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Convective Heat Transfer : Mathematical and Computational Modelling of Viscous Fluids and Porous Media - I. Pop

Convective Heat Transfer

Mathematical and Computational Modelling of Viscous Fluids and Porous Media

Hardcover

Published: 9th March 2001
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Interest in studying the phenomena of convective heat and mass transfer between an ambient fluid and a body which is immersed in it stems both from fundamental considerations, such as the development of better insights into the nature of the underlying physical processes which take place, and from practical considerations, such as the fact that these idealised configurations serve as a launching pad for
modelling the analogous transfer processes in more realistic physical systems. Such idealised geometries also provide a test ground for checking the validity of theoretical
analyses. Consequently, an immense research effort has been expended in exploring and understanding the convective heat and mass transfer processes between a fluid and submerged objects of various shapes. Among several geometries which have received considerable attention are plates, circular and elliptical cylinders, and spheres, although much information is also available for some other bodies, such as
corrugated surfaces or bodies of relatively complicated shapes.

The book is a unified progress report which captures the spirit of the work in progress in boundary-layer heat transfer research and also identifies potential difficulties and areas for further study. In addition, this work provides new material on convective heat and mass transfer, as well as a fresh look at basic methods in heat transfer. Extensive references are included in order to stimulate further studies of the problems considered. A state-of-the-art picture of boundary-layer heat transfer today is presented by listing and commenting also upon the most recent successful efforts and identifying the needs for further research.

