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I 0=δI 0 – |
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/ 2; δ – |
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(T0)^4 |
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5.67 10−8 , |
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M=−LN( I0/S0 ) ,
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1366 / 2 . |
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A= A NA Δz |
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Э A=2 π
RA^2
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= M + A
I=S0 exp(− )
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T=
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ΔT=T−T0
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Python, |
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#!/*sr/bin/env python
# coding: utf8
#from __future__ import unicode_literals *
from numpy import *
from math import *
from scipy import *
from matplotlib.pyplot import *
ra = 1E-7
T0 = 300.0
Na = 10**8
sigma = 5.67E-8
S0 = 1366.0
b = 0.95
z = 2000
Namin = 1E+8
Namax = 1E+9
dNa = 1E+8
m = int((Namax-Namin)/dNa+1)
Na = zeros(m)
ta = zeros((len(Na)), dtype=float)
t = zeros((len(Na)), dtype=float)
I = zeros((len(Na)), dtype=float)
T = zeros((len(Na)), dtype=float)
dT =zeros((len(Na)), dtype=float)
for j in range(m):
Na[j] = Namax - j*dNa
I0 = b*sigma*(T0**4)
tm = -log(I0 / S0)
qa = 2*pi*(ra**2)
ta[j] = qa*Na[j]*z
t[j] = ta[j]+tm
I[j] = S0*exp(-t[j])
T[j] = (I[j]/(b*sigma))**(1.0/4.0)
dT[j] = T[j]-T0
print I0, tm, t, Na
semilogx(Na, t, color="blue", lw=1)
xlabel("Na,m", fontsize=12)
ylabel("t", fontsize=12)
grid(True)
show()
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>>>
436.3065 1.14129706211 [ 1.26696077 1.2543944 1.24182803 1.22926166 1.21669529 1.20412892
1.19156254 1.17899617 1.1664298 1.15386343] [ 1.00000000e+09 9.00000000e+08 8.00000000e+08 7.00000000e+08
6.00000000e+08 5.00000000e+08 4.00000000e+08 3.00000000e+08
2.00000000e+08 1.00000000e+08] 6.28318530718e-14 [ 0.12566371 0.11309734 0.10053096 0.08796459 0.07539822 0.06283185
0.05026548 0.03769911 0.02513274 0.01256637] [ 290.72172789 291.63649329 292.55413704 293.47466817 294.39809579
295.32442901 296.25367696 297.18584882 298.12095379 299.0590011 ] [-9.27827211 -8.36350671 -7.44586296 -6.52533183 -5.60190421 -4.67557099
-3.74632304 -2.81415118 -1.87904621 -0.9409989 ]
>>>
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>>>
436.3065 1.14129706211 [ 1.26696077 1.2543944 1.24182803 1.22926166 1.21669529 1.20412892
1.19156254 1.17899617 1.1664298 1.15386343] [ 1.00000000e+09 9.00000000e+08 8.00000000e+08 7.00000000e+08
6.00000000e+08 5.00000000e+08 4.00000000e+08 3.00000000e+08
2.00000000e+08 1.00000000e+08] 6.28318530718e-14 [ 0.12566371 0.11309734 0.10053096 0.08796459 0.07539822 0.06283185
0.05026548 0.03769911 0.02513274 0.01256637] [ 290.72172789 291.63649329 292.55413704 293.47466817 294.39809579
295.32442901 296.25367696 297.18584882 298.12095379 299.0590011 ] [-9.27827211 - 8.36350671 -7.44586296 -6.52533183 -5.60190421 -4.67557099
-3.74632304 -2.81415118 -1.87904621 -0.9409989 ]
>>>
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