微循环双重介质模型分析

THE ANALYSIS OF DOUBLE POROSITY MEDIUM MODEL

目的 研究微循环中非定常流动条件下,毛细血管血液和组织液的流动及物质交换。方法 借鉴石油领域中渗流力学理论,建立了毛细血管和组织间隙流体的双重介质模型,采用傅立叶交换法进行求解,分别计算不考虑时间因素和考虑时间因素的结果,并进行比较。结果 通过对两种情况下的结果比较,得出不考虑时间因素时漏失量呈指数形式下降,与文献资料一致;考虑时间因素时,漏失量先迅速增加,然后呈指数形式下降;毛细血管与组织间隙压力差不随时间变化。结论 分析结果验证了所建立微循环模型的正确性,有益于进一步的研究。

Objective To study the flow property in microcirculation and material exchange. Methods Based on the porosity concept used in the petroleum fields, this paper set up the double porosity medium model of capillary and tissue. In the case of regardless the liquid permeable pressure of capillary and tissue , the leakage formula is obtained. The numercal analysis was conducted under different conditions; with the affection of time and without the affection of time. Results The comparison of numerical results show that: the leakage volume decreased along capillary without the affection of time; with the affection of time the leakage volume increased quickly at first and the decreased slowly. Conclusion The results are benefits to further study of material and energy exchange in the system of capillary and tissue.