (2) π 2 T T : T & = u + β + [ T (, t) T ] 2 W θ θ θ (3) -

T W 0 ( t) + Wn ( t)sin( nθ) n= 1 ( θ, t) = W (4) T ( θ, t) = n= 1 S n ( t)sin( nθ) + Cn ( t) + C ( t) cos( nθ) n (5) (4),(5) (1),(3) u& = c u p (6) c& = us c (7) s& uc s Ra[ 1+ εf ( t)] (8) =0 (6) (8) (Lorenz [3]) (Lorenz [3])

(Lorenz [3]) ( ) Lorenz equations : x& =σ( y x) (9) y& = rx y xz (10) z & = bz + xy (11)

780mm

3 l/min 15 l/min

TakadaRiken TR DIGITAL MULUTIMETER ADVANTEST R6511 DIGITAL MULTIMETER TakadaRiken TR UNIVERSAL SCANNER

YEW TYPE3056 PEN RECORDER

RIKO SLIDE TRANS TYPE RSD-10A CAP 1KVA INPUT 100V

1. 2. 3. 4. 5. 6. 7. 8. 9. 1. 2. 3. 1. 2. 3. 4. 5. 6. 7.

1. 25mm 20mm 4 2. 3. 4. 5. 6. 7. 8. 1. 2. 1. 2. 3. 4. 1. 2.

1. 2. 3. 4.

760m 10mm 10mm 3 2 1 left bottom right

5W 20 temperature( ) 19.5 19 18.5 right bottom left 18 0 2000 time(sec) 4000 Fig4.2

20W 22 temperature( ) 20 left bottom right 18 0 10000 time(sec) 20000 Fig4.3

21 30W bottom temperature( ) 20 19 left right 18 0 5000 time(sec) 10000 Fig4.4

30W 2 22 right temperature( ) 21 20 19 bottom left 0 500 1000 1500 time(sec) 2000 2500 Fig4.5

40W 22 left temperature( ) 21 20 bottom 19 right 0 2000 time(sec) 4000 Fig4.6

23 40W 22 left temperature( ) 21 20 bottom 19 right 2800 2850 2900 time(sec) 2950 3000 Fig4.7

50W 22 right temperature( ) 20 bottom left 18 0 1000 2000 time(sec) 3000 Fig4.8

55W left 22 temperature( ) 20 bottom 18 right 6000 8000 10000 time(sec) 12000 Fig4.9

60W left 22 temperature( ) 20 bottom 18 right 16500 17000 time(sec) 17500 Fig4.10

65W 24 right temperature( ) 22 20 bottom left 0 1000 time(sec) 2000 Fig4.11

65W 24 right temperature( ) 22 20 bottom left 0 1000 time(sec) 2000 Fig4.11

75W 24 temperature( ) 22 20 right bottom left 18 0 1000 2000 time(sec) 3000 Fig4.12

75W 24 temperature( ) 22 20 right bottom left 2500 2600 2700 2800 time(sec) 2900 3000 Fig4.13

100W 26 right temperature( ) 24 22 20 bottom left 18 0 5000 time(sec) 10000 Fig4.14

100W 26 right temperature( ) 24 22 20 bottom left 18 5000 5020 5040 5060 time(sec) 5080 5100 Fig4.16

200W 30 right temperature( ) 25 20 left bottom 15 0 5000 time(sec) 10000 Fig4.17

30 200W right temperature( ) 25 bottom left 20 5000 5050 5100 time(sec) 5150 5200 Fig4.18

300W 35 right temperature( ) 30 25 left bottom 20 0 5000 time(sec) 10000 Fig4.19

34 33 32 300W right temperature( ) 31 30 29 28 27 26 bottom 25 24 left 5000 5050 5100 time(sec) 5150 5200 Fig4.20

40 500W right temperature( ) 30 bottom left 20 0 500 1000 1500 time(sec) Fig4.21

500W temperature( ) 36 34 32 30 28 right bottom 26 left 1500 1520 1540 1560 time(sec) 1580 1600 Fig4.22

45 800W right 40 temperature( ) 35 bottom 30 left 25 4500 5000 5500 time(sec) Fig4.23

45 800W right 40 temperature( ) 35 bottom 30 left 25 5000 5020 5040 5060 time(sec) 5080 5100 Fig4.24

50 right 1000W 45 temperature( ) 40 35 bottom 30 left 7500 8000 8500 time(sec) 9000 9500 Fig4.25

50 1000W 45 right temperature( ) 40 35 bottom left 30 8200 8220 8240 8260 time(sec) 8280 8300 Fig4.26

23 40W temperature( ) 22.5 1 2 3 22 5000 5200 5400 5600 time(sec) 5800 6000 Fig4.27

23.5 50W temperature( ) 23 22.5 1 2 3 22 7200 7300 7400 7500 7600 time(sec) 7700 7800 Fig4.28

24 60W 1 temperature( ) 23.5 2 3 23 8200 8300 8400 time(sec) 8500 8600 Fig4.29

24 60W 1 temperature( ) 23.5 2 3 23 8600 8605 8610 8615 8620 time(sec) 8625 8630 Fig4.30

