Convective heat transfer : mathematical and computational modelling of viscous fluids and porous media / Ioan Pop, Derek B. Ingham.

Format:

Book

Author/Creator:

Pop, Ioan I.

Contributor:

Ingham, Derek B., 1942-

Language:

English

Subjects (All):

Heat--Convection.

Heat.

Physical Description:

xviii, 652 pages : illustrations ; 25 cm

Edition:

First edition.

Place of Publication:

Amsterdam ; New York : Pergamon, 2001.

Contents:

I Convective flows: viscous fluids 1

1 Free convection boundary-layer flow over a vertical flat plate 7

1.2 Basic equations 8

1.3 Similarity solutions for an impermeable flat plate with a variable wall temperature 12

1.3.1 m [similar] 0 14

1.3.2 m [double greater-than sign] 1 14

1.3.3 m < 0 15

1.4 Similarity solutions for an impermeable flat plate with a variable surface heat flux 18

1.5 Flat plate with a variable wall temperature in a stratified environment 22

1.6 Flat plate with a sinusoidal wall temperature 30

1.7 Free convection boundary-layer flow over a vertical permeable flat plate 36

2 Mixed convection boundary-layer flow along a vertical flat plate 45

2.2 Basic equations 45

2.2.1 Flat plate with a constant wall temperature 47

2.2.2 Flat plate with a constant surface heat flux 50

2.3 Behaviour near separation in mixed convection 55

2.4 Mixed convection along a flat plate with a constant wall temperature in parabolic coordinates 59

2.5 Effect of Prandtl number on the mixed convection boundary-layer flow along a vertical plate with a constant wall temperature 64

2.6 Mixed convection boundary-layer flow along a vertical flat plate with a variable heat flux for a large range of values of the Prandtl number 69

2.6.1 Large values of Pr ([double greater-than sign] 1) 71

2.6.2 Small values of Pr ([double less-than sign] 1) 74

2.7 Three-dimensional mixed convection boundary-layer flow near a plane of symmetry 78

3 Free and mixed convection boundary-layer flow past inclined and horizontal plates 87

3.2 Basic equations 88

3.3 Free convection over an isothermal flat plate at small inclinations 89

3.3.1 Small values of x ([double less-than sign] 1) 90

3.3.2 Large values of x ([double greater-than sign] 1) when [Lambda] > 0 92

3.4 Free convection boundary-layer flow above an isothermal flat plate of arbitrary inclination 96

3.5 Mixed convection boundary-layer flow from a horizontal flat plate 101

3.5.1 Flat plate with a variable surface temperature 102

3.5.2 Flat plate with constant surface temperature or constant surface heat flux 105

3.5.3 Variable free stream velocity and variable wall temperature or variable wall heat flux 108

3.6 Mixed convection boundary-layer flow along an inclined permeable plate with variable wall temperature 111

4 Double-diffusive convection 117

4.2 Double-diffusive free convection boundary-layer flow over a vertical flat plate in the case of opposing buoyancy forces 119

