Mechanical Models of the Dynamics of Vitreous Substitutes

Figure 3

Dependency of the maximum shear stress at the wall on the viscosity in the case of a purely viscous fluid. The two curves correspond to two different values of the frequency of eye rotations (dashed line 20 rad/s; solid line 10 rad/s; A = 20 deg = 𝜋/9 rad). W: water; S.O.: silicon oils (𝜌=960 Kg/m³, 𝜇=0.96 Pa·s, and 𝜇=4.8 Pa·s). In the figure we also report with symbols the values of the maximum wall shear stress obtained in the case of a viscoelastic fluid and adopt the rheological properties measured in [18, 19]. Solid square: complex viscosity 𝜇^∗=0.39−𝑖 Pa·s, 𝜔=10 rad/s [18]; empty square: 𝜇^∗=0.07−0.28𝑖 Pa·s, 𝜔=10 rad/s [18]; solid circle: 𝜇^∗=0.07−−0.28𝑖 Pa·s, 𝜔=12.57 rad/s [19]; and empty circle: 𝜇^∗=0.03−0.064𝑖 Pa·s, 𝜔=12.57 rad/s [19].