Prefacep. xi
Acknowledgmentsp. xv
Nomenclaturep. xvii
Convective flows: viscous fluidsp. 1
Free convection boundary-layer flow over a vertical flat platep. 7
Introductionp. 7
Basic equationsp. 8
Similarity solutions for an impermeable flat plate with a variable wall temperaturep. 12
m [similar] 0p. 14
m [double greater-than sign] 1p. 14
m [ 0p. 15
Similarity solutions for an impermeable flat plate with a variable surface heat fluxp. 18
Flat plate with a variable wall temperature in a stratified environmentp. 22
Flat plate with a sinusoidal wall temperaturep. 30
Free convection boundary-layer flow over a vertical permeable flat platep. 36
Mixed convection boundary-layer flow along a vertical flat platep. 45
Introductionp. 45
Basic equationsp. 45
Flat plate with a constant wall temperaturep. 47
Flat plate with a constant surface heat fluxp. 50
Behaviour near separation in mixed convectionp. 55
Mixed convection along a flat plate with a constant wall temperature in parabolic coordinatesp. 59
Effect of Prandtl number on the mixed convection boundary-layer flow along a vertical plate with a constant wall temperaturep. 64
Mixed convection boundary-layer flow along a vertical flat plate with a variable heat flux for a large range of values of the Prandtl numberp. 69
Large values of Pr ([double greater-than sign] 1)p. 71
Small values of Pr ([double less-than sign] 1)p. 74
Three-dimensional mixed convection boundary-layer flow near a plane of symmetryp. 78
Free and mixed convection boundary-layer flow past inclined and horizontal platesp. 87
Introductionp. 87
Basic equationsp. 88
Free convection over an isothermal flat plate at small inclinationsp. 89
Small values of x ([double less-than sign] 1)p. 90
Large values of x ([double greater-than sign] 1) when [Lambda] ] 0p. 92
Free convection boundary-layer flow above an isothermal flat plate of arbitrary inclinationp. 96
Mixed convection boundary-layer flow from a horizontal flat platep. 101
Flat plate with a variable surface temperaturep. 102
Flat plate with constant surface temperature or constant surface heat fluxp. 105
Variable free stream velocity and variable wall temperature or variable wall heat fluxp. 108
Mixed convection boundary-layer flow along an inclined permeable plate with variable wall temperaturep. 111
Double-diffusive convectionp. 117
Introductionp. 117
Double-diffusive free convection boundary-layer flow over a vertical flat plate in the case of opposing buoyancy forcesp. 119
Free convection boundary-layer flow driven by catalytic surface reactionsp. 133
Two-dimensional stagnation pointp. 136
Vertical flat platep. 139
Three-dimensional stagnation pointp. 142
Convective flow in buoyant plumes and jetsp. 151
Introductionp. 151
Free convection in a wall plumep. 151
Outer regionp. 153
Inner regionp. 153
Inclined wall plumesp. 159
Free convection far downstream of a heated source on a solid wallp. 164
Inclined, downward-facing adiabatic wallp. 164
Vertical adiabatic wallp. 167
Laminar plane buoyant jetsp. 170
Free jetp. 173
Wall jetp. 175
Conjugate heat transfer over vertical and horizontal flat platesp. 179
Introductionp. 179
Conjugate free convection over a finite vertical flat platep. 181
Boundary-layer approximationp. 182
Full governing equationsp. 189
Conjugate mixed convection boundary-layer flow over a vertical flat platep. 199
Small values of x ([double less-than sign] 1)p. 200
Large values of x ([double greater-than sign] 1)p. 201
Numerical solutionp. 203
Conjugate free convection boundary-layer flow past a horizontal flat platep. 206
Free and mixed convection from cylindersp. 209
Introductionp. 209
Free convection from horizontal cylindersp. 209
Constant wall temperaturep. 210
Constant wall heat fluxp. 215
Conjugate free convection from a horizontal circular cylinderp. 223
Pr [double greater-than sign] 1p. 225
Pr [double less-than sign] 1p. 226
Mixed convection boundary-layer flow from a horizontal cylinderp. 230
Mixed convection boundary-layer flow along a heated longitudinal horizontal cylinderp. 239
Mixed convection boundary-layer flow along a vertical circular cylinderp. 244
Free and mixed convection boundary-layer flow over moving surfacesp. 253
Introductionp. 253
Free convection boundary-layer flow from a moving vertical sheetp. 254
Free convection boundary-layer flow from a horizontal moving sheetp. 261
Free convection boundary-layer flow from a moving vertical cylinderp. 267
Free convection boundary-layer flow due to a continuously moving vertical flat platep. 271
[lambda] ] 0p. 272
[lambda] ] 0p. 273
Mixed convection boundary-layer flow from a moving horizontal flat platep. 276
Unsteady free and mixed convectionp. 283
Introductionp. 283
Basic equationsp. 283
Transient free convection boundary-layer flow over a suddenly heated vertical platep. 287
m ] 1p. 289
m [ 1p. 290
Transient free convection boundary-layer flow over a suddenly cooled vertical platep. 295
[tau] [double less-than sign] 1p. 296
[tau] [double greater-than sign] 1p. 297
Transient free convection boundary-layer flow over a vertical flat plate at small and large Prandtl numbersp. 299
Pr [double less-than sign] 1p. 300
Pr [double greater-than sign] 1p. 304
Transient free convection boundary-layer flow over a vertical plate subjected to a sudden change in surface temperaturep. 306
Transient free convection from a horizontal circular cylinderp. 310
Transient mixed convection boundary-layer flow from a horizontal circular cylinderp. 320
Unsteady free convection boundary-layer flow past a spherep. 327
Free and mixed convection boundary-layer flow of non-Newtonian fluidsp. 333
Introductionp. 333
Free convection boundary-layer flow of power-law fluids over a vertical flat platep. 335
Free convection boundary-layer flow of non-Newtonian power-law fluids over a vertical wavy surfacep. 341
