Williamson Fluid Model for the Peristaltic Flow of Chyme in Small Intestine

Table 1

Numerical and perturbation solutions for axial velocity 𝑤(𝑟,𝑧).

𝑟	Numerical Sol.	Perturbation Sol.	Error
	𝑤(𝑟,𝑧)	𝑤(𝑟,𝑧)
0.10	−1.0000	−1.0000	0.0000
0.15	−1.0284	−1.0286	0.0002
0.20	−1.0470	−1.0473	0.0003
0.25	−1.0599	−1.0601	0.0002
0.30	−1.0687	−1.0689	0.0002
0.35	−1.0745	−1.0748	0.0003
0.40	−1.078	−1.0781	0.0001
0.45	−1.0794	−1.0795	0.0001
0.50	−1.0790	−1.0790	0.0000
0.55	−1.0770	−1.0770	0.0000
0.60	−1.0734	−1.0734	0.0000
0.65	−1.0685	−1.0684	0.0001
0.70	−1.0622	−1.0622	0.0000
0.75	−1.0546	−1.0547	0.0001
0.80	−1.0461	−1.0460	0.0001
0.85	−1.0362	−1.0361	0.0001
0.90	−1.0251	−1.0252	0.0001
0.95	−1.0128	−1.0131	0.0003
1.0	−1.0000	−1.0000	0.0000