4.3 Free convection boundary-layer flow driven by catalytic surface reactions 133

4.3.1 Two-dimensional stagnation point 136

4.3.2 Vertical flat plate 139

4.3.3 Three-dimensional stagnation point 142

5 Convective flow in buoyant plumes and jets 151

5.2 Free convection in a wall plume 151

5.2.1 Outer region 153

5.2.2 Inner region 153

5.3 Inclined wall plumes 159

5.4 Free convection far downstream of a heated source on a solid wall 164

5.4.1 Inclined, downward-facing adiabatic wall 164

5.4.2 Vertical adiabatic wall 167

5.5 Laminar plane buoyant jets 170

5.5.1 Free jet 173

5.5.2 Wall jet 175

6 Conjugate heat transfer over vertical and horizontal flat plates 179

6.2 Conjugate free convection over a finite vertical flat plate 181

6.2.1 Boundary-layer approximation 182

6.2.2 Full governing equations 189

6.3 Conjugate mixed convection boundary-layer flow over a vertical flat plate 199

6.3.1 Small values of x ([double less-than sign] 1) 200

6.3.2 Large values of x ([double greater-than sign] 1) 201

6.3.3 Numerical solution 203

6.4 Conjugate free convection boundary-layer flow past a horizontal flat plate 206

7 Free and mixed convection from cylinders 209

7.2 Free convection from horizontal cylinders 209

7.2.1 Constant wall temperature 210

7.2.2 Constant wall heat flux 215

7.3 Conjugate free convection from a horizontal circular cylinder 223

7.3.1 Pr [double greater-than sign] 1 225

7.3.2 Pr [double less-than sign] 1 226

7.4 Mixed convection boundary-layer flow from a horizontal cylinder 230

7.5 Mixed convection boundary-layer flow along a heated longitudinal horizontal cylinder 239

7.6 Mixed convection boundary-layer flow along a vertical circular cylinder 244

8 Free and mixed convection boundary-layer flow over moving surfaces 253

8.2 Free convection boundary-layer flow from a moving vertical sheet 254

8.3 Free convection boundary-layer flow from a horizontal moving sheet 261

8.4 Free convection boundary-layer flow from a moving vertical cylinder 267

8.5 Free convection boundary-layer flow due to a continuously moving vertical flat plate 271

8.5.1 [lambda] > 0 272

8.5.2 [lambda] > 0 273

8.6 Mixed convection boundary-layer flow from a moving horizontal flat plate 276

9 Unsteady free and mixed convection 283

9.2 Basic equations 283

9.3 Transient free convection boundary-layer flow over a suddenly heated vertical plate 287

9.3.1 m > 1 289

9.3.2 m < 1 290

9.4 Transient free convection boundary-layer flow over a suddenly cooled vertical plate 295

9.4.1 [tau] [double less-than sign] 1 296

9.4.2 [tau] [double greater-than sign] 1 297

9.5 Transient free convection boundary-layer flow over a vertical flat plate at small and large Prandtl numbers 299

9.5.1 Pr [double less-than sign] 1 300

9.5.2 Pr [double greater-than sign] 1 304

9.6 Transient free convection boundary-layer flow over a vertical plate subjected to a sudden change in surface temperature 306

9.7 Transient free convection from a horizontal circular cylinder 310

9.8 Transient mixed convection boundary-layer flow from a horizontal circular cylinder 320

9.9 Unsteady free convection boundary-layer flow past a sphere 327

10 Free and mixed convection boundary-layer flow of non-Newtonian fluids 333

10.2 Free convection boundary-layer flow of power-law fluids over a vertical flat plate 335

10.3 Free convection boundary-layer flow of non-Newtonian power-law fluids over a vertical wavy surface 341

10.4 Free convection boundary-layer wall plume in non-Newtonian power-law fluids 346

10.5 Mixed convection boundary-layer flow from a horizontal circular cylinder and a sphere in non-Newtonian power-law fluids 351

10.6 Free convection boundary-layer flow of a micropolar fluid over a vertical flat plate 356

10.6.1 n [not equal] 1/2 365

10.6.2 n = 1/2 367

10.7 Gravity-driven laminar film flow for non-Newtonian power-law fluids along a vertical wall 368

10.7.1 Boundary-layer region 369

10.7.2 Fully developed flow region 370

10.7.3 Fully viscous flow region 370

II Convective flows: porous media 375

11 Free and mixed convection boundary-layer flow over vertical surfaces in porous media 381

11.2 Basic equations 382

11.3 Similarity solutions of the boundary-layer equations for surfaces with a variable wall temperature 385

11.3.1 Impermeable surface 385

11.3.2 Permeable surface 391

11.4 Similarity solutions of the boundary-layer equations for surfaces with variable wall heat flux 393

11.4.1 Impermeable surface 393

11.4.2 Permeable surface 395

11.5 Combined heat and mass transfer by free convection over a vertical surface 397

11.6 Free convection boundary-layer flow over reacting surfaces 401

11.6.1 Vertical flat plate 402

11.6.2 Stagnation point 405

11.7 Free convection boundary-layer flow over a vertical surface in a layered porous medium 409

11.8 Free convection boundary-layer flow over a vertical surface in a porous medium using a thermal non-equilibrium model 415

