{"product_id":"introductory-fluid-mechanics-for-physicists-and-mathematicians-isbn-9781119944850","title":"Introductory Fluid Mechanics for Physicists and Mathematicians","description":"\u003cp\u003eThis textbook presents essential methodology for physicists of the theory and applications of fluid mechanics within a single volume.  Building steadily through a syllabus, it will be relevant to almost all undergraduate physics degrees which include an option on hydrodynamics, or a course in which hydrodynamics figures prominently.\u003c\/p\u003e \u003cp\u003ePreface xvii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Fluids as a State of Matter 1\u003c\/p\u003e \u003cp\u003e1.2 The Fundamental Equations for Flow of a Dissipationless Fluid 3\u003c\/p\u003e \u003cp\u003e1.3 Lagrangian Frame 4\u003c\/p\u003e \u003cp\u003e1.4 Eulerian Frame 8\u003c\/p\u003e \u003cp\u003e1.5 Hydrostatics 12\u003c\/p\u003e \u003cp\u003e1.6 Streamlines 16\u003c\/p\u003e \u003cp\u003e1.7 Bernoulli’s Equation: Weak Form 16\u003c\/p\u003e \u003cp\u003e1.8 Polytropic Gases 17\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Flow of Ideal Fluids 25\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 25\u003c\/p\u003e \u003cp\u003e2.2 Kelvin’s Theorem 26\u003c\/p\u003e \u003cp\u003e2.3 Irrotational Flow 31\u003c\/p\u003e \u003cp\u003e2.4 Irrotational Flow–Velocity Potential and the Strong Form of Bernoulli’s Equation 32\u003c\/p\u003e \u003cp\u003e2.5 Incompressible Flow–Streamfunction 33\u003c\/p\u003e \u003cp\u003e2.6 Irrotational Incompressible Flow 35\u003c\/p\u003e \u003cp\u003e2.7 Induced Velocity 38\u003c\/p\u003e \u003cp\u003e2.8 Sources and Sinks 42\u003c\/p\u003e \u003cp\u003e2.9 Two-Dimensional Flow 51\u003c\/p\u003e \u003cp\u003e2.10 Applications of Analytic Functions in Fluid Mechanics 52\u003c\/p\u003e \u003cp\u003e2.11 Force on a Body in Steady Two-Dimensional Incompressible Ideal Flow 66\u003c\/p\u003e \u003cp\u003e2.12 Conformal Transforms 69\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Viscous Fluids 75\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Basic Concept of Viscosity 75\u003c\/p\u003e \u003cp\u003e3.2 Differential Motion of a Fluid Element 76\u003c\/p\u003e \u003cp\u003e3.3 Strain Rate 76\u003c\/p\u003e \u003cp\u003e3.4 Stress 77\u003c\/p\u003e \u003cp\u003e3.5 Viscous Stress 78\u003c\/p\u003e \u003cp\u003e3.6 Incompressible Flow–Navier–Stokes Equation 80\u003c\/p\u003e \u003cp\u003e3.7 Stokes’ or Creeping Flow 82\u003c\/p\u003e \u003cp\u003e3.8 Dimensionless Analysis and Similarity 86\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Waves and Instabilities in Fluids 93\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 93\u003c\/p\u003e \u003cp\u003e4.2 Small-Amplitude Surface Waves 94\u003c\/p\u003e \u003cp\u003e4.3 Surface Waves in Infinite fluids 102\u003c\/p\u003e \u003cp\u003e4.4 Surface Waves with Velocity Shear Across a Contact Discontinuity 104\u003c\/p\u003e \u003cp\u003e4.5 Shallow Water Waves 106\u003c\/p\u003e \u003cp\u003e4.6 Waves in a Stratified Fluid 108\u003c\/p\u003e \u003cp\u003e4.7 Stability of Laminar Shear Flow 112\u003c\/p\u003e \u003cp\u003e4.8 Nonlinear Instability 115\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Turbulent Flow 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 117\u003c\/p\u003e \u003cp\u003e5.2 Fully Developed Turbulence 121\u003c\/p\u003e \u003cp\u003e5.3 Turbulent Stress–Reynolds Stresses 126\u003c\/p\u003e \u003cp\u003e5.4 Similarity Model of Shear in a Turbulent Flow–von Karman’s Hypothesis 127\u003c\/p\u003e \u003cp\u003e5.5 Velocity Profile near a Wall in