By Takashi Kotoyori
The worth of the severe temperature (Tc), under which the thermal explosion of a chemical can't ensue, is essential to avoid this sort of chemical from exploding. with a view to confirm the Tc it has thus far been essential to degree the price in explosion experiments. due to the inherent risks, purely few Tc values can be found at the present. severe Temperatures for the Thermal Explosion of chemical compounds introduces new and easy strategies to calculate the Tc. therefore Tc may be calculated for quite a number chemical compounds, lots of that are indexed during this new quantity. The calculated values of Tc are proven to have the same opinion with experimentally decided values.
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Extra info for Critical Temperatures for the Thermal Explosion of Chemicals
3 Derivation of the Frank-Kamenetskii equation An equation holding between the rate of heat transfer per unit volume per unit time by the thermal conduction in a stationary medium, /. , in a solid, in reality, and, the rate of increase in temperature of the solid is given in the following form, cp dT =divAgmdT. (18) dt This is referred to as the Fourier equation regarding the thermal conduction. * Figure 73 in Semenov's book corresponds to Fig. 2. 10 Chapter I Following the example of Eq. (18), an equation holding among the rate of heat generation per unit volume per unit time in a solid chemical of the TD type, having an arbitrary shape and an arbitrary size, placed in the atmosphere maintained at a Ta, the rate of heat transfer per unit volume per unit time by the thermal conduction in the solid chemical, and, the rate of increase in temperature of the solid chemical in the early stages of the self-heating process is expressed as cp = divAgradT + AH Aoexp E RT (19) where the zeroth-order assumption is, of course, made .
On the other hand, assuming the cooling mode of the fluid to be Newtonian, the quantity of heat transferred per unit time from the fluid, through the whole fluid surface, across the container walls, to the atmosphere, qi, is expressed as q2=US(Tf-Ta). TacKTaj,, we get the response shown in Fig. 2,*** where are drawn one q\ curve with regard to the heat generation and three q2 lines, with regard to the heat transfer, corresponding each to the three values of Ta, respectively. When the curve is above a line for a given value of Ta, the heating of the fluid takes place, and when it is below a line, the cooling does.
When the curve is above a line for a given value of Ta, the heating of the fluid takes place, and when it is below a line, the cooling does. The two intersections This derivation is performed anew herein on referring to the original formulation performed by Semenov . The fluid was assumed to be a self-heating gas in the formulation performed by Semenov. Fig. 2 is sometimes referred to as the Semenov diagram. Chapter 1 of the straight line of heat transfer with the heat generation curve degenerate at the limit to the point of tangency.
Critical Temperatures for the Thermal Explosion of Chemicals by Takashi Kotoyori