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Introduction to Convective Heat Transfer
A Software-Based Approach Using Maple and MATLAB

Nevzat Onur (Author)

9781119766766, Wiley

Hardback, published 15 February 2024

800 pages
28.1 x 21.9 x 3.7 cm, 2.041 kg

INTRODUCTION TO CONVECTIVE HEAT TRANSFER

A highly practical intro to solving real-world convective heat transfer problems with MATLAB® and MAPLE

In Introduction to Convective Heat Transfer, accomplished professor and mechanical engineer Nevzat Onur delivers an insightful exploration of the physical mechanisms of convective heat transfer and an accessible treatment of how to build mathematical models of these physical processes.

Providing a new perspective on convective heat transfer, the book is comprised of twelve chapters, all of which contain numerous practical examples. The book emphasizes foundational concepts and is integrated with explanations of computational programs like MATLAB® and MAPLE to offer students a practical outlet for the concepts discussed within. The focus throughout is on practical, physical analysis rather than mathematical detail, which helps students learn to use the provided computational tools quickly and accurately.

In addition to a solutions manual for instructors and the aforementioned MAPLE and MATLAB® files, Introduction to Convective Heat Transfer includes:

  • A thorough introduction to the foundations of convective heat transfer, including coordinate systems, and continuum and thermodynamic equilibrium concepts
  • Practical explorations of the fundamental equations of laminar convective heat transfer, including integral formulation and differential formulation
  • Comprehensive discussions of the equations of incompressible external laminar boundary layers, including laminar flow forced convection and the thermal boundary layer concept
  • In-depth examinations of dimensional analysis, including the dimensions of physical quantities, dimensional homogeneity, and dimensionless numbers

Ideal for first-year graduates in mechanical, aerospace, and chemical engineering, Introduction to Convective Heat Transfer is also an indispensable resource for practicing engineers in academia and industry in the mechanical, aerospace, and chemical engineering fields.

Preface xv
About the Author xvii
About the Companion Website xviii

1 Foundations of Convective Heat Transfer 1
1.1 Fundamental Concepts 1
1.2 Coordinate Systems 1
1.3 The Continuum and Thermodynamic Equilibrium Concepts 2
1.4 Velocity and Acceleration 3
1.5 Description of a Fluid Motion: Eulerian and Lagrangian Coordinates and Substantial Derivative 4
1.6 Substantial Derivative 7
1.7 Conduction Heat Transfer 10
1.8 Fluid Flow and Heat Transfer 11
1.9 External Flow 11
1.10 Internal Flow 19
1.11 Thermal Radiation Heat Transfer 22
1.12 The Reynolds Transport Theorem: Time Rate of Change of an Extensive Property of a System Expressed in Terms of a Fixed Finite Control Volume 22

2 Fundamental Equations of Laminar Convective Heat Transfer 33
2.1 Introduction 33
2.2 Integral Formulation 33
2.3 Differential Formulation of Conservation Equations 38

3 Equations of Incompressible External Laminar Boundary Layers 69
3.1 Introduction 69
3.2 Laminar Momentum Transfer 69
3.3 The Momentum Boundary Layer Concept 70
3.4 The Thermal Boundary Layer Concept 76
3.5 Summary of Boundary Layer Equations of Steady Laminar Flow 82

4 Integral Methods in Convective Heat Transfer 85
4.1 Introduction 85
4.2 Conservation of Mass 85
4.3 The Momentum Integral Equation 87
4.4 Alternative Form of the Momentum Integral Equation 90
4.5 Momentum Integral Equation for Two-Dimensional Flow 90
4.6 Energy Integral Equation 91
4.7 Alternative Form of the Energy Integral Equation 94
4.8 Energy Integral Equation for Two-Dimensional Flow 94

5 Dimensional Analysis 97
5.1 Introduction 97
5.2 Dimensional Analysis 101
5.3 Nondimensionalization of Basic Differential Equations 116
5.4 Discussion 125
5.5 Dimensionless Numbers 125
5.6 Correlations of Experimental Data 128

6 One-Dimensional Solutions in Convective Heat Transfer 149
6.1 Introduction 149
6.2 Couette Flow 151
6.3 Poiseuille Flow 156
6.4 Rotating Flows 171

7 Laminar External Boundary Layers: Momentum and Heat Transfer 183
7.1 Introduction 183
7.2 Velocity Boundary Layer over a Semi-Infinite Flat Plate: Similarity Solution 183
7.3 Momentum Transfer over a Wedge (Falkner–Skan Wedge Flow): Similarity Solution 195
7.4 Application of Integral Methods to Momentum Transfer Problems 201
7.5 Viscous Incompressible Constant Property Parallel Flow over a Semi-Infinite Flat Plate: Similarity Solution for Uniform Wall Temperature Boundary Condition 212
7.6 Low-Prandtl-Number Viscous Incompressible Constant Property Parallel Flow over a Semi-Infinite Flat Plate: Similarity Solutions for Uniform Wall Temperature Boundary Condition 225
7.7 High-Prandtl-Number Viscous Incompressible Constant Property Parallel Flow over a Semi-Infinite Flat Plate: Similarity Solutions for Uniform Wall Temperature Boundary Condition 228
7.8 Viscous Incompressible Constant Property Parallel Flow over a Semi-Infinite Flat Plate: Similarity Solution for Uniform Heat Flux Boundary Condition 230
7.9 Viscous Incompressible Constant Property Parallel Flow over a Semi-Infinite Flat Plate: Similarity Solutions for Variable Wall Temperature Boundary Condition 237
7.10 Viscous Incompressible Constant Property Flow over a Wedge (Falkner–Skan Wedge Flow): Similarity Solution for Uniform Wall Temperature Boundary Condition 249
7.11 Effect of Property Variation 252
7.12 Application of Integral Methods to Heat Transfer Problems 253
7.13 Superposition Principle 265
7.14 Viscous Flow over a Flat Plate with Arbitrary Surface Temperature Distribution 284
7.15 Viscous Flow over a Flat Plate with Arbitrarily Specified Heat Flux 289
7.16 One-Parameter Integral Method for Incompressible Two-Dimensional Laminar Flow Heat Transfer: Variable U (x) and Constant Tw − T = const 293
7.17 One-Parameter Integral Method for Incompressible Laminar Flow Heat Transfer over a Constant Temperature of a Body of Revolution 295

