Table 4 Comparison of the flow properties (minimum, mean and maximum values) as calculated by non Newtonian unsteady CFD simulations and Womersley’s solution
From: An in vitro test bench reproducing coronary blood flow signals
Viscosity μ (Pa s) | Flow rate Q (ml/min) | WSS τ (Pa) | WSSTD dτ/dt (Pa/s) | ||||
|---|---|---|---|---|---|---|---|
Womersley | Womersley | In vitro | Womersley | In vitro | Womersley | In vitro | |
Patient 1 | |||||||
Min | 3.42 × 10−3 | 85.2 | 118.2 | −0.16 | 0.22 | −22.01 | −13.88 |
Mean | 3.42 × 10−3 | 197.8 | 198.4 | 0.73 | 0.74 | 0 | 0 |
Max | 3.42 × 10−3 | 306.5 | 298.8 | 1.50 | 1.50 | 37.14 | 25.95 |
Patient 2 | |||||||
Min | 3.09 × 10−3 | 177.7 | 219.6 | −0.30 | 0.37 | −64.40 | −19.86 |
Mean | 3.09 × 10−3 | 310.4 | 310.9 | 1.14 | 1.15 | 0 | 0 |
Max | 3.09 × 10−3 | 421.5 | 395.7 | 2.16 | 1.88 | 75.13 | 36.09 |
Patient 3 | |||||||
Min | 3.85 × 10−3 | 186.7 | 187.1 | 0.33 | 0.42 | −25.13 | −14.05 |
Mean | 3.85 × 10−3 | 380.7 | 380.9 | 1.41 | 1.41 | 0 | 0 |
Max | 3.85 × 10−3 | 521.1 | 509.6 | 2.56 | 2.69 | 43.75 | 27.55 |
Patient 4 | |||||||
Min | 3.11 × 10−3 | 315.3 | 307.2 | 0.77 | 0.77 | −21.09 | −13.83 |
Mean | 3.11 × 10−3 | 508.6 | 508.4 | 1.88 | 1.88 | 0 | 0 |
Max | 3.11 × 10−3 | 709.9 | 674.5 | 3.27 | 3.09 | 45.28 | 32.04 |
Patient 5 | |||||||
Min | 3.69 × 10−3 | 280.6 | 305.2 | 0.13 | 0.71 | −84.83 | −13.16 |
Mean | 3.69 × 10−3 | 488.9 | 489.7 | 1.80 | 1.81 | 0 | 0 |
Max | 3.69 × 10−3 | 627.8 | 632.6 | 2.87 | 2.89 | 87.48 | 28.21 |