Comparative Analysis of Mathematical Models for Blood Flow in Tapered Constricted Arteries

Table 1

Estimates of the increase in the longitudinal impedance to flow due to the increase in the maximum depth of the stenosis for two-fluid H-B and Casson models and for different angles of tapering with 𝐵=1, t = 60°, 𝛽=𝑛=0.95, 𝜃=0.1, 𝜙=𝛼=𝛼_𝐻=𝛼_𝐶=0.2, 𝑧=2.3, 𝑒=0.5, 𝜔=1, and 𝑏=0.1.

𝛿𝑃	Two-fluid H-B model			Two-fluid Casson model
	𝜓=−0.1	𝜓=0	𝜓=0.1	𝜓=−0.1	𝜓=0	𝜓=0.1
0.025	1.1398	1.1392	1.1386	1.1440	1.1433	1.1627
0.05	1.3049	1.3034	1.3020	1.3147	1.3132	1.3354
0.075	1.5009	1.4983	1.4957	1.5183	1.5155	1.5412
0.1	1.7350	1.7308	1.7267	1.7626	1.7582	1.7880
0.125	2.0165	2.0103	2.0041	2.0577	2.0511	2.0858
0.15	2.3574	2.3483	2.3393	2.4170	2.4072	2.4480