Ch. Wu et al., POLYMER CRYSTALLIZATION DYNAMICS, AS REFLECTED BY DIFFERENTIAL SCANNING CALORIMETRY .2. NUMERICAL SIMULATIONS, Colloid and polymer science, 271(12), 1993, pp. 1116-1128
With the aid of a model for the kinetics of polymer crystallization, a
s put forward in previous publications, the shape of DSC-curves and th
eir position on the temperature scale were simulated for various condi
tions of heat transfer in the apparatus. It turns out that the outcome
is very dependent on the assumptions made with respect to these heat
transfer conditions. For the ideal condition - no temperature differen
ces between sample, pan and furnace - an invariable shape is predicted
for the DSC-curves. They only shift to lower temperatures with increa
sing cooling rates. For more realistic conditions, the curves not only
shift but become broader and their maxima decrease. They show a more
familiar appearance. These calculations are very involved, however, A
simple balance equation is shown to yield equivalent results, if a dim
ensionless characteristic number like the Nusselt number remains consi
derably smaller than one. This number contains an effective heat trans
fer coefficient between sample and furnace which, surprisingly, should
not be too high, Apparently, the heat capacity of the pan does not pl
ay an important role under these conditions. This is investigated in A
ppendix II, Appendix I describes the procedure of the numerical simula
tions.