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

Table 3

Estimates of mean velocity of two-fluid H-B and Casson models for different values of 𝑚 and 𝐵 in arteries with different radii with 𝑡= 60^∘, 𝛽=𝑛=0.95, 𝜃=𝛿_𝑃=0.1, 𝜙=𝛼=𝛼_𝐻=𝛼_𝐶=0.2, 𝑧=2.3, 𝑒=0.5, 𝜔=1, and 𝑏=0.1.

(a) Two-fluid H-B model (×10⁻² m s⁻¹)

Serial number	Artery type	𝐵=0			𝐵=2
		𝜓=−0.1	𝜓=0	𝜓=0.1	𝜓=−0.1	𝜓=0	𝜓=0.1
1	Aorta	41.41	44.35	47.25	46.34	49.62	53.25
2	Femoral	47.73	50.07	53.82	51.38	54.67	57.49
3	Carotid	47.73	52.07	55.82	51.38	54.67	57.49
4	Coronary	90.43	93.85	96.61	93.41	96.33	99.75
5	Arteriole	0.63	0.72	0.78	0.69	0.79	0.91

(b) Two-fluid Casson model (×10⁻² m s⁻¹)

Serial number	Artery type	𝐵=0			𝐵=2
		𝜓=−0.1	𝜓=0	𝜓=0.1	𝜓=−0.1	𝜓=0	𝜓=0.1
1	Aorta	37.41	40.89	44.72	42.49	46.01	50.76
2	Femoral	42.95	46.05	50.65	48.79	51.98	55.14
3	Carotid	42.95	46.05	50.65	49.79	51.98	55.14
4	Coronary	84.63	87.67	92.77	89.36	92.57	95.85
5	Arteriole	0.52	0.64	0.77	0.65	0.77	0.90