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Table 5 Comparison of the values of the local Nusselt number for various values of Nb and Nt with A = 2, Mn = Pr = S = Le = 1, θ r  → ∞, ε 1 = ε 2 = β = γ = 0

From: MHD squeeze flow and heat transfer of a nanofluid between parallel disks with variable fluid properties and transpiration

Nb

Nt

Hashmi et al. (2012)

Das et al.(2016)

Present Study

CPU time of the system in seconds

− θ′(1)

\( -{\overset{\frown }{h}}_{\theta} \)

\( {E}_{15}^{\theta} \)

0.1

0.1

0.52628540

0.526285397692707

0.5262854795861431

0.908516

1.412748795457583 × 10−11

54.439

0.5

0.63433253

0.526285397692707

0.6343325523545158

0.914084

1.52497172481667 × 10−13

54.525

1.0

0.78636385

0.634332530012476

0.7863638216341705

0.928943

9.805935149902197 × 10−13

54.009

1.5

0.95569955

0.955699547716439

0.9556995220292246

0.918411

7.022421405151564 × 10−12

54.625

1.5

0.5

1.17682119

1.176821184883260

1.1768208205076784

0.956179

2.358155300119884 × 10−10

53.940

1

1.48581207

1.485811936635642

1.4858197859422315

1.017842

1.217973748574313 × 10−8

53.585

1.5

1.82305276

1.823053529110100

1.8231897567384212

0.953137

1.724206185011289 × 10− 6

54.439

2

2.17915991

2.179227931099257

2.1772753199939645

0.817733

7.893665960448466 × 10− 4

57.834