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

Table 4

Estimates of mean flow rate 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	68.16	72.58	76.57	74.63	80.28	86.48
2	Femoral	15.28	18.23	21.26	20.54	26.41	30.27
3	Carotid	10.69	12.27	14.72	13.66	15.64	18.27
4	Coronary	4.25	4.89	5.11	4.57	4.93	5.28
5	Arteriole	72.5𝐸−6	77.2𝐸−6	82.4𝐸−6	74.6𝐸−6	80.6𝐸−6	85.6𝐸−6

(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	63.35	68.54	73.17	69.46	75.39	81.81
2	Femoral	12.85	15.63	18.83	16.53	21.18	26.44
3	Carotid	8.21	10.87	13.16	11.43	13.95	15.73
4	Coronary	3.16	3.57	3.95	3.45	3.99	4.36
5	Arteriole	66.7𝐸−6	71.6𝐸−6	77.2𝐸−6	70.1𝐸−6	75.4𝐸−6	81.1𝐸−6