8 Laminar Momentum and Heat Transfer in Channels 313
8.1 Introduction 313
8.2 Momentum Transfer 313
8.3 Thermal Considerations in Ducts 326
8.4 Heat Transfer in the Entrance Region of Ducts 335
8.5 Fully Developed Heat Transfer 372
8.6 Heat Transfer in the Thermal Entrance Region 387
8.7 Circular Pipe with Variable Surface Temperature Distribution in the Axial Direction 438
8.8 Circular Pipe with Variable Surface Heat Flux Distribution in the Axial Direction 443
8.9 Short Tubes 446
8.10 Effect of Property Variation 448
8.11 Regular Sturm-Liouville Systems 449

9 Foundations of Turbulent Flow 465
9.1 Introduction 465
9.2 The Reynolds Experiment 465
9.3 Nature of Turbulence 466
9.4 Time Averaging and Fluctuations 467
9.5 Isotropic Homogeneous Turbulence 470
9.6 Reynolds Averaging 470
9.7 Governing Equations of Incompressible Steady Mean Turbulent Flow 474
9.8 Turbulent Momentum Boundary Layer Equation 477
9.9 Turbulent Energy Equation 478
9.10 Turbulent Boundary Layer Energy Equation 479
9.11 Closure Problem of Turbulence 480\
9.12 Eddy Diffusivity of Momentum 481
9.13 Eddy Diffusivity of Heat 482
9.14 Transport Equations in the Cylindrical Coordinate System 483
9.15 Experimental Work on the Turbulent Mean Flow 484
9.16 Transition to Turbulent Flow 496

10 Turbulent External Boundary Layers: Momentum and Heat Transfer 507
10.1 Introduction 507
10.2 Turbulent Momentum Boundary Layer 507
10.3 Turbulence Models 508
10.4 Turbulent Flow over a Flat Plate with Constant Free-Stream Velocity: Couette Flow Approximation 510
10.5 The Universal Velocity Profile 511
10.6 Approximate Solution by the Integral Method for the Turbulent Momentum Boundary Layer over a Flat Plate 514
10.7 Laminar and Turbulent Boundary Layer 519
10.8 Other Eddy Diffusivity Momentum Models 521
10.9 Turbulent Heat Transfer 522
10.10 Analogy Between Momentum and Heat Transfer 529
10.11 Some Other Correlations for Turbulent Flow over a Flat Plate 539
10.12 Turbulent Flow Along a Semi-infinite Plate with Unheated Starting Length: Constant Temperature Solution
542
10.13 Flat Plate with Arbitrarily Specified Surface Temperature 550
10.14 Constant Free-Stream Velocity Flow Along a Flat Plate with Uniform Heat Flux 553
10.15 Turbulent Flow Along a Semi-Infinite Plate with Arbitrary Heat Flux Distribution 554
10.16 Turbulent Transition and Overall Heat Transfer 558
10.17 Property Variation 564

11 Turbulent Internal Flow: Momentum and Heat Transfer 573
11.1 Introduction 573
11.2 Momentum Transfer 573
11.3 Fully Developed Turbulent Heat Transfer 597
11.4 HFD Thermally Developing Turbulent Heat Transfer 618
11.5 Analogies for Internal Flow 629
11.6 Combined Entrance Region 641
11.7 Empirical and Theoretical Correlations for Turbulent Flow in Channels 642
11.8 Heat Transfer in Transitional Flow 652
11.9 Effect of Property Variation 660

12 Free Convection Heat Transfer 675
12.1 Introduction 675
12.2 Fundamental Equations and Dimensionless Parameters of Free Convection 675
12.3 Scaling in Natural Convection 679
12.4 Similarity Solution for Laminar Boundary Layer over a Semi-Infinite Vertical Flat Plate 681
12.5 Integral Method (von Karman–Pohlhausen Method): An Approximate Analysis of Laminar Free Convection on a Vertical Plate 695
12.6 Turbulent Free Convection Heat Transfer on a Vertical Plate 702
12.7 Empirical Correlations for Free Convection 704
12.8 Free Convection Within Parallel Plate Channels 725
12.9 Rectangular Enclosures 735
12.10 Horizontal Concentric Cylinders 743
12.11 Concentric Spheres 744
12.12 Spheres 744

Problems 745
References 752
Index 755

Subject Areas: Mechanical engineering & materials [TG]

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