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getPhysicalParameters.py
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# -*- coding: cp936 -*-
#getPhysicalParameters.py
'''
function get the Thermal Conductivity and Thermal Capacity
of Cu \ Nb3Sn \ LN316 of Line \ Shell
'''
from numpy import *
import math
import calcHeat
import calcInnerHeat
def formula(a,b,c,d,e,f,g,h,i,T):
num1=math.log10(T)
num2=a+b*num1+c*(num1**2)+d*(num1**3)
num3=e*(num1**4)+f*(num1**5)
num4=g*(num1**6)+h*(num1**7)+i*(num1**8)
num5=num2+num3+num4
return 10**num5
# calculaition of thermal capacity
def get_cCu(T):
num1=math.log10(T)
num2=(-1.91844)+(-0.15973)*num1+8.61013*(num1**2)+(-18.996)*(num1**3)
num3=(21.9661)*(num1**4)+(-12.7328)*(num1**5)
num4=(3.54322)*(num1**6)+(-0.3797)*(num1**7)
num5=num2+num3+num4
return 10**num5
'''
for i in range(20):
print "T=",10+10*i," ",get_cCu(10+10*i)
'''
def get_cShell(T): #shell material： 316LN 不对 需要按照 gandolf修改
if(T>4 and T<50):
num1=math.log10(T)
num2=(12.2486)+(-80.6422)*num1+218.743*(num1**2)+(-308.854)*(num1**3)
num3=(239.5296)*(num1**4)+(-89.9982)*(num1**5)
num4=(3.15315)*(num1**6)+(8.44996)*(num1**7)+(-1.91368)*(num1**8)
num5=num2+num3+num4
return 10**num5
else:
a=-1879.46
b=3643.19
c=76.7012
d=-6176.02
e=7437.624
f=-4305.721
g=1382.462
h=-237.227
i=17.052
return formula(a,b,c,d,e,f,g,h,i,T)
'''
for i in range(20):
print "T=",100+10*i," ",get_cShell(10+10*i)
'''
def get_cNb3Sn(T): #没有写完整？？？？？？？？？？？？？？？？？？
AA = 38.2226877
BB=848.364226
CC =1415.13808
DD =-346.837966
a =6.80458608
b =59.9209182
c= 25.8286334
d = 8.77918335
na = 1
nb =2
nc= 3
nd =4
TMIN =20.0
TMAX = 1000.0
#B = calcHeat.Bvalue(time)
#JC,TC=calcInnerHeat.calcJcTc(T,B)
TC = 17
TCS=7.8
TC0=TC
if(T<10):
CPN = (7.5475E-3)*T**2
elif (T>=10 and T<=20):
CPN=(-0.3 + 0.00375*T**2)/(0.09937)
else:
TT=T
TT=min(TT,TMAX)
CPN = AA*TT /(a+TT)**na + BB*TT**2/(b+TT)**nb + CC*TT**3/(c+TT)**nc + DD*TT**4/(d+TT)**nd
if (T<TC):
TT=TC/TC0
DBC2DT=(-0.46306) - (0.067830)*TC
DELCP=1500.0*(DBC2DT**2)/(2.0*(27.2/(1.0+(0.34*TT)))**2-1.0)
if(TC<10):
CPNTC=(7.5475E-3)*TC**2
elif(TC>=10 and TC<20):
CPNTC=(-0.3+0.00375*TC**2)/(0.09937)
CPS=(CPNTC+DELCP)*(T/TC)**3
else:
CPS=0
if(T<TCS):
CP=CPS
elif(T>=TCS and T<=TC):
if(TCS<TC):
F= (T-TCS)/(TC-TCS)
else:
F=1.0
CP=F*CPN + (1.0-F)*CPS
elif(T>TC):
CP= CPN
CPNBSN = CP
return CPNBSN
#calculation of thermal conductivity
def get_conShell(T): #316LN
a=-1.4087
b=1.3982
c=0.2543
d=-0.6260
e=0.2334
f=0.4256
g=-0.4658
h=0.1650
i=-0.0199
return formula(a,b,c,d,e,f,g,h,i,T)
def get_conCu(T): #from gandalf/solids.f Cu
RRR=1000 #?????????????????????????????????????????????????????
TCU =40.0
RC0=15.53/(RRR-1.0)
COND=1.0/(RC0/24.45/T + (33.5E-08)*T*T )
if(T>TCU):
COND = COND + 400.*(1.-exp(-(T-TCU)/TCU))
else:
COND = 0
return COND
def get_conNb3Sn(T): #from gandalf/solids.f 4K---750K Nb3Sn
if(T>750):
T=750
T0=21.9620369
A=1.3905E+14
B=76.6127237
n=3.66343961
m=9.3220843
C=-0.71614565
D=5.40229689
if(T<=T0):
CONBSN = A*T**n/(B+T)**m
else:
CONBSN = C*math.log10(T)+D
return CONBSN
# calc the Electrical resistivity of Copper in Ohm m
def get_rCu(T,B): # temperature and magnetic field from gandalf
RRR=1000 #?????????????????????????????????????????????????????????????????
C=[[0.0000 , 0.0082 , 0.2213 ],
[ 0.9820 , 2.1741 , 3.5551 ],
[ 4.9915 , 6.4292 , 7.8496 ],
[ 9.2483 , 10.6260 , 11.9850 ],
[ 13.3279 , 14.6571 , 15.9747 ],
[ 17.2826 , 18.5821 , 19.8745 ],
[ 21.1608 , 22.4419 ,23.7183],
[ 24.9908 , 26.2599 , 27.5259 ],
[ 0.0000 , 0.0100 , 0.4782 ],
[ 1.0459 ,1.3303 , 1.4273 ],
[ 1.4438 , 1.4308 , 1.4096],
[ 1.3874 , 1.3678 , 1.3503 ],
[ 1.3356 , 1.3228 , 1.3124 ],
[ 1.3032 , 1.2959 , 1.2892 ],
[ 1.2832 , 1.2785 , 1.2746 ],
[ 1.2709 , 1.2676 , 1.2643 ],
[ 0.0082 , 0.2031 , 0.2825 ],
[ 0.1462 , 0.0507 , 0.0091],
[ -0.0061 , -0.0104 , -0.0109],
[ -0.0097 , -0.0088 , -0.0074 ],
[ -0.0064 , -0.0052 , -0.0045 ],
[ -0.0037 ,-0.0035 , -0.0029 ],
[ -0.0021 , -0.0021 , -0.0021],
[-0.0018 , -0.0016 , -0.0011]]
TT= 0.05*T
IT= int(TT)
IT= min(IT,23)
DT= TT-IT
IT= IT+1
RC0= 15.53 / (RRR-1.0)
RHO= (1.0E-9) * (RC0+C[IT-1][0] + DT * (C[IT-1][1] + DT * C[IT-1][2]))
X=(1.55E-7)*B/RHO
RHO=RHO*(1.0+(3.046E-4)*X-(6.13E-10)*X*X)
return RHO
def RofCu(temp): #from paper
RRR = 100
P1 = 1.171*10**(-17)
P2 = 4.49
P3 = 3.841*10**10
P4 = -1.14
P5 = 50
P6 = 6.428
P7 = 0.4531
roo = 1.553*10**(-8)/RRR
roi1 = P1*temp**P2
roi2 = P1*P3*temp**(P2+P4)
roi3 = roi2 #*exp((P5/temp)**6)
roi = (roi1)/(1+roi3)
roio = P7*roi*roo/(roi + roo)
r = roo + roi + roio
return r
num1=1-900*(0.0025**1.7)
num2 = 18*num1**0.33333
#print "TC0 = ",num2