70W 24.5 1 temperature( ) 24 2 3 23.5 9350 9360 9370 9380 time(sec) 9390 9400 Fig4.31

100W 3 23 2 temperature( ) 22.5 1 22 650 660 670 time(sec) 680 Fig4.32

25 200W 3 temperature( ) 24 23 2 1 22 4780 4790 4800 time(sec) Fig4.33

400W 2 1 29 3 temperature( ) 28 27 8000 8005 8010 time(sec) 8015 8020 Fig4.34

50W 80 60 40 20 0 0 0.01 0.02 0.03 frequency(hz) 0.04 0.05 Fig4.35

50W 80 l 60 b 40 20 r 0 0 0.002 0.004 0.006 frequency(hz) 0.008 0.01 Fig4.36

200 60W 100 0 0 0.01 0.02 0.03 frequency(hz) 0.04 0.05 Fig4.37

200 60W 100 0 0 0.002 0.004 0.006 frequency(hz) 0.008 0.01 Fig4.38

200 60W b 100 r l 0 0.004 0.0045 0.005 0.0055 frequency(hz) 0.006 Fig4.39

75W 60 r 40 b 20 l 0 0 0.002 0.004 0.006 frequency(hz) 0.008 0.01 Fig4.40

[1]Haim H.Bau and YuZou Wang, Chaos: A Heat Transfer Perspective, Annual Review of Heat Transfer [2]P.Wealander, On the Oscillatory Instability of Differentially Heated Fluid loops, J.Fluid Mech.,vol29,pp.17-30,1967. [3]Edward N Lorenz, Deterministic Nonperiodic Flow, J Atmospheric Sci.,vol.20,pp.130-141,1963. [4],,

Eq: %0i*X^i (i=0-9) %00 = -1.8479980e+00 %01 = 3.9930149e+01 %02 = -4.1328144e+01 %03 = 5.9340251e+01 %04 = -4.9024381e+01 %05 = 2.4452760e+01 %06 = -7.5116225e+00 %07 = 1.3909358e+00 %08 = -1.4243317e-01 %09 = 6.1961649e-03 points = 16 <DY^2> = 3.5318749e-01 r or R = 9.9993970e-01

Eq: %0i*X^i (i=0-9) %00 = -1.9461155e+00 %01 = 4.1550069e+01 %02 = -4.6750051e+01 %03 = 6.8008546e+01 %04 = -5.6966094e+01 %05 = 2.8881059e+01 %06 = -9.0324736e+00 %07 = 1.7042503e+00 %08 = -1.7787750e-01 %09 = 7.8865420e-03 points = 16 <DY^2> = 6.9269637e-01 r or R = 9.9976801e-01

Eq: %0i*X^i (i=0-9) %00 = -1.5690623e+00 %01 = 3.8211825e+01 %02 = -3.4824079e+01 %03 = 4.7996205e+01 %04 = -3.8715110e+01 %05 = 1.9086157e+01 %06 = -5.8486854e+00 %07 = 1.0876685e+00 %08 = -1.1239379e-01 %09 = 4.9500870e-03 points = 16 <DY^2> = 4.6321706e-01 r or R = 9.9989627e-01

Eq: %0i*X^i (i=0-9) %00 = -1.3074252e+00 %01 = 3.8909362e+01 %02 = -3.8266923e+01 %03 = 5.2785700e+01 %04 = -4.2260029e+01 %05 = 2.0595215e+01 %06 = -6.2184488e+00 %07 = 1.1362574e+00 %08 = -1.1510423e-01 %09 = 4.9611412e-03 points = 16 <DY^2> = 6.0175514e-01 r or R = 9.9982493e-01

Eq: %0i*X^i (i=0-9) %00 = -1.2264890e+00 %01 = 3.8869520e+01 %02 = -4.0422917e+01 %03 = 5.8511970e+01 %04 = -4.8850561e+01 %05 = 2.4757864e+01 %06 = -7.7569956e+00 %07 = 1.4673941e+00 %08 = -1.5350239e-01 %09 = 6.8139247e-03 points = 16 <DY^2> = 7.3516569e-01 r or R = 9.9973869e-01

Eq: %0i*X^i (i=0-9) %00 = -1.6018137e+00 %01 = 4.2732137e+01 %02 = -5.3046039e+01 %03 = 7.7410200e+01 %04 = -6.4293043e+01 %05 = 3.2258913e+01 %06 = -9.9905537e+00 %07 = 1.8686273e+00 %08 = -1.9351417e-01 %09 = 8.5181228e-03 points = 16 <DY^2> = 1.4158795e-01 r or R = 9.9999031e-01

1 100 ( ) 50 0 0 1 2 3 4 (mv)

2 100 ( ) 50 0 0 1 2 3 4 (mv)

4 100 ( ) 50 0 0 1 2 3 4 (mv)

4 100 ( ) 50 0 0 1 2 3 4 (mv)

5 100 ( ) 50 0 0 1 2 3 4 (mv)

6 100 ( ) 50 0 0 1 2 3 4 (mv)

1P 94P 11 2 5 70196

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