含水量與Dk值之關係 縱軸為DK值[單位:10^(-11)*cm^2*mole O2*second^(-1)*ml^(-1)*mmhg^(-1)] 橫軸為water content[單位:%] http://www.wretch.cc/album/show.php?i=kramnik1&b=30&f=1054551174&p=1 根據morgan的實驗，hydrogel中含水量與DK值間之關係為 Dk = 1.67*e^(0.0397*W)…….其中w為水的質量比例 資料出處：Morgan PB, Efron N. The oxygen performance of contemporary hydrogel contact lenses. Contact Lens Ant Eye. 1997;21:3-6. ============================================================================ 物理模型推導: the Maxwell-blotzmann distribution http://www.wretch.cc/blog/kramnik1/13700353 fisk's law 推導 (對於理想氣體) http://www.wretch.cc/blog/kramnik1/13700363 fisk's law 推導 (對於理想液體..使用stoke's law..納入Einstein relation) http://www.wretch.cc/blog/kramnik1/13700368 我們可以推導出fisk’s first law 設單位體積內濃度為Φ，單位截面單位時間濃度流出量為J，D是擴散參數 J = -D*▽Φ for T = constant，D = constant J單位為[mole*length^-2*time^(-1)] Φ單位為[mole*length^(-3)] D單位為[length^2*time^(-1)] ========================================================================== 如果要求取暫態解..我們會需要使用到fisk's second law fisk's second law推導 http://www.wretch.cc/blog/kramnik1/13700372 mathematical tactic to slove diffusion equation http://www.wretch.cc/blog/kramnik1/13700375 =========================================================================== 我們已經解決了擴散係數..接下來要解決溶解係數.. 熱力學三定律 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 我們可以得到 Henry’s law 等溫狀態下，設P為大氣中溶解物之分壓，溶液內單位體積內溶解物濃度為Φ， K為溶解參數，則　K*P = Φ成立 P單位為[pressure] Φ單位為[mole*length^(-3)] K單位為[mole*length^(-3)*pressure^(-1)] ============================================================================== Cohen and Turnbull liquid model http://www.wretch.cc/blog/kramnik1/13719546 含水量與DK間之關係(morgan近似式) http://www.wretch.cc/blog/kramnik1/13700390 --

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