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
--
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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