半无限大介质中非稳态扩散模型的精确解

A Precision Solution for Unsteady-State Diffusion in Semi-infinite Medium

以组分A在固体相或流体相表面被吸收、在相内进行非稳态扩散和化学反应的过程为研究对象,在固体相或流体相可视为半无限大、组分A按一及反应机理进行反应的情况下,对该半无限大介质中同时存在非稳态扩散和化学反应的传质微分方程式进行适当的简化,采用数学分析手段,提出了一种求其精确解的方法,并对有限介质中的一个非稳态扩散模型给出了精确解。

A method for determining precision solution of a mass transfer differential equation for an unsteady-state diffusion and reaction process in a semiinfinite medium is presented. The semiinfinite medium may be solid or fluid. A component A is absorbed on the surface of the solid or in fluid phase,diffuses unsteadily, and reacts in the phase. The reaction component A is considered as one order. The precision solution of the unsteady-state diffusion model in the finite medium is given.