Abstract The invention is a method for determining the thermal conductivity of an unknown material using a differential scanning calorimeter. Experiments conducted in a non-adiabatic environment govern the mathematics of the present method. Multiple samples of the unknown material are formed with different lengths and identical cross-sectional areas. Samples of a reference material, having a known thermal conductivity and a density approaching that of the unknown sample, are formed with the same lengths and cross-sectional area as the unknown samples. Each sample is subjected to the same heat rise in a differential scanning calorimeter to determine values of Q heat flow at selected incremental temperatures. A heat equation for the reference sample and the unknown sample is formed and solved for each like length and temperature value of a reference and sample material to determine the thermal conductivity of the unknown sample.
A method for determining the thermal conductivity K of a material of unknown thermal conductivity utilizing a differential scanning calorimeter comprising the steps of: (a) forming cylindrical samples of equal diameters and of different lengths L of reference materials having known thermal conductivity K values; (b) forming cylindrical samples having lengths L and diameters corresponding to the samples of step (a) of a material of unknown thermal conductivity K; (c) subjecting each sample to the following steps in a differential scanning calorimeter:
Claim 2
Independent Claim
82 words
A method for determining the thermal conductivity K of a material of unknown thermal conductivity utilizing a differential scanning calorimeter comprising the steps of: (a) forming cylindrical samples of equal diameters and of different lengths L of reference materials having known thermal conductivity K values; (b) forming cylindrical samples having lengths L and diameters corresponding to the samples of step (a) of a material of unknown thermal conductivity K; (c) subjecting each sample to the following steps in a differential scanning calorimeter:
Claim 3
Dependent Claim
216 words
Equilibrate each sample and said scanning calorimeter at 30.00° C. 2. Initialize the temperature of said scanning calorimeter to 30.00° C. 3. Hold the sample isothermally for 5 min. 4. Ramp the temperature of said scanning calorimeter at 2.00° C./min to 60.00° C. 5. Measure the temperature of each sample, at the end contacting said scanning calorimeter, at each 5° C. rise in said scanning calorimeter between 30.00° C. and 60.00° C.; 6. Hold the sample isothermally for 5 min; (d) forming a Q divided by L value for each sample at each 5° C. interval between 30° C. and 60° C. wherein Q is the value of heat flow through a sample; (e) forming a Q divided by L library of values for each reference sample and for each sample of unknown material of different length L at the same temperatures; (f) forming a thermal conductivity versus Q divided by L computation for each reference sample and for each sample of unknown material of different length at the same temperature utilizing the library of values of step (e); and (g) comparing the computations of step (f) associated with a sample of unknown material against the computations of a reference sample of known K to determine the thermal conductivity K of the sample of unknown material.
Claim 4
Dependent Claim
216 words
Equilibrate each sample and said scanning calorimeter at 30.00° C. 2. Initialize the temperature of said scanning calorimeter to 30.00° C. 3. Hold the sample isothermally for 5 min. 4. Ramp the temperature of said scanning calorimeter at 2.00° C./min to 60.00° C. 5. Measure the temperature of each sample, at the end contacting said scanning calorimeter, at each 5° C. rise in said scanning calorimeter between 30.00° C. and 60.00° C.; 6. Hold the sample isothermally for 5 min; (d) forming a Q divided by L value for each sample at each 5° C. interval between 30° C. and 60° C. wherein Q is the value of heat flow through a sample; (e) forming a Q divided by L library of values for each reference sample and for each sample of unknown material of different length L at the same temperatures; (f) forming a thermal conductivity versus Q divided by L computation for each reference sample and for each sample of unknown material of different length at the same temperature utilizing the library of values of step (e); and (g) comparing the computations of step (f) associated with a sample of unknown material against the computations of a reference sample of known K to determine the thermal conductivity K of the sample of unknown material.