Thermal explosion in reacting liquid systems in the presence of thermal convection

Мержанов, А. Г.; Shtessel, É. A.

doi:10.1007/bf00748916

Cited by 10 publications

(16 citation statements)

References 2 publications

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“…much below Frank-Kamenetskii"s threshold [10] of Gr ~ 10 4 . Such a conclusion has been supported by Merzhanov and Shtessel"s [15] experimental work on natural convection in a liquid inside a horizontal cylinder.…”

Section: Fig 2 Hereaboutssupporting

confidence: 56%

When do chemical reactions promote mixing?

Ivleva

Мержанов

Rumanov

et al. 2011

Chemical Engineering Journal

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Section: Fig 2 Hereaboutssupporting

confidence: 56%

When do chemical reactions promote mixing?

Ivleva

Мержанов

Rumanov

et al. 2011

Chemical Engineering Journal

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“…The experimental work of Merzhanov and Shtessel (1971) on liquid systems in a horizontal cylinder also indicated that natural convection has a significant influence at Rayleigh numbers well below the threshold value of 10 4 . These empirical observations of the effects of natural convection at lower values of Ra are supported by the analytical and numerical work of Jones (1973) and Shtessel et al (1971); they showed that when a zeroth-order reaction occurred between parallel plates, the critical Rayleigh number for the onset of convection is again ~ 500.…”

Section: Introductionmentioning

confidence: 94%

A comparison of measured temperatures with those calculated numerically and analytically for an exothermic chemical reaction inside a spherical batch reactor with natural convection

Campbell

Cardoso

Hayhurst

2007

Chemical Engineering Science

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“…rÁ À u = 0 (6) Initially, the reactor is considered to contain the reactant at a concentration c 0 , and the contents are assumed to be well-mixed. Per the Boussinesq approximation, the density only varies in the buoyancy term of eqn (5), in which r = r 0 [1 À b(T À T 0 )], where b is the coefficient of thermal expansion.…”

Section: Dimensional Equationsmentioning

confidence: 99%

“…The experimental work of Merzhanov and Shtessel 6 on liquid systems in a horizontal cylinder showed that natural convection is significant at Rayleigh numbers well below 10 4 . The experimental work of Merzhanov and Shtessel 6 on liquid systems in a horizontal cylinder showed that natural convection is significant at Rayleigh numbers well below 10 4 .…”

Section: Introductionmentioning

confidence: 99%

The effect of external heat transfer on thermal explosion in a spherical vessel with natural convection

Campbell

2015

Phys. Chem. Chem. Phys.

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When any exothermic reaction proceeds in an unstirred vessel, natural convection may develop. This flow can significantly alter the heat transfer from the reacting fluid to the environment and hence alter the balance between heat generation and heat loss, which determines whether or not the system will explode. Previous studies of the effects of natural convection on thermal explosion have considered reactors where the temperature of the wall of the reactor is held constant. This implies that there is infinitely fast heat transfer between the wall of the vessel and the surrounding environment. In reality, there will be heat transfer resistances associated with conduction through the wall of the reactor and from the wall to the environment. The existence of these additional heat transfer resistances may alter the rate of heat transfer from the hot region of the reactor to the environment and hence the stability of the reaction. This work presents an initial numerical study of thermal explosion in a spherical reactor under the influence of natural convection and external heat transfer, which neglects the effects of consumption of reactant. Simulations were performed to examine the changing behaviour of the system as the intensity of convection and the importance of external heat transfer were varied. It was shown that the temporal development of the maximum temperature in the reactor was qualitatively similar as the Rayleigh and Biot numbers were varied. Importantly, the maximum temperature in a stable system was shown to vary with Biot number. This has important consequences for the definitions used for thermal explosion in systems with significant reactant consumption. Additionally, regions of parameter space where explosions occurred were identified. It was shown that reducing the Biot number increases the likelihood of explosion and reduces the stabilising effect of natural convection. Finally, the results of the simulations were shown to compare favourably with analytical predictions in the classical limits of Semenov and Frank-Kamenetskii.

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Thermal explosion in reacting liquid systems in the presence of thermal convection

Cited by 10 publications

References 2 publications

When do chemical reactions promote mixing?

When do chemical reactions promote mixing?

A comparison of measured temperatures with those calculated numerically and analytically for an exothermic chemical reaction inside a spherical batch reactor with natural convection

The effect of external heat transfer on thermal explosion in a spherical vessel with natural convection

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