Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries

Table 4

Estimates of percentage of increase in resistance to flow 𝜆₂ for arteries with different radii and with (i) bell-shaped stenosis (ii) cosine curve-shaped stenosis.

Blood vessels	Bell-shaped stenosis					Cosine curve-shaped stenosis
	𝜆2 (%)					𝜆2 (%)
	𝑎=0.1	𝑎=0.1	𝑎=0.1	𝑎=0.2	𝑎=0.2	𝑎=0.1	𝑎=0.2
	𝑚=2	𝑚=2	𝑚=3	𝑚=3	𝑚=2
	𝐿0=1.0	𝐿0=1.5	𝐿0=1.5	𝐿0=1.5	𝐿0=1.5	𝐿0=1.0	𝐿0=1.5
Aorta	4.06	6.09	4.33	10.42	15.31	4.28	15.79
Femoral	4.23	6.34	4.50	10.87	15.99	4.45	16.78
Carotid	4.25	6.38	4.53	10.95	16.11	4.50	16.96
Coronary	4.40	6.60	4.68	11.35	16.72	4.71	17.86
Arteriole	4.23	6.34	4.50	10.88	16.00	4.47	16.79