A mathematical model for modulated differential scanning calorimetry

被引:47
作者
Lacey, AA [1 ]
Nikolopoulos, C [1 ]
Reading, M [1 ]
机构
[1] ICI PAINTS,SLOUGH SL2 5DS,BERKS,ENGLAND
来源
JOURNAL OF THERMAL ANALYSIS | 1997年 / 50卷 / 1-2期
关键词
mathematical model; MDSC;
D O I
10.1007/BF01979568
中图分类号
O414.1 [热力学];
学科分类号
摘要
Reading and co-workers introduced a new technique a few years ago called Modulated Differential Scanning Calorimetry or MDSC. Here the first part of a theoretical analysis for this technique is given. A simple mathematical model for modulated differential scanning calorimetry in the form of an ordinary differential equation is derived. The model is analysed to find the effect of a kinetic event in the form of a chemical reaction. Some possible sources of error are discussed. A more sophisticated version of the model allowing for spatial variation in a calorimeter is developed and it is seen how it can be reduced to the earlier model. Some preliminary work on a phase change is also presented.
引用
收藏
页码:279 / 333
页数:55
相关论文
共 19 条
[1]  
Crank J., 1984, Free and Moving Boundary Problems
[2]  
HATTA J, 1994, JPN J APPL PHYS, V33, P686
[3]  
Hinch J., 1991, CAMBRIDGE TEXTS APPL, V6
[4]  
JONES KJ, ORIGIN INTERPRETATIO
[5]  
MARCUS S, COMMUNICATION
[6]  
Marcus S. M., 1994, U.S. Patent, Patent No. [5,335,993, 5335993]
[7]  
Murray J. D., 1973, ASYMPTOTIC ANAL
[8]   SOME ASPECTS OF NONISOTHERMAL CRYSTALLIZATION OF POLYMERS .2. CONSIDERATION OF ISOKINETIC CONDITION [J].
NAKAMURA, K ;
KATAYAMA, K ;
AMANO, T .
JOURNAL OF APPLIED POLYMER SCIENCE, 1973, 17 (04) :1031-1041
[9]   SOME ASPECTS OF NONISOTHERMAL CRYSTALLIZATION OF POLYMER .1. RELATIONSHIP BETWEEN CRYSTALLIZATION TEMPERATURE, CRYSTALLINITY, AND COOLING CONDITIONS [J].
NAKAMURA, K ;
WATANABE, T ;
KATAYAMA, K .
JOURNAL OF APPLIED POLYMER SCIENCE, 1972, 16 (05) :1077-&
[10]   Cyclic differential scanning calorimetry and the melting and solidification of pure metals [J].
OReilly, KAQ ;
Cantor, B .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 452 (1952) :2141-2160