Skip to main content

Table 7 Values of skin friction, Nusselt number, and Sherwood number for different physical parameters with γ = β = 0.1, Nt = Nb = 0.1, S = 0.1, A = 0.01.

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

Pr

Le

ε 2

ε 1

θ r

Mn

− f″(1)

\( -{\overset{\frown }{h}}_f \)

\( {E}_{10}^f \)

− θ′(1)

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

\( {E}_{10}^{\theta} \)

− ϕ′(1)

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

\( {E}_{10}^{\phi} \)

CPU time

6.2

1

0.1

0.1

−10

0.5

6.93724

0.521876

1.85 × 10−5

2.56836

0.795575

3.93 × 10−6

−0.20702

0.816672

6.56 × 10−5

452.31

1

7.16163

0.529837

1.90 × 10−5

2.56728

0.795370

3.87 × 10−6

−0.20606

0.816681

6.49 × 10−5

417.61

1.5

7.54951

0.540578

2.20 × 10−5

2.56541

0.794987

3.77 × 10−6

−0.20439

0.816682

6.37 × 10−5

466.91

2

8.12409

0.551879

2.94 × 10−5

2.56262

0.794530

3.16 × 10−6

−0.20191

0.816656

6.21 × 10−5

415.70

2.5

8.92326

0.561811

4.11 × 10−5

2.55874

0.793334

3.42 × 10−6

−0.19845

0.816579

5.99 × 10−5

417.18

6.2

1

0.1

0.1

−10

0.1

3.23547

0.539759

3.88 × 10−6

2.61368

0.800566

4.60 × 10−6

−0.24769

0.820601

7.36 × 10−5

445.34

−5

6.37108

0.796477

1.40 × 10−4

2.57160

0.796836

4.08 × 10−6

−0.20998

0.817371

6.64 × 10−5

404.28

−1

3.66322

0.344926

4.32 × 10−2

2.59901

0.400879

1.80 × 10−4

−0.23434

0.538266

3.87 × 10−4

377.96

6.2

1

0.1

0

−10

0.1

6.88538

0.83426

2.12 × 10−6

4.37052

0.753998

2.89 × 10−6

−0.05358

0.838724

5.27 × 10−6

413.24

0.2

6.84778

0.563282

1.20 × 10−5

3.29095

0.747359

7.96 × 10−5

−0.38818

0.772511

2.83 × 10−4

416.86

0.4

6.80107

0.690673

6.36 × 10−4

2.76736

0.689505

4.11 × 10−4

−0.84408

0.694220

7.80 × 10−4

416.80

0.8

6.66595

0.605364

0.602742

2.40018

0.386541

4.20245

1.00077

0.003287

1.63 × 10−4

536.38

6.2

1

0

0.1

−10

0.1

6.87282

0.817156

2.97 × 10−5

2.53070

0.787063

1.65 × 10−6

−0.22122

0.827749

4.33 × 10−5

407.73

0.2

6.86217

0.528059

1.83 × 10−5

2.60736

0.795988

8.99 × 10−6

−0.19379

0.805701

1.08 × 10−4

461.73

0.4

6.85327

0.780916

1.10 × 10−4

2.68649

0.785656

3.00 × 10−5

−0.16792

0.782738

3.30 × 10−4

384.13

0.8

6.83347

0.580338

2.35 × 10−5

2.85208

0.739950

1.48 × 10−4

−0.12115

0.716450

3.26 × 10−3

416.60

6.2

1

0.1

0.1

−10

0.1

6.86664

0.519571

1.84 × 10−5

2.56923

0.795649

3.95 × 10−6

−0.20845

0.816398

6.51 × 10−5

429.74

5.0

6.86634

0.522037

1.71 × 10−5

2.57158

0.795701

3.95 × 10−6

−0.21346

0.815193

6.23 × 10−5

444.22

10.0

6.86703

0.806771

4.15 × 10−5

2.57445

0.795678

3.96 × 10−6

−0.21969

0.813673

5.88 × 10−5

435.78

25.0

6.86487

0.535357

1.18 × 10−5

2.58273

0.795091

4.05 × 10−6

−0.23816

0.809001

4.96 × 10−5

436.47

0.72

1

0.1

0.1

−10

0.1

7.02711

0.910736

4.87 × 10−15

1.43830

0.913630

2.82 × 10−16

0.86420

0.918855

2.80 × 10−14

380.47

1.09

7.01781

0.896013

8.61 × 10−14

1.49661

0.908669

2.18 × 10−14

0.80733

0.905835

6.45 × 10−13

391.07

2.0

6.99425

0.869605

2.11 × 10−11

1.64904

0.830756

2.05 × 10−11

0.65997

0.877078

1.20 × 10−10

848.27

5.09

6.90493

0.826361

2.89 × 10−6

2.28346

0.796751

2.40 × 10−7

0.05966

0.832669

4.16 × 10−6

552.53

6.2

6.86798

0.809634

4.61 × 10−5

2.56870

0.795627

3.95 × 10−6

−0.20732

0.816668

6.58 × 10−5

534.81