Hoofd L J, Tong R R, Stroeve P
Ann Biomed Eng. 1986;14(6):493-511. doi: 10.1007/BF02484468.
The nonlinear diffusion-reaction equations describing the nonequilibrium transport of CO2 through flat layers of complex but homogeneous aqueous media were solved by an approximate analytical method called the "Combined Damköhler Number" (CDN) technique. Unlike other approximate analytical solutions, the CDN technique is valid for the full range of Damköhler numbers, i.e., for any layer thickness. The present theoretical treatment uses as a basis the equilibrium approach of Stroeve, Hoofd, and Kreuzer which accounts for any species in the solution except for possible carbamate formation (binding of CO2 by the protein). The nonequilibrium model developed here for CO2 transport is the most general technique currently available in the literature. Theoretical results were compared to experimental data from the literature for diffusion in bicarbonate and albumin solutions and were generally in good agreement. Results obtained from numerical calculations were also compared and were found to be in excellent agreement with the CDN results.
描述二氧化碳在复杂但均匀的水介质平板层中进行非平衡传输的非线性扩散-反应方程，通过一种称为“组合达姆科勒数”（CDN）技术的近似解析方法求解。与其他近似解析解不同，CDN技术在整个达姆科勒数范围内均有效，即对于任何层厚度都有效。目前的理论处理以斯特勒夫、胡夫德和克罗伊泽的平衡方法为基础，该方法考虑了溶液中的任何物种，但可能形成氨基甲酸盐（蛋白质与二氧化碳的结合）除外。这里开发的用于二氧化碳传输的非平衡模型是目前文献中最通用的技术。将理论结果与文献中关于在碳酸氢盐和白蛋白溶液中扩散的实验数据进行了比较，总体上吻合良好。还比较了数值计算得到的结果，发现与CDN结果吻合极佳。
