含水量与Dk值之关系 纵轴为DK值[单位:10^(-11)*cm^2*mole O2*second^(-1)*ml^(-1)*mmhg^(-1)] 横轴为water content[单位:%] http://www.wretch.cc/album/show.php?i=kramnik1&b=30&f=1054551174&p=1 根据morgan的实验，hydrogel中含水量与DK值间之关系为 Dk = 1.67*e^(0.0397*W)…….其中w为水的质量比例 资料出处：Morgan PB, Efron N. The oxygen performance of contemporary hydrogel contact lenses. Contact Lens Ant Eye. 1997;21:3-6. ============================================================================ 物理模型推导: the Maxwell-blotzmann distribution http://www.wretch.cc/blog/kramnik1/13700353 fisk's law 推导 (对於理想气体) http://www.wretch.cc/blog/kramnik1/13700363 fisk's law 推导 (对於理想液体..使用stoke's law..纳入Einstein relation) http://www.wretch.cc/blog/kramnik1/13700368 我们可以推导出fisk’s first law 设单位体积内浓度为Φ，单位截面单位时间浓度流出量为J，D是扩散参数 J = -D*▽Φ for T = constant，D = constant J单位为[mole*length^-2*time^(-1)] Φ单位为[mole*length^(-3)] D单位为[length^2*time^(-1)] ========================================================================== 如果要求取暂态解..我们会需要使用到fisk's second law fisk's second law推导 http://www.wretch.cc/blog/kramnik1/13700372 mathematical tactic to slove diffusion equation http://www.wretch.cc/blog/kramnik1/13700375 =========================================================================== 我们已经解决了扩散系数..接下来要解决溶解系数.. 热力学三定律 http://www.wretch.cc/blog/kramnik1/13700378 clausius theorem http://www.wretch.cc/blog/kramnik1/13700379 Arrhenius Equation http://www.wretch.cc/blog/kramnik1/13700382 henry's law http://www.wretch.cc/blog/kramnik1/13700384 我们可以得到 Henry’s law 等温状态下，设P为大气中溶解物之分压，溶液内单位体积内溶解物浓度为Φ， K为溶解参数，则　K*P = Φ成立 P单位为[pressure] Φ单位为[mole*length^(-3)] K单位为[mole*length^(-3)*pressure^(-1)] ============================================================================== Cohen and Turnbull liquid model http://www.wretch.cc/blog/kramnik1/13719546 含水量与DK间之关系(morgan近似式) http://www.wretch.cc/blog/kramnik1/13700390 --

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