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Table 1 Numerical values of \(g'''(\eta)\) at \(\eta= 0\), for various Re in different sections, compared with the analytical formula (89)

From: Asymptotic solutions on multiple solutions arising from laminar flow in a uniformly porous channel with expanding or contracting walls

Re

Section

α = −0.05

α = 0

α = 0.05

(89)

Numerical

(89)

Numerical

Robinson [9]

(89)

Numerical

−28.142

I

−0.1993

−0.1064

−0.1986

−0.1791

−0.1984

−0.1978

−0.3094

−37.519

I

−0.0322

−0.0047

−0.0321

−0.0313

−0.0321

−0.2320

−0.2160

−49.008

I

−0.0029

0.0000

−0.0029

−0.0029

−0.0029

−0.2289

−0.2109

−55.934

I

−0.0007

0.0000

−0.0007

−0.0007

−0.0007

−0.2124

−0.2104

−28.139

II

0.1994

0.3571

0.1987

0.2249

0.1986

0.1979

0.1377

−37.791

II

0.0305

0.2058

0.0304

0.0311

0.0303

0.0303

0.0045

−44.717

II

0.0073

0.1992

0.0073

0.0073

0.0073

0.0073

0.0002

−56.008

II

0.0006

0.0000

0.0006

0.0006

0.0006

0.0006

0.0000