Link to Thermal Conductivity Plot
Link to Specific Heat Plot
Link to Linear Expansion Plot
Cryogenic technologies group
Material Properties: Polystyrene

 

Data Available:
 Thermal Conductivity

 

.

Thermal Conductivity
(density = 0.79 lb/ft3)

Thermal Conductivity
(density = 2.0 lb/ft3)

Thermal Conductivity
(density = 3.12 lb/ft3)

Thermal Conductivity
(density = 6.24 lb/ft3)
UNITS W/(m•K) W/(m•K) W/(m•K) W/(m•K)
a -1557.5 -1145.45 -1.5194 7.39582
b 3984.7 4086.02 -4.6449 -59.6737
c -3940.245 -6234.293 11.643 160.58
d 1649.668 5260.106 -15.969 -240.33
e 12.80097 -2649.914 12.722 218.817
f -294.2616 797.0372 -5.821 -124.155
g 119.5898 -132.5244 1.4174 42.9088
h -20.6301 9.3968 -0.14128 -8.26683
i 1.36067 0 0 0.68082
data range 90-300 33-300 7-300 4-300
equation range 90-300 25-300 4-300 4-300
curve fit % error relative to data 2 2 2 3
Curve fit equation of the form:
log10 x = a+b(log10T) + c(log10T 2 + d(log10T)3 + e(log10T)4 + f(log10T)5 + g(log10T)6 + h(log10T)7 + i(log10T)8
Solves as:
x = 10 a+b(log10T) + c(log10T)2 + d(log10T)3 + e(log10T)4 + f(log10T)5 + g(log10T)6 + h(log10T)7 + i(log10T)8
Where: Coefficients a - i are summarized in the appropriate table and T is the temperature in K (y-axis)

 

Specific Heat
(density = 6.24 lb/ft3)

Specific Heat
(density = 0.62 lb/ft3)

Specific Heat
(density = 3.75 lb/ft3
. units: J/(kg•K) units: J/(kg•K) units: J/(kg•K)
a -5911.474 -734.172 2139.33
b 14991.16 1163.613 -6518.015
c -15513.753 -135.157 9650.919
d 8232.5666 -878.514 -9229.889
e -2237.3586 791.787 6104.0571
f 225.423 -308.6236 -2739.14
g 20.33505 58.6764 784.878
h -4.6169 -4.4494 -128.40103
i 0 0 0
data range 100-300 100-300 100-300
equation range 90-300 90-300 80-300
curve fit % error relative to data 1 1.5 1
Curve fit equation of the form:
log10 x = a+b(log10T) + c(log10T) 2 + d(log10T)3 + e(log10T)4 + f(log10T)5 + g(log10T)6 + h(log10T)7 + i(log10T)8

Solves as:
x = 10 a+b(log10T) + c(log10T)2 + d(log10T)3 + e(log10T)4 + f(log10T)5 + g(log10T)6 + h(log10T)7 + i(log10T)8

Where: Coefficients a - i are summarized in the appropriate table and T is the temperature in K (y-axis)

 

Linear expansion 1
(density = 3.21 lb/ft3)

 

Linear expansion 2
(density = 3.21 lb/ft3)

Linear expansion 1
(density = 6.38 lb/ft3)

Linear expansion 2 (density = 6.38 lb/ft3)

.
 units:
[(L-L293)/L293] x 105 unitless, eg. m/m

units:
[(L-L293)/L293] x 105 unitless, eg. m/m

units:
[(L-L293)/L293] x 105 unitless, eg. m/m

units:
[(L-L293)/L293] x 105 unitless, eg. m/m

a
 -1.6948E3 -2.1168E3 -1.7494E3 -1.9374E3
b
 -9.6845E-1 1.0963E1 2.0607E0 3.6139E0
c
 7.8268E-2 -3.5335E-2 -4.7467E-2 3.5974E-2
d
 -2.4831E-4 1.3552E-4 1.2156E-3 -1.5164E-4
e
 0 -1.9890E-7 -5.4405E-6 2.1764E-7
Tlow (K)
 6.4 NA NA NA
f
 -1697.9 NA NA NA
data range (K)
 4-300 4-300 4-300 4-300
equation range (K)
 4-105 105-278 4-102 102-286
curve fit % error relative to data
 1 1 1 2
equation of the form:
x = a + bT + cT2 + dT3 + eT4
  >T > Tlow
x = f
  
T < Tlow
solves as expected: Where: Coefficients a-e are summarized in the appropriate table and T is the temperature in K (y-axis), and x is property to solve for.