Oxygen transfer from the atmosphere to the interior regions of the eye depends enormously on whether one wears contact lenses. Treating the eye as a composite spherical system, determine the mass transfer rate from the atmosphere through the cornea with and without contact lenses. You may assume dilute solutions. The oxygen concentration in the interior is maintained at a uniform level by circulation of the fluid inside the eye as shown in Figure P4.30.

\(\begin{array}{ll}\text { Data: } & x_{a \infty}=0.2 \quad x_{a o}=0.05 \quad r_{1}=0.012 \mathrm{~m} \\ & r_{2}=0.0127 \mathrm{~m} \quad r_{3}=0.014 \mathrm{~m} \quad D_{a 1}=1 \times 10^{-6} \mathrm{~m}^{2} / \mathrm{s} \\ & D_{a 2}=5 \times 10^{-6} \mathrm{~m}^{2} / \mathrm{s} \quad k_{c}=0.001 \mathrm{~m} / \mathrm{s}^{-1} \quad c_{t}=0.008 \mathrm{moles} / \mathrm{m}^{3}\end{array}\)

Transcribed Image Text:

FIGURE P4.30 Dal Daz Xax 13. Xao Interior K Cornea Contact lens