On the Solution of the Poisson‐Boltzmann Equation with Application to the Theory of Thermal Explosions
On the Solution of the Poisson‐Boltzmann Equation with Application to the Theory of Thermal Explosions
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DOI：
10.1063/1.1700291
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发表时间：
1952-11
影响因子：
4.4
通讯作者：
P. Chambré
中科院分区：
文献类型：
--
作者：
P. Chambré
最初由弗兰克·卡梅涅茨基提出的热爆炸理论一直是许多研究的主题。可燃性的临界条件需要非线性Poisson-Boltzmann微分方程的解。对于圆柱形或球形反应容器的情况，以前的研究人员通过方程的数值积分获得了解。然而，在下文中示出了可以根据已知函数来获得解。
The theory of thermal explosions originally proposed by Frank‐Kamenetzky has been the subject of a number of investigations. The critical condition of inflammability requires the solution of the nonlinear Poisson‐Boltzmann differential equation. For the case of a reaction vessel of cylindrical or spherical shape the solution was obtained by previous investigators by numerical integration of the equation. It is shown, however, in the following that the solutions can be obtained in terms of known functions.