固体中扩散的数学理论：与时间有关的第一类边界条件
The Mathematical Theory Of Diffusion In Solids: Time Dependent First Kind Boundary Conditions
摘要：
本文提出了一维扩散方程在时变第一类边界条件下的一种新解法，其中导出了表面处的时变函数，提出了一种表面饱和模型。该解决方案可能有助于处理扩散过程，其中扩散的总时间与固体表面饱和所花费的时间相当，从而在由外部源提供的扩散元素与通过扩散动力学机制内部转移的扩散元素之间实现动态平衡。工作的例子恒定的扩散系数和讨论。
英文摘要：
A new solution to the mono-dimensional diffusion equation for time-variable first kind boundary condition is presented where the time-variable function at the surface is derived proposing a surface saturation model. This solution may be helpful in the treatment of diffusion processes where the overall time of diffusion is comparable with the time taken by the surface of the solid body to saturate achieving a dynamical equilibrium between the diffusing elements supplied by the external source and the ones transferred internally through the diffusion kinetic mechanisms. Worked examples for constant diffusion coefficient are presented and discussed.
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