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PDF - Institut national polytechnique de Toulouse

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conditions cannot be accomplished for the very low and very high ranges of the reaction<br />

extent α.<br />

Isothermal experiments cannot be carried out at temperatures when the reaction rate<br />

is too fast and significant <strong>de</strong>composition may occur during settling of the experimental<br />

temperature at the beginning of the experiment. This un<strong>de</strong>fined period <strong>de</strong>pends upon the<br />

experimental conditions (applied temperature ramp, sample mass, the kind of carrier<br />

gas) and reactant properties (c p , thermal conductivity, the mechanism of the<br />

<strong>de</strong>composition) and makes it experimentally impossible to achieve strictly isothermal<br />

conditions over the full range of conversion. For many kinetic mo<strong>de</strong>ls the maximum rate<br />

of <strong>de</strong>composition, un<strong>de</strong>r isothermal conditions occurs at the beginning of the reaction.<br />

As far as non-isothermal experiments, he noticed difficulties of the <strong>de</strong>termination of<br />

the α-T <strong>de</strong>pen<strong>de</strong>nce at the beginning of the <strong>de</strong>composition. Due to the specific shape of<br />

this <strong>de</strong>pen<strong>de</strong>nce for some functions, especially for the contracting geometry and diffusion<br />

mo<strong>de</strong>ls, the change of the reaction progress from 0.001 to 0.02 required, at a heating rate<br />

of 5 K.min -1 , the temperature change of 63 K (R2) or 109 K (D3), respectively. Due to<br />

buoyancy effects, the <strong>de</strong>termination of such small mass changes over a relatively long<br />

period of time is uncertain.<br />

Another important factor that affects the reliability of kinetic data obtained for very<br />

low and very high a values is self-heating/cooling. The distortion of the preset<br />

temperature program is especially high at the beginning of isothermal and at the end of<br />

non-isothermal experiments due to the occurrence of the greatest thermal effects at these<br />

stages of the process. The effect of self-heating/cooling increases with increasing sample<br />

mass. The <strong>de</strong>viation of the actual T from the preset temperature may invalidate any<br />

evaluation of the kinetics triplets.<br />

Comparison of the kinetic parameters obtained un<strong>de</strong>r isothermal and non-isothermal<br />

conditions is aggravated by unavoidable experimental phenomena that affect the kinetic<br />

data. In the case of a relatively simple process, whose kinetics can be <strong>de</strong>scribed by<br />

a single kinetic triplet, the difference is primarily <strong>de</strong>termined by these experimental<br />

phenomena, but not by computational methods (provi<strong>de</strong>d they are valid).<br />

In the narrower ranges used un<strong>de</strong>r iso-thermal conditions, the difference between<br />

different mo<strong>de</strong>ls are much less visible.<br />

— 32 —

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