TY - JOUR
T1 - A model for polymer melting during modulated-temperature differential scanning calorimetry
AU - Lacey, Andrew Alfred
AU - Nikolopoulos, C.
PY - 2001/10
Y1 - 2001/10
N2 - A model for the melting of polymers, assuming the polymer crystals take the form of lamellæ, or thin sheets, of material, is discussed. The model is derived on the assumption that the melting point of a lamella depends upon its thickness, that a lamella melts the instant this temperature is exceeded, and that lamellæ with higher melting points grow by accumulating surplus melt. The model is analysed for a temperature control that is the sum of a linear and a sinusoidal function of time, as in modulated-temperature differential scanning calorimetry, which is a new experimental technique for measuring thermal properties of materials. Some predictions regarding the output of such calorimetry for polymer melting are made.
AB - A model for the melting of polymers, assuming the polymer crystals take the form of lamellæ, or thin sheets, of material, is discussed. The model is derived on the assumption that the melting point of a lamella depends upon its thickness, that a lamella melts the instant this temperature is exceeded, and that lamellæ with higher melting points grow by accumulating surplus melt. The model is analysed for a temperature control that is the sum of a linear and a sinusoidal function of time, as in modulated-temperature differential scanning calorimetry, which is a new experimental technique for measuring thermal properties of materials. Some predictions regarding the output of such calorimetry for polymer melting are made.
KW - Differential scanning calorimetry
KW - MTDSC
KW - Polymer melting
UR - http://www.scopus.com/inward/record.url?scp=0035473481&partnerID=8YFLogxK
U2 - 10.1093/imamat/66.5.449
DO - 10.1093/imamat/66.5.449
M3 - Article
SN - 0272-4960
VL - 66
SP - 449
EP - 476
JO - IMA Journal of Applied Mathematics
JF - IMA Journal of Applied Mathematics
IS - 5
ER -