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我想重现下面显示的两个图,它们是作为时间函数的温度和浓度分布图。我检查了我的方法和代码一百万次,但似乎无法找到它的错误,但我无法再现这些图。除了CA和T之外,所有的值都是常量。它可能是来自scipy的odeint的准确性问题吗?任何帮助将非常感激!用于ODE系统的scipy odeint的错误
这两个方程如下:
DCA/DT = Q *(CAI - CA)/ V - K * CA
的dT/dt的= W *(钛 - T)/(V p)+ d_HRķCA /(p C)+ UA *(TC - T)/(V p C)
的代码:
import numpy as np
from scipy.integrate import odeint
import matplotlib.pyplot as plt
def ODESolve(y, t, q, CAi, V, k0, w, Ti, p, dH_R, C, UA, Tc):
CA, T = y
k = k0*np.exp(8750*1/T)
dydt = [q*(CAi - CA)/V - k*CA, w*(Ti - T)/(V*p) + \
dH_R*k*CA/(p*C) + UA*(Tc - T)/(V*p*C)]
return dydt
q = 100
CAi = 1.0
V = 100
p = 1000
C = .239
dH_R = 5*(10**4)
k0 = 7.2*(10**10)
UA = 5*10**4
CA0 = .5
T0 = 350
Ti = T0
w = p*q
y0 = [CA0, T0]
t = np.linspace(0, 20, 100)
Tc = 305
sol1 = odeint(ODESolve, y0, t, args = (q, CAi, V, k0, w, Ti, p, dH_R, C, UA, Tc))
Tc = 300
sol2 = odeint(ODESolve, y0, t, args = (q, CAi, V, k0, w, Ti, p, dH_R, C, UA, Tc))
Tc = 290
sol3 = odeint(ODESolve, y0, t, args = (q, CAi, V, k0, w, Ti, p, dH_R, C, UA, Tc))
plt.figure(1)
plt.plot(t, sol1[:,0], label = 'Tc = 305')
plt.plot(t, sol2[:,0], label = 'Tc = 300')
plt.plot(t, sol3[:,0], label = 'Tc = 290')
plt.ylim(ymax = 1, ymin = 0)
plt.title ('CA(t)')
plt.legend(loc = 'best')
plt.figure(2)
plt.plot(t, sol1[:,1], label = 'Tc = 305')
plt.plot(t, sol2[:,1], label = 'Tc = 300')
plt.plot(t, sol3[:,1], label = 'Tc = 290')
plt.ylim(ymax = 450, ymin = 300)
plt.legend(loc = 'best')
plt.title ('T(t)')
plt.show()
这里是图应该生产什么:
这里是我的代码的输出上面:
仔细检查此公式:'k = k0 * np.exp(8750 * 1/T)'。在一个完整的黑暗中,我改变了指数内的符号,所以'k = k0 * np.exp(-8750 * 1/T)',得到的结果看起来类似于你预期的情节显示。 –
你是上帝......这是完全正确的!哇,真是一种解脱。如果您将此作为答案提交,我很乐意提交您的答案作为答案。谢谢! –
好的,提交答案。 –