Arbitrary container

The above condition is the formal definition of the Semenov model. The Semenov equation becomes effective under the condition above referred to and defines the Tf for an arbitrary volume of a self-healing fluid (a sclf-hcating liquid chemical, in general) of the TD type charged, or confined, in an arbitrary container and placed in the atmosphere under isothermal conditions. The Semenov equation is thus appropriate for the calculation of the TV for every liquid chemical of the TD type. ... 

Now, the Semenov equation is certainly based on the nonstationary theory of the thermal explosion, because this equation holds on the assumption that the spatial distribution of temperature in a fluid fdled in the container and placed in the atmosphere maintained at a temperature situated below the critical state for the thermal explosion, is uniform (refer to Section 1.2). In this regard, it has been ascertained in a series of studies, which are described in Subsections 5.5.3 and 5.7.2, as well that the spatial distribution of temperature in an arbitrary volume of a liquid charged in an arbitrary container and placed in the atmosphere under isothermal conditions is perfectly uniform in the early stages of the self-heating process, except the thin upper surface layer, even if it is not stirred mechanically [18]. 

Chapter 5 Procedure to calculate the for an arbitrary volume of a liquid charged in an arbitrary container and placed in the atmosphere under isothermal conditions... 

That is, for the purpose of calculating the Tc for an arbitrary volume of a liquid charged in an arbitrary container and placed in the atmosphere under isothermal conditions, we have only to perform, on the one hand, several adiabatic self-heating tests, which are started from each T, with mutual intervals of 1 2 K, in order to calculate the heat generation data of the liquid, for 2 cm each of several samples of the liquid charged each in the open-cup cell, for the time, A t, required for the temperature of each sample of the liquid to increase by the definite value of AT of. 25 K from the corresponding T, respectively, and, we have only to measure, on the other hand, apart from the measurements of the individual values of c and jO of the liquid, the main heat transfer data, Le., the individual values of and (7, - T,e,-i,p), of an arbitrary volume of the liquid charged in an arbitrary container and placed in the atmosphere maintained at a Tset-up, in temperature differences of 1.25 K between the Tut, and the Tset-up, under conditions of no air circulation. 

It has already been confirmed well that it is possible, in principle, to calculate the 7). for a powdery chemical of the TD type, including every gas-permeable oxidatively-heating substance, having an arbitrary shape and an arbitrary size, placed in the atmosphere under isothermal conditions, by applying the F-K equation, i.e., Eq. (29) derived in Section 1.3. On the other hand, the method to calculate the T. for an arbitrary volume of a liquid charged in an arbitrary container and placed in the atmosphere under isothermal conditions has so far been left unresolved. 

Now, every liquid may also have the uniform distribution of internal temperature as a kind of fluid. In other words, as stated in Section 1.5, it will be permitted to say that a condition, UKK A, holds at all times, on account of its own fluidity, in an arbitrary volume of every liquid charged in an arbitrary container and placed in the atmosphere under isothermal conditions. The problem in considering the critical condition for the thermal explosion of a liquid is, thus, not the heat transfer by the convection in the mass of the liquid, but the heat transfer or the heat loss by the conduction from the liquid charged in an arbitrary container and placed in the atmosphere under isothermal conditions, through the whole liquid surface, across the container walls, to the atmosphere. 

The experimental method to measure the main heat transfer data of an arbitrary volume of a liquid charged in an arbitrary container and placed in the atmosphere maintained at a Tsei-up, in temperature differences of 1.25 K between the Tiitf and the T ePup, under conditions of no air circulation, is explained in detail in Subsections 5.5.3 and 5.7.2. 

As stated repeatedly herein, however, whether the thermal explosion of an arbitrary volume of a liquid charged in an arbitrary container and placed in the (static) atmosphere under isothermal conditions occurs or not is decided by the ratio of the rate of heat generation in the liquid to the rate of heat transfer from the liquid to the atmosphere at the critical state for the thermal explosion which exists at the end of the early stages of the self-heating process. This orthodox approach to the thermal explosion research of every liquid has thus no concern with any convective flow inliquids. In this regard, Semenov did not leave any comment, to the effect that stirring is indispensable in the thermal explosion research of every self-heating fluid, either [3]. 

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