Free convection boundary-layer wall plume in non-Newtonian power-law fluidsp. 346
Mixed convection boundary-layer flow from a horizontal circular cylinder and a sphere in non-Newtonian power-law fluidsp. 351
Free convection boundary-layer flow of a micropolar fluid over a vertical flat platep. 356
n [not equal] 1/2p. 365
n = 1/2p. 367
Gravity-driven laminar film flow for non-Newtonian power-law fluids along a vertical wallp. 368
Boundary-layer regionp. 369
Fully developed flow regionp. 370
Fully viscous flow regionp. 370
Convective flows: porous mediap. 375
Free and mixed convection boundary-layer flow over vertical surfaces in porous mediap. 381
Introductionp. 381
Basic equationsp. 382
Similarity solutions of the boundary-layer equations for surfaces with a variable wall temperaturep. 385
Impermeable surfacep. 385
Permeable surfacep. 391
Similarity solutions of the boundary-layer equations for surfaces with variable wall heat fluxp. 393
Impermeable surfacep. 393
Permeable surfacep. 395
Combined heat and mass transfer by free convection over a vertical surfacep. 397
Free convection boundary-layer flow over reacting surfacesp. 401
Vertical flat platep. 402
Stagnation pointp. 405
Free convection boundary-layer flow over a vertical surface in a layered porous mediump. 409
Free convection boundary-layer flow over a vertical surface in a porous medium using a thermal non-equilibrium modelp. 415
Mixed convection boundary-layer flow along a vertical surfacep. 422
Constant wall temperaturep. 423
Constant wall heat fluxp. 426
Free and mixed convection past horizontal and inclined surfaces in porous mediap. 431
Introductionp. 431
Basic equationsp. 432
Free convection boundary-layer flow above a horizontal surfacep. 434
Mixed convection past a horizontal flat platep. 446
Finite flat platep. 446
Semi-infinite flat platep. 451
Free convection boundary-layer flow past an inclined surfacep. 453
Mixed convection boundary-layer flow along an inclined permeable surfacep. 456
Conjugate free and mixed convection over vertical surfaces in porous mediap. 461
Introductionp. 461
Conjugate free convection boundary-layer flow over a vertical surfacep. 462
Small values of x ([double less-than sign] 1)p. 463
Large values of x ([double greater-than sign] 1)p. 464
Numerical solutionp. 466
Free convection boundary-layer flow over a vertical surface with Newtonian heatingp. 468
Small values of x ([double less-than sign] 1)p. 469
Large values of x ([double greater-than sign] 1)p. 469
Numerical solutionp. 470
Conjugate free convection boundary-layer flow due to two porous media separated by a vertical wallp. 473
c [right arrow] 0 with k[superscript (1)] = O(1)p. 476
c [right arrow] 0 with k[superscript (1)]/c[superscript 2] = O(1)p. 478
Conjugate mixed convection boundary-layer flow along a vertical surfacep. 483
Small values of x ([double less-than sign] 1)p. 484
Large values of x ([double greater-than sign] 1)p. 486
Numerical solutionp. 487
Free and mixed convection from cylinders and spheres in porous mediap. 491
Introductionp. 491
Free convection from a horizontal circular cylinderp. 492
Free convection boundary-layer flow over a vertical cylinderp. 504
m ] 1p. 506
m [ 1p. 507
Mixed convection boundary-layer flow along a vertical cylinderp. 509
Small values of x ([double less-than sign] 1)p. 511
Horizontal boundary-layer flow past a partially heated vertical cylinderp. 514
Small values of z ([double less-than sign] 1)p. 517
Large values of z ([double greater-than sign] 1)p. 518
Large values of z ([double greater-than sign] 1) on [theta] = 0[degree]p. 519
Free convection past a heated spherep. 524
Large values of Ra ([double greater-than sign] 1)p. 525
Small values of Ra ([double less-than sign] 1)p. 528
Unsteady free and mixed convection in porous mediap. 533
Introductionp. 533
Transient free convection boundary-layer flow from a vertical flat plate suddenly heatedp. 534
Variable wall temperaturep. 542
Variable wall heat fluxp. 547
Transient free convection boundary-layer flow over a vertical plate subjected to a sudden change in the heat fluxp. 551
Transient mixed convection boundary-layer flow from a vertical flat plate suddenly heated or suddenly cooledp. 555
Initial unsteady solution at [xi] = 0p. 556
Small time solution ([tau] [double less-than sign] 1)p. 556
Transient free convection boundary-layer flow from a horizontal circular cylinderp. 560
Transient mixed convection from a horizontal circular cylinderp. 566
Aiding flowp. 569
Opposing flowp. 570
Transient free convection from a spherep. 574
Non-Darcy free and mixed convection boundary-layer flow in porous mediap. 585
Introductionp. 585
Similarity solutions for free convection boundary-layer flow over a non-isothermal body of arbitrary shape in a porous medium using the Darcy-Forchheimer modelp. 586
Non-Darcy mixed convection boundary-layer flow along a vertical flat plate in a porous mediump. 592
Transient non-Darcy free, forced and mixed convection boundary-layer flow over a vertical surface in a porous mediump. 597
Non-Darcy free convection boundary-layer flow past a horizontal surface in a porous mediump. 605
0 [less than or equal] m [ 0.5p. 607
m = 0.5p. 609
0.5 [ m [less than or equal] 2p. 610
Effects of heat dispersion on mixed convection boundary-layer flow past a horizontal surfacep. 612
Free convection boundary-layer flow from a point heat source embedded in a porous medium filled with a non-Newtonian power-law fluidp. 617
Bibliographyp. 623
Author indexp. 647
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780080438788
ISBN-10: 0080438784
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 668
Published: 9th March 2001
Publisher: Elsevier Science & Technology
Country of Publication: GB
Dimensions (cm): 25.4 x 17.78  x 3.66
Weight (kg): 1.37