TY - JOUR

T1 - A basic problem in mathematical modelling in pyrolysis

T2 - The number of the unknown parameters

AU - Várhegyi, Gábor

PY - 1980/7

Y1 - 1980/7

N2 - Thermal decomposition processes examined by pyrolysis are usually composed of a complex combination of several elementary reactions. Their reliable mathematical modelling leads to complicated equations with many unknown parameters. If the number of parameters is too large, different sets of values of the parameters can provide an acceptable fit between the experimental data and the corresponding theoretical data. In such instances, special chemical considerations or hypotheses should be used to reduce the number of parameters. This problem is illustrated in three examples. The first example, a general problem of thermal analysis, is connected with the kinetics of simultaneous non-isothermal reactions, and the second and the third examples are actual problems arising in the examination of vinyl copolymers by pyrolysis-gas chromatography.

AB - Thermal decomposition processes examined by pyrolysis are usually composed of a complex combination of several elementary reactions. Their reliable mathematical modelling leads to complicated equations with many unknown parameters. If the number of parameters is too large, different sets of values of the parameters can provide an acceptable fit between the experimental data and the corresponding theoretical data. In such instances, special chemical considerations or hypotheses should be used to reduce the number of parameters. This problem is illustrated in three examples. The first example, a general problem of thermal analysis, is connected with the kinetics of simultaneous non-isothermal reactions, and the second and the third examples are actual problems arising in the examination of vinyl copolymers by pyrolysis-gas chromatography.

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U2 - 10.1016/0165-2370(80)80040-4

DO - 10.1016/0165-2370(80)80040-4

M3 - Article

AN - SCOPUS:49149142077

VL - 2

SP - 1

EP - 6

JO - Journal of Analytical and Applied Pyrolysis

JF - Journal of Analytical and Applied Pyrolysis

SN - 0165-2370

IS - 1

ER -