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Table 9 Thermophysical properties of Al 2 O 3  + H 2 O nanofluid for different wall temperatures and concentration

From: Natural convection heat transfer of nanofluids along a vertical plate embedded in porous medium

 

Properties

Values

At T = 324 K, d p  = 10 nm, ε = 0.72

Φ

0

0.01

0.02

0.03

0.04

0.05

0.06

0.09

 

ρ (103)

0.998

1.0268

1.0556

1.0845

1.1133

1.1421

1.1709

1.2574

 

βnf (103)

0.214

0.2062

0.1989

0.1919

0.1853

0.179

0.1731

0.1568

 

Cpnf (103)

4.187

4.1871

4.1872

4.1873

4.1874

4.1875

4.1876

4.1878

 

μ nf

0.0007

0.0007

0.0008

0.0009

0.0009

0.001

0.0011

0.0016

 

k nf

0.6288

0.7281

0.7857

0.8339

0.8768

0.9161

0.9529

1.0523

 

k eff

0.8728

1.0106

1.0905

1.1573

1.2167

1.2713

1.3222

1.46

 

αeff (10−6)

0.2089

0.235

0.2467

0.2548

0.261

0.2658

0.2697

0.2773

 

Preff

3.358

3.0766

3.0441

3.0801

3.1656

3.2973

3.4795

4.4709

 

RaKeff

172.7511

143.4813

126.9420

113.4505

101.6234

90.8972

80.8972

53.9553

 

Σ

0.9505

0.944

0.9379

0.9321

0.9266

0.9214

0.9164

0.9029

At T = 317, d p  = 10 nm

Φ

0

0.01

0.02

0.03

0.04

0.05

0.06

0.09

 

k nf

0.6288

0.7079

0.7538

0.7922

0.8264

0.8577

0.887

0.9662

 

k eff

0.8728

0.9826

1.0462

1.0995

1.1468

1.1903

1.2309

1.3407

 

αeff (10−6)

0.2089

0.2285

0.2367

0.2421

0.246

0.2489

0.251

0.2546

 

Preff

3.358

3.1643

3.1728

3.242

3.3584

3.5216

3.7376

4.8687

 

RaKeff

133.7428

114.2469

102.4320

92.4494

83.4695

75.1410

67.2753

45.4884

At T = 310 K, d p  = 10 nm

Φ

0

0.01

0.02

0.03

0.04

0.05

0.06

0.09

 

k nf

0.6288

0.6915

0.7279

0.7584

0.7854

0.8103

0.8335

0.8963

 

k eff

0.8728

0.9598

1.0103

1.0525

1.0901

1.1245

1.1567

1.2438

 

αeff (10−6)

0.2089

0.2232

0.2286

0.2318

0.2338

0.2351

0.2359

0.2362

 

Preff

3.358

3.2393

3.2857

3.3867

3.5334

3.7276

3.9773

5.2482

 

RaKeff

94.7345

82.8428

75.1371

68.4071

62.2040

56.3387

50.7101

34.7324

At T = 303, d p  = 10 nm

Φ

0

0.01

0.02

0.03

0.04

0.05

0.06

0.09

 

k nf

0.6288

0.6783

0.707

0.731

0.7523

0.7719

0.7902

0.8398

 

k eff

0.8728

0.9414

0.9812

1.0145

1.0441

1.0713

1.0967

1.1654

 

αeff (10−6)

0.2089

0.219

0.222

0.2234

0.224

0.224

0.2237

0.2213

 

Preff

3.358

3.3026

3.383

3.5135

3.6888

3.9128

4.195

5.6014

 

RaKeff

55.7261

49.6834

45.5077

41.7463

38.2001

34.7866

31.4619

21.8057

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