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A hydrodynamic model of aqueous flow in the posterior chamber of the eye

✍ Scribed by Allan B. Friedland

Publisher
Springer
Year
1978
Tongue
English
Weight
548 KB
Volume
40
Category
Article
ISSN
1522-9602

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✦ Synopsis

An analysis of the hydrodynamics of aqueous flow in the posterior chamber of the anterior segment of the eye is presented. The viscid, incompressible description of fluid dynamics in a spherical geometry is utilized to reduce the problem to a biharmonic-type equation using a "Stokes Stream Function". Analogous to Poiseuille flow in a cylindrical pipe, velocity profiles are deduced and an Ohms Law relationship between pressure and flow is derived in terms of the geometry of the assumed model. This result is then incorporated into a synthesized electric circuit analog 0f flow between ciliary artery and episcleral vein. Applications to open angle and pupilary block glat/coma are discussed.

V.v =0.

(2)

Here v_=V/l/o, p=P/pV~, r=R/Ro, t=VoT/Ro are the normalized unitless, velocity, pressure, position vector and time (V, P, R, Tare the unnormalized

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