Cover image for Understanding aerodynamics : arguing from the real physics
Title:
Understanding aerodynamics : arguing from the real physics
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Publication Information:
Chichester, West Sussex, United Kingdom : Wiley, a John Wiley & Sons, Ltd., Publication, 2013
Physical Description:
xxv, 550 p. : ill. ; 25 cm.
ISBN:
9781119967514
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30000010306186 TL570 M35 2013 Open Access Book Book
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30000010306874 TL570 M35 2013 Open Access Book Book
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Summary

Summary

Much-needed, fresh approach that brings a greater insight into the physical understanding of aerodynamics

Based on the author's decades of industrial experience with Boeing, this book helps students and practicing engineers to gain a greater physical understanding of aerodynamics. Relying on clear physical arguments and examples, Mclean provides a much-needed, fresh approach to this sometimes contentious subject without shying away from addressing "real" aerodynamic situations as opposed to the oversimplified ones frequently used for mathematical convenience. Motivated by the belief that engineering practice is enhanced in the long run by a robust understanding of the basics as well as real cause-and-effect relationships that lie behind the theory, he provides intuitive physical interpretations and explanations, debunking commonly-held misconceptions and misinterpretations, and building upon the contrasts provided by wrong explanations to strengthen understanding of the right ones.

Provides a refreshing view of aerodynamics that is based on the author's decades of industrial experience yet is always tied to basic fundamentals. Provides intuitive physical interpretations and explanations, debunking commonly-held misconceptions and misinterpretations Offers new insights to some familiar topics, for example, what the Biot-Savart law really means and why it causes so much confusion, what "Reynolds number" and "incompressible flow" really mean, and a real physical explanation for how an airfoil produces lift. Addresses "real" aerodynamic situations as opposed to the oversimplified ones frequently used for mathematical convenience, and omits mathematical details whenever the physical understanding can be conveyed without them.


Author Notes

Doug Mclean, Boeing Commercial Airplanes, USA
Doug McLean is a Boeing Technical Fellow in the Enabling Technology and Research unit within Aerodynamics Engineering at Boeing Commercial Airplanes. He received a BA in physics from the University of California at Riverside in 1965 and a PhD in aeronautical engineering from Princeton University in 1970. He joined the Boeing Commercial Airplane Group in 1974 and has worked there ever since on a range of problems, both computational and experimental, in the areas of viscous flow, drag reduction, and aerodynamic design. Computer programs he developed for the calculation of three-dimensional boundary layers and swept shock/boundary-layer interactions were in use by wing-design groups at Boeing for many years.


Reviews 1

Choice Review

To make the best use of this graduate-level book, students should have taken a couple of fluid dynamics courses and one in aerodynamics, and should have gained exposure to computational fluid dynamical methods in these courses. McLean (ret., Boeing) is an aeronautical engineer with extensive experience in the field. His objective is to provide the student and professional aerodynamicist a deeper physical understanding of the complex and sometimes confusing phenomena involved in two- and three-dimensional flows, which often involve the generation of patterns of vortices and turbulence. However, in order to follow the author's physical reasoning, readers must thoroughly understand the Navier-Stokes equations and their mathematical and physical consequences. The chapters titled "Drag and Propulsion," "Lift and Wings in 3D at Subsonic Speeds," and "Modeling Aerodynamic Flows in Computational Fluid Dynamics" are very good. This is a sophisticated book for people immersed in the study of fluid dynamics and aerodynamics; it will give them in-depth knowledge of both the physical phenomena and the mathematical equations that are used to describe and predict these phenomena. Summing Up: Recommended. Graduate students in aerospace engineering, researchers/faculty, and aircraft design professionals. A. M. Strauss Vanderbilt University


Table of Contents

Forewordp. xi
Series Prefacep. xiii
Prefacep. xv
List of Symbolsp. xix
1 Introduction to the Conceptual Landscapep. 1
2 From Elementary Particles to Aerodynamic Flowsp. 5
3 Continuum Fluid Mechanics and the Navier-Stokes Equationsp. 13
3.1 The Continuum Formulation and Its Range of Validityp. 13
3.2 Mathematical Formalismp. 16
3.3 Kinematics: Streamlines, Streaklines, Timelines, and Vorticityp. 18
3.3.1 Streamlines and Streaklinesp. 18
3.3.2 Streamtubes, Stream Surfaces, and the Stream Functionp. 19
3.3.3 Timelinesp. 22
3.3.4 The Divergence of the Velocity and Green's Theoremp. 23
3.3.5 Vorticity and Circulationp. 24
3.3.6 The Velocity Potential in Irrotational Flowp. 26
3.3.7 Concepts that Arise in Describing the Vorticity Fieldp. 26
3.3.8 Velocity Fields Associated with Concentrations of Vorticityp. 29
3.3.9 The Biot-Savart Law and the "Induction" Fallacyp. 31
3.4 The Equations of Motion and their Physical Meaningp. 33
3.4.1 Continuity of the Flow and Conservation of Massp. 34
3.4.2 Forces on Fluid Parcels and Conservation of Momentump. 35
3.4.3 Conservation of Energyp. 36
3.4.4 Constitutive Relations and Boundary Conditionsp. 37
3.4.5 Mathematical Nature of the Equationsp. 37
3.4.6 The Physics as Viewed in the Eulerian Framep. 38
3.4.7 The Pseudo-Lagrangian Viewpointp. 40
3.5 Cause and Effect, and the Problem of Predictionp. 40
3.6 The Effects of Viscosityp. 43
3.7 Turbulence, Reynolds Averaging, and Turbulence Modelingp. 48
3.8 Important Dynamical Relationshipsp. 55
3.8.1 Galilean Invariance, or Independence of Reference Framep. 55
3.8.2 Circulation Preservation and the Persistence of Irrotationalityp. 56
3.8.3 Behavior of Vortex Tubes in Inviscid and Viscous Flowsp. 57
3.8.4 Bernoulli Equations and Stagnation Conditionsp. 58
3.8.5 Crocco's Theoremp. 60
3.9 Dynamic Similarityp. 60
3.9.1 Compressibility Effects and the Mach Numberp. 63
3.9.2 Viscous Effects and the Reynolds Numberp. 63
3.9.3 Scaling of Pressure Forces: the Dynamic Pressurep. 64
3.9.4 Consequences of Failing to Match All of the Requirements for Similarityp. 65
3.10 "Incompressible" Flow and Potential Flowp. 66
3.11 Compressible Flow and Shocksp. 70
3.11.1 Steady ID Isentropic Flow Theoryp. 71
3.11.2 Relations for Normal and Oblique Shock Wavesp. 74
4 Boundary Layersp. 79
4.1 Physical Aspects of Boundary-Layer Flowsp. 80
4.1.1 The Basic Sequence: Attachment, Transition, Separationp. 80
4.1.2 General Development of the Boundary-Layer Flowfieldp. 82
4.1.3 Boundary-Layer Displacement Effectp. 90
4.1.4 Separation from a Smooth Wallp. 93
4.2 Boundary-Layer Theoryp. 99
4.2.1 The Boundary-Layer Equationsp. 100
4.2.2 Integrated Momentum Balance in a Boundary Layerp. 108
4.2.3 The Displacement Effect and Matching with the Outer Flowp. 110
4.2.4 The Vorticity "Budget" in a 2D Incompressible Boundary Layerp. 113
4.2.5 Situations That Violate the Assumptions of Boundary-Layer Theoryp. 114
4.2.6 Summary of Lessons from Boundary-Layer Theoryp. 117
4.3 Flat-Plate Boundary Layers and Other Simplified Casesp. 117
4.3.1 Flat-Plate Flowp. 117
4.3.2 2D Boundary-Layer Flows with Similarityp. 121
4.3.3 Axisymmetric Flowp. 123
4.3.4 Plane-of-Symmetry and Attachment-Line Boundary Layersp. 125
4.3.5 Simplifying the Effects of Sweep and Taper in 3Dp. 128
4.4 Transition and Turbulencep. 130
4.4.1 Boundary-Layer Transitionp. 131
4.4.2 Turbulent Boundary Layersp. 138
4.5 Control and Prevention of Flow Separationp. 150
4.5.1 Body Shaping and Pressure Distributionp. 150
4.5.2 Vortex Generatorsp. 150
4.5.3 Steady Tangential Blowing through a Slotp. 155
4.5.4 Active Unsteady Blowingp. 157
4.5.5 Suctionp. 157
4.6 Heat Transfer and Compressibilityp. 158
4.6.1 Heat Transfer, Compressibility, and the Boundary-Layer Temperature Fieldp. 158
4.6.2 The Thermal Energy Equation and the Prandtl Numberp. 159
4.6.3 The Wall Temperature and Other Relations for an Adiabatic Wallp. 159
4.7 Effects of Surface Roughnessp. 162
5 General Features of Flows around Bodiesp. 163
5.1 The Obstacle Effectp. 164
5.2 Basic Topology of Flow Attachment and Separationp. 168
5.2.1 Attachment and Separation in 2Dp. 169
5.2.2 Attachment and Separation in 3Dp. 171
5.2.3 Streamline Topology on Surfaces and in Cross Sectionsp. 176
5.3 Wakesp. 186
5.4 Integrated Forces: Lift and Dragp. 189
6 Drag and Propulsionp. 191
6.1 Basic Physics and Flowfield Manifestations of Drag and Thrustp. 192
6.1.1 Basic Physical Effects of Viscosity yp. 193
6.1.2 The Role of Turbulencep. 193
6.1.3 Direct and Indirect Contributions to the Drag Force on the Bodyp. 194
6.1.4 Determining Drag from the Flowfield: Application of Conservation Lawsp. 196
6.1.5 Examples of Flowfield Manifestations of Drag in Simple 2D Flowsp. 204
6.1.6 Pressure Drag of Streamlined and Bluff Bodies Ap. 207
6.1.7 Questionable Drag Categories: Parasite Drag, Base Drag, and Slot Dragp. 210
6.1.8 Effects of Distributed Surface Roughness on Turbulent Skin Frictionp. 212
6.1.9 Interference Dragp. 222
6.1.10 Some Basic Physics of Propulsionp. 225
6.2 Drag Estimationp. 241
6.2.1 Empirical Correlationsp. 242
6.2.2 Effects of Surface Roughness on Turbulent Skin Frictionp. 243
6.2.3 CFD Prediction of Dragp. 250
6.3 Drag Reductionp. 250
6.3.1 Reducing Drag by Maintaining a Run of Laminar Flowp. 251
6.3.2 Reduction of Turbulent Skin Frictionp. 251
7 Lift and Airfoils in 2D at Subsonic Speedsp. 259
7.1 Mathematical Prediction of Lift in 2Dp. 260
7.2 Lift in Terms of Circulation and Bound Vorticityp. 265
7.2.1 The Classical Argument for the Origin of the Bound Vorticityp. 267
7.3 Physical Explanations of Lift in 2Dp. 269
7.3.1 Past Explanations and their Strengths and Weaknessesp. 269
7.3.2 Desired Attributes of a More Satisfactory Explanationp. 284
7.3.3 A Basic Explanation of Lift on an Airfoil, Accessible to a Nontechnical Audiencep. 286
7.3.4 More Physical Details on Lift in 2D, for the Technically Inclinedp. 302
7.4 Airfoilsp. 307
7.4.1 Pressure Distributions and Integrated Forces at Low Math Numbersp. 307
7.4.2 Profile Drag and the Drag Polarp. 316
7.4.3 Maximum Lift and Boundary-Layer Separation on Single-Element Airfoilsp. 319
7.4.4 Multielement Airfoils and the Slot Effectp. 329
7.4.5 Cascadesp. 335
7.4.6 Low-Drag Airfoils with Laminar Flowp. 338
7.4.7 Low-Reynolds-Number Airfoilsp. 341
7.4.8 Airfoils in Transonic Flowp. 342
7.4.9 Airfoils in Ground Effectp. 350
7.4.10 Airfoil Designp. 352
7.4.11 Issues that Arise in Defining Airfoil Shapesp. 354
8 Lift and Wings in 3D at Subsonic Speedsp. 359
8.1 The Flowfield around a 3D Wingp. 359
8.1.1 General Characteristics of the Velocity Fieldp. 359
8.1.2 The Vortex Wakep. 362
8.1.3 The Pressure Field around a 3D Wingp. 371
8.1.4 Explanations for the Flowfieldp. 371
8.1.5 Vortex Shedding from Edges Other Than the Trailing Edgep. 375
8.2 Distribution of Lift on a 3D Wingp. 376
8.2.1 Basic and Additional Spanloadsp. 376
8.2.2 Linearized Lifting-Surface Theoryp. 379
8.2.3 Lifting-Line Theoryp. 380
8.2.4 3D Lift in Ground Effectp. 382
8.2.5 Maximum Lift, as Limited by 3D Effectsp. 384
8.3 Induced Dragp. 385
8.3.1 Basic Scaling of Induced Dragp. 385
8.3.2 Induced Drag from a Farfield Momentum Balancep. 386
8.3.3 Induced Drag in Terms of Kinetic Energy and an Idealized Rolled-Up Vortex Wakep. 389
8.3.4 Induced Drag from the Loading on the Wing Itself: Treffiz-Plane Theoryp. 391
8.3.5 Ideal (Minimum) Induced-Drag Theoryp. 394
8.3.6 Span-Efficiency Factorsp. 396
8.3.7 The Induced-Drag Polarp. 397
8.3.8 The Sin-Series Spanloadsp. 398
8.3.9 The Reduction of Induced Drag in Ground Effectp. 401
8.3.10 The Effect of a Fuselage on Induced Dragp. 402
8.3.11 Effects of a Canard or Aft Tail on Induced Dragp. 404
8.3.12 Biplane Dragp. 409
8.4 Wingtip Devicesp. 411
8.4.1 Myths Regarding the Vortex Wake, and Some Questionable Ideas for Wingtip Devicesp. 411
8.4.2 The Facts of Life Regarding Induced Drag and Induced-Drag Reductionp. 414
8.4.3 Milestones in the Development of Theory and Practicep. 420
8.4.4 Wingtip Device Conceptsp. 422
8.4.5 Effectiveness of Various Device Configurationsp. 423
8.5 Manifestations of Lift in the Atmosphere at Largep. 427
8.5.1 The Net Vertical Momentum Imparted to the Atmospherep. 427
8.5.2 The Pressure Far above and below the Airplanep. 429
8.5.3 Downwash in the Treffiz Plane and Other Momentum-Conservation Issuesp. 431
8.5.4 Sears's Incorrect Analysis of the Integrated Pressure Far Downstreamp. 435
8.5.5 The Real Flowfield Far Downstream of the Airplanep. 436
8.6 Effects of Wing Sweepp. 444
8.6.1 Simple Sweep Theoryp. 444
8.6.2 Boundary Layers on Swept Wingsp. 449
8.6.3 Shock/Boundary-Layer Interaction on Swept Wingsp. 464
8.6.4 Laminar-to-Turbulent Transition on Swept Wingsp. 465
8.6.5 Relating a Swept, Tapered Wing to a 2D Airfoilp. 468
8.6.6 Tailoring of the Inboard Pail of a Swept Wingp. 469
9 Theoretical Idealizations Revisitedp. 471
9.1 Approximations Grouped According to how the Equations were Modifiedp. 471
9.1.1 Reduced Temporal and/or Spatial Resolutionp. 472
9.1.2 Simplified Theories Based on Neglecting Something Smallp. 472
9.1.3 Reductions in Dimensionsp. 472
9.1.4 Simplified Theories Based on Ad hoc Flow Modelsp. 472
9.1.5 Qualitative Anomalies and Other Consequences of Approximationsp. 481
9.2 Some Tools of MFD (Mental Fluid Dynamics)p. 482
9.2.7 Simple Conceptual Models for Thinking about Velocity Fieldsp. 482
9.2.2 Thinking about Viscous and Shock Dragp. 485
9.2.3 Thinking about Induced Dragp. 486
9.2.4 A Catalog of Fallaciesp. 487
10 Modeling Aerodynamic Flows in Computational Fluid Dynamicsp. 491
10.1 Basic Definitionsp. 493
10.2 The Major Classes of CFD Codes and Their Applicationsp. 493
10.2.1 Navier-Stokes Methodsp. 493
10.2.2 Coupled Viscous/Inviscid Methodsp. 497
10.2.3 Inviscid Methodsp. 498
10.2.4 Standalone Boundary-Layer Codesp. 501
10.3 Basic Characteristics of Numerical Solution Schemesp. 501
10.3.1 Discretizationp. 501
10.3.2 Spatial Field Gridsp. 502
10.3.3 Grid Resolution and Grid Convergencep. 506
10.3.4 Solving the Equations, and Iterative Convergencep. 507
10.4 Physical Modeling in CFDp. 508
10.4.1 Compressibility and Shocksp. 508
10.4.2 Viscous Effects and Turbulencep. 510
10.4.3 Separated Shear Layers and Vortex Wakesp. 511
10.4.4 The Farfieldp. 513
10.4.5 Predicting Dragp. 514
10.4.6 Propulsion Effectsp. 515
10.5 CFD Validation?p. 515
10.6 Integrated Forces and the Components of Dragp. 516
10.7 Solution Visualizationp. 517
10.8 Things a User Should Know about a CFD Code before Running itp. 524
Referencesp. 527
Indexp. 539