11.9 Mixed convection boundary-layer flow along a vertical surface 422

11.9.1 Constant wall temperature 423

11.9.2 Constant wall heat flux 426

12 Free and mixed convection past horizontal and inclined surfaces in porous media 431

12.2 Basic equations 432

12.3 Free convection boundary-layer flow above a horizontal surface 434

12.4 Mixed convection past a horizontal flat plate 446

12.4.1 Finite flat plate 446

12.4.2 Semi-infinite flat plate 451

12.5 Free convection boundary-layer flow past an inclined surface 453

12.6 Mixed convection boundary-layer flow along an inclined permeable surface 456

13 Conjugate free and mixed convection over vertical surfaces in porous media 461

13.2 Conjugate free convection boundary-layer flow over a vertical surface 462

13.2.1 Small values of x ([double less-than sign] 1) 463

13.2.2 Large values of x ([double greater-than sign] 1) 464

13.2.3 Numerical solution 466

13.3 Free convection boundary-layer flow over a vertical surface with Newtonian heating 468

13.3.1 Small values of x ([double less-than sign] 1) 469

13.3.2 Large values of x ([double greater-than sign] 1) 469

13.3.3 Numerical solution 470

13.4 Conjugate free convection boundary-layer flow due to two porous media separated by a vertical wall 473

13.4.1 c [right arrow] 0 with k[superscript (1)] = O(1) 476

13.4.2 c [right arrow] 0 with k[superscript (1)]/c[superscript 2] = O(1) 478

13.5 Conjugate mixed convection boundary-layer flow along a vertical surface 483

13.5.1 Small values of x ([double less-than sign] 1) 484

13.5.2 Large values of x ([double greater-than sign] 1) 486

13.5.3 Numerical solution 487

14 Free and mixed convection from cylinders and spheres in porous media 491

14.2 Free convection from a horizontal circular cylinder 492

14.3 Free convection boundary-layer flow over a vertical cylinder 504

14.3.1 m > 1 506

14.3.2 m < 1 507

14.4 Mixed convection boundary-layer flow along a vertical cylinder 509

14.4.1 Small values of x ([double less-than sign] 1) 511

14.5 Horizontal boundary-layer flow past a partially heated vertical cylinder 514

14.5.1 Small values of z ([double less-than sign] 1) 517

14.5.2 Large values of z ([double greater-than sign] 1) 518

14.5.3 Large values of z ([double greater-than sign] 1) on [theta] = 0[degree] 519

14.6 Free convection past a heated sphere 524

14.6.1 Large values of Ra ([double greater-than sign] 1) 525

14.6.2 Small values of Ra ([double less-than sign] 1) 528

15 Unsteady free and mixed convection in porous media 533

15.2 Transient free convection boundary-layer flow from a vertical flat plate suddenly heated 534

15.2.1 Variable wall temperature 542

15.2.2 Variable wall heat flux 547

15.3 Transient free convection boundary-layer flow over a vertical plate subjected to a sudden change in the heat flux 551

15.4 Transient mixed convection boundary-layer flow from a vertical flat plate suddenly heated or suddenly cooled 555

15.4.1 Initial unsteady solution at [xi] = 0 556

15.4.2 Small time solution ([tau] [double less-than sign] 1) 556

15.5 Transient free convection boundary-layer flow from a horizontal circular cylinder 560

15.6 Transient mixed convection from a horizontal circular cylinder 566

15.6.1 Aiding flow 569

15.6.2 Opposing flow 570

15.7 Transient free convection from a sphere 574

16 Non-Darcy free and mixed convection boundary-layer flow in porous media 585

16.2 Similarity solutions for free convection boundary-layer flow over a non-isothermal body of arbitrary shape in a porous medium using the Darcy-Forchheimer model 586

16.3 Non-Darcy mixed convection boundary-layer flow along a vertical flat plate in a porous medium 592

16.4 Transient non-Darcy free, forced and mixed convection boundary-layer flow over a vertical surface in a porous medium 597

16.5 Non-Darcy free convection boundary-layer flow past a horizontal surface in a porous medium 605

16.5.1 0 [less than or equal] m < 0.5 607

16.5.2 m = 0.5 609

16.5.3 0.5 < m [less than or equal] 2 610

16.6 Effects of heat dispersion on mixed convection boundary-layer flow past a horizontal surface 612

16.7 Free convection boundary-layer flow from a point heat source embedded in a porous medium filled with a non-Newtonian power-law fluid 617.

Notes:

Includes bibliographical references (pages [623]-646) and index.

ISBN:

0080438784

OCLC:

45799418