Fully Developed Turbulence–Law of the Wall 127\u003c\/p\u003e \u003cp\u003e5.6 Turbulent Flow Through a Duct 129\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Boundary Layer Flow 139\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 139\u003c\/p\u003e \u003cp\u003e6.2 The Laminar Boundary Layer in Steady Incompressible Two-Dimensional Flow–Prandtl’s Approximation 141\u003c\/p\u003e \u003cp\u003e6.3 Laminar Boundary Layer over an Infinite Flat Plate–Blasius’s Solution 144\u003c\/p\u003e \u003cp\u003e6.4 Laminar Boundary Layer–von Karman’s Momentum Integral Method 146\u003c\/p\u003e \u003cp\u003e6.4.1 Application to Boundary Layers with an Applied Pressure Gradient 149\u003c\/p\u003e \u003cp\u003e6.5 Boundary Layer Instability and the Onset of Turbulence–Tollmein–Schlichting Instability 151\u003c\/p\u003e \u003cp\u003e6.6 Turbulent Boundary Layer on a Flat Smooth Plate 152\u003c\/p\u003e \u003cp\u003e6.7 Boundary Layer Separation 156\u003c\/p\u003e \u003cp\u003e6.8 Drag 161\u003c\/p\u003e \u003cp\u003e6.9 Laminar Wake 163\u003c\/p\u003e \u003cp\u003e6.10 Separation in the Turbulent Boundary Layer 166\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Convective Heat Transfer 175\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 175\u003c\/p\u003e \u003cp\u003e7.2 Forced Convection 176\u003c\/p\u003e \u003cp\u003e7.3 Heat Transfer in a Laminar Boundary Layer 189\u003c\/p\u003e \u003cp\u003e7.4 Heat Transfer in a Turbulent Boundary Layer on a Smooth Flat Plate 193\u003c\/p\u003e \u003cp\u003e7.5 Free or Natural Convection 194\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Compressible Flow and Sound Waves 209\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 209\u003c\/p\u003e \u003cp\u003e8.2 Propagation of Small Disturbances 211\u003c\/p\u003e \u003cp\u003e8.3 Reflection and Transmission of a Sound Wave at an Interface 214\u003c\/p\u003e \u003cp\u003e8.4 Spherical Sound Waves 215\u003c\/p\u003e \u003cp\u003e8.5 Cylindrical Sound Waves 217\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Characteristics and Rarefactions 219\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Mach Lines and Characteristics 219\u003c\/p\u003e \u003cp\u003e9.2 Characteristics 221\u003c\/p\u003e \u003cp\u003e9.3 One-Dimensional Time-Dependent Expansion 224\u003c\/p\u003e \u003cp\u003e9.4 Steady Two-Dimensional Irrotational Expansion 231\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Shock Waves 241\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 241\u003c\/p\u003e \u003cp\u003e10.2 The Shock Transition and the Rankine–Hugoniot Equations 242\u003c\/p\u003e \u003cp\u003e10.3 The Shock Adiabat 245\u003c\/p\u003e \u003cp\u003e10.4 Shocks in Real Gases 250\u003c\/p\u003e \u003cp\u003e10.5 The Hydrodynamic Structure of the Shock Front 254\u003c\/p\u003e \u003cp\u003e10.6 The Shock Front in Real Gases 264\u003c\/p\u003e \u003cp\u003e10.7 Shock Tubes 267\u003c\/p\u003e \u003cp\u003e10.8 Shock Interaction 271\u003c\/p\u003e \u003cp\u003e10.9 Oblique Shocks 277\u003c\/p\u003e \u003cp\u003e10.10 Adiabatic Compression 287\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Aerofoils in Low-Speed Incompressible Flow 295\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 295\u003c\/p\u003e \u003cp\u003e11.2 Two-Dimensional Aerofoils 298\u003c\/p\u003e \u003cp\u003e11.3 Generation of Lift on an Aerofoil 301\u003c\/p\u003e \u003cp\u003e11.4 Pitching Moment about the Wing 302\u003c\/p\u003e \u003cp\u003e11.5 Lift from a Thin Wing 304\u003c\/p\u003e \u003cp\u003e11.6 Application of Conformal Transforms to the Properties of Aerofoils 