Icon that, when clicked, will open a new window showing a Thermal Conductivity Plot or possibly a window showing that a representative plot has not yet been completed but will be coming soon
 
Icon that, when clicked, will open a new window showing a Specific Heat Plot or possibly a window showing that a representative plot has not yet been completed but will be coming soon
 
Icon that, when clicked, will open a new window showing a Linear Expansion Plot or possibly a window showing that a representative plot has not yet been completed but will be coming soon
 
Cryogenic technologies group
Material Properties: Polyurethane
 Data Available:
 Thermal Conductivity
 Specific Heat
 Linear Expansion

 

 
Thermal Conductivity density: 31.88 kg/m3 (=1.99 lb/ft3
Freon filled )
Thermal Conductivity
density: 32.04 kg/m3 (=2.0 lb/ft3
CO2 Filled)
Thermal Conductivity
density: 49.02 kg/m3 (=3.06 lb/ft3
He Filled )
Thermal Conductivity
density: 64.08 kg/m3 (=4.00 lb/ft3
Freon filled)
UNITS W/(m-K) W/(m-K) W/(m-K) W/(m-K))
a -3218.679 3788.43 -33.898 789.79
b 9201.61 -7642.66 117.81 -2347.94
c -10956.66 4592.448 -178.376 3024.61
d 6950.102 778.8423 142.038 -2206.76
e -2476.94 -2214.434 -63.034 989.238
f 470.284 1090.293 14.958 -273.18
g -37.1669 -235.6349 -1.5468 43.065
h 0 19.66088 0.020625 -2.9863
i 0 0 0 0
data range
76-300 100-300 30-300 88-300
equation range
60-300 85-300 20-300 55-300
curve fit % error relative to data 2 1 1 2
Curve fit equation of the form:
log10 y = 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:
y = 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 (x-axis), and y is the property to solve for.

 

 
Specific Heat
density: 49.02 kg/m3
(=3.06 lb/ft3
He filled)
Specific Heat
density: 389.25 kg/m3
(=24.3 lb/ft3
air filled )
UNITS J/(kg-K) J/(kg-K)
a 89.69 4894.36
b -269.32 -11608.63
c 333.276 10463.31
d -214.635 -3895.8
e 76.2052 -40.0053
f -14.1137 497.4517
g 1.061 -147.7555
h 0 14.19365
i 0 0
data range
23-300 100-300
equation range
16-300 80-300
curve fit % error relative to data 1 2
Curve fit equation of the form:
log10 y = 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:
y = 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 (x-axis), and y is the property to solve for.

 

  Linear expansion
density: 32.04 kg/m3
(=2.0 lb/ft3, Freon blown, parallel to foam rise)
Linear expansion
density: 64.07 kg/m3
(=4.0 lb/ft3, CO2 blown, parallel to foam rise)
.Units
[(L-L293)/L293] x 10 -5 unitless, eg. m/m [(L-L293)/L293] x 10 -5 unitless, eg. m/m
a
-8.064E2 -1.0647E3
b
-5.049E-1 3.1238E-1
c
2.140E-2 2.2854E-2
d
-5.036E-5 -5.9123E-5
e
5.192E-8 6.7482E-8
Tlow (K)
NA NA
f>
NA NA
data range (K)
20-300 20-300
equation range (K)
20-275 20-293
curve fit % error relative to data
1.5 1
equation of the form:
y = a + bT + cT 2 + dT 3 + eT 4
   >T > Tlow
y = f 
   T < Tlow
solves as expected: Where: Coefficients a-e are summarized in the appropriate table and T is the temperature in K (x-axis), and y is the property to solve for.

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