Fuzzy Analysis for Thin-Film Flow of a Third-Grade Fluid Down an Inclined Plane

Table 2

Method of slope linear regression through the fuzzy velocity data points at and for different values of on Microsoft Excel 2016.

A	B	C	D	E	A	B	C	D	E
α-cut	u (x, α)	(x, α)	Mid values		α-cut	u (x, α)	(x, α)	Mid values
0	0.05	0.8508	0.4604		0	0.05	0.8796	0.4648
0.1	0.0874	0.8036	0.4455		0.1	0.0882	0.8299	0.4591
0.2	0.1248	0.7579	0.4414		0.2	0.1264	0.7817	0.4541
0.3	0.1624	0.7136	0.438		0.3	0.1648	0.7352	0.4501
0.4	0.2002	0.6707	0.4355		0.4	0.2035	0.6901	0.4468
0.5	0.2383	0.629	0.4337		0.5	0.2426	0.6465	0.4446
0.6	0.2768	0.5884	0.4326		0.6	0.2826	0.6041	0.4431
0.7	0.3158	0.549	0.4324		0.7	0.3221	0.563	0.4431
0.8	0.3554	0.5105	0.433		0.8	0.3627	0.523	0.4429
0.9	0.3955	0.473	0.4343		0.9	0.404	0.4841	0.4441
1	0.4364	0.4364	0.4364		1	0.4461	0.4461	0.4461
Slope	0.385418	−0.41346	−0.01855		Slope	0.395118	−0.43247	−0.01870909
at	λ = 0.85					λ = 0.90