The human eye contains aqueous humor, which sepa-rates the
Chapter 9, Problem 9.108(choose chapter or problem)
The human eye contains aqueous humor, which sepa-rates the external cornea and the internal irislens struc-ture. It is hypothesized that, in some individuals, smallflakes of pigment are intermittently liberated fromthe iris and migrate to, and subsequently damage, thecornea. Approximating the geometry of the enclosureformed by the cornea and irislens structure as a pair ofconcentric hemispheres of outer radius ro?10 mmand inner radius ri?7 mm, respectively, investigatewhether free convection can occur in the aqueoushumor by evaluating the effective thermal conductivityratio, keff/k. If free convection can occur, it is possiblethat the damaging particles are advected from the iristo the cornea. The irislens structure is at the core tem-perature, Ti?37?C, while the cornea temperature ismeasured to be To?34?C. The properties of the aque-ous humor are ??990 kg/m3, k?0.58 W/mK ? ,cp?4.2?103J/kg?K, ?7.1?10?4N?s/m2, a?? .2? K?1.
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