309\u003c\/p\u003e \u003cp\u003e11.7 The Two-Dimensional Panel Method 314\u003c\/p\u003e \u003cp\u003e11.8 Three-Dimensional Wings 315\u003c\/p\u003e \u003cp\u003e11.9 Three-Dimensional Panel Method 330\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Aerofoils in High-Speed Compressible Fluid Flow 341\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction 341\u003c\/p\u003e \u003cp\u003e12.2 Linearised Theory for Two-Dimensional Flows: Subsonic Compressible Flow around a Long Thin Aerofoil – Prandtl–Glauert Correction 344\u003c\/p\u003e \u003cp\u003e12.3 Linearised Theory for Two-Dimensional Flows: Supersonic Flow about an Aerofoil – Ackeret’s Formula 347\u003c\/p\u003e \u003cp\u003e12.4 Drag in High-Speed Compressible Flow 350\u003c\/p\u003e \u003cp\u003e12.5 Linearised Theory of Three-Dimensional Supersonic Flow – von Karman Ogives and Sears–Haack Bodies 354\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Deflagrations and Detonations 363\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction 363\u003c\/p\u003e \u003cp\u003e13.2 Detonations, Deflagrations and the Hugoniot Plot 368\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Self-similar Methods in Compressible Gas Flow and Intermediate Asymptotics 383\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Introduction 383\u003c\/p\u003e \u003cp\u003e14.2 Homogeneous Self-similar Flow of a Compressible Fluid 386\u003c\/p\u003e \u003cp\u003e14.3 Centred Self-similar Flows 395\u003c\/p\u003e \u003cp\u003e14.4 Flow Resulting from a Point Explosion in Gas – Blast Waves 397\u003c\/p\u003e \u003cp\u003e14.5 Adiabatic Collapse of a Sphere 402\u003c\/p\u003e \u003cp\u003e14.6 Convergent Shock Waves – Guderley’s Solution 407\u003c\/p\u003e \u003cp\u003eProblems 417\u003c\/p\u003e \u003cp\u003eSolutions 427\u003c\/p\u003e \u003cp\u003eBibliography 455\u003c\/p\u003e \u003cp\u003eIndex 463\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e  \u003cp\u003e“Summing Up: Recommended.  Upper-division undergraduates and graduate students in physics and mathematics.”  (\u003ci\u003eChoice\u003c\/i\u003e, 1 January 2014)\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cb\u003eGeoffrey Pert\u003c\/b\u003e's first academic appointment was in 1967 at the University of Alberta in the Electrical Engineering Dept as an Assistant Professor. In 1970 he was appointed as a lecturer in Applied Physics at Hull and proceeded up the scale to Professor in 1981. At Hull he taught Dimensional Analysis, Fluid Dynamics and Heat Transfer at different levels, amongst other material. In 1987 he transferred to York Physics Dept. as a Professor where he has taught Dimensional Analysis and Fluid Dynamics, and currently teach the course in fluid dynamics. His research began in 1962 on shock waves, but, when he joined Hull University, he moved into the field of laser produced plasmas. His work in this field has used fluid dynamics, particularly computational methods and he was elected FRS for this work in 1995.\u003cbr\u003eGeoffrey Pert has taught fluid mechanics to undergraduate and postgraduate physicists for approximately 35 years.\u003c\/p\u003e \u003cp\u003eThis book introduces the core ideas of fluid mechanics using both theoretical and experimental methods. The text presents a logical assembly of important ideas, approaches and specialist applications in one self-contained volume. Its unique focus combines the fundamental topics of fluid mechanics, such as equations of motion, ideal flows, viscous effects and turbulent flow. Engineering topics such as heat transfer and aerodynamics are briefly introