Table 2 Influence of n on different parameters
From: Extension of Murray's law using a non-Newtonian model of blood flow
Parameters | Newtonian n = 1 | Non-Newtonian n = 0.81 | Non-Newtonian n = 0.74 | |||
|---|---|---|---|---|---|---|
ΣR3 | ΣR2.5 | ΣR3 | ΣR2.45 | ΣR 3 | ΣR 2.43 | |
Volumetric flow | R 3 | R 2.5 | R 3 | R 2.45 | R 3 | R 2.43 |
Velocity of flow | R | R 0.5 | R | R 0.45 | R | R 0.43 |
Vessel wall shear stress | 1 | R -0.5 | 1 | R -0.55 | 1 | R -0.57 |
Reynolds number | R 2 | R 1.5 | R 2 | R 1.45 | R 2 | R 1.43 |
Pressure gradient | R -1 | R -1.5 | R -1 | R -1.45 | R -1 | R -1.42 |
Conductance | R | R 1.5 | R 0.43 | R 0.98 | R 0.22 | R 0.79 |
Resistance | R -1 | R -1.5 | R -0.43 | R -0.98 | R -0.22 | R -0.79 |
Cross sectional area | R -1 | R -0.5 | R -1 | R -0.45 | R -1 | R -0.43 |
Entropy generation | R 2 | R 2 | R 2 | R | R 2 | R |
β and | 1.26 | 1.52 | 1.26 | 1.51 | 1.26 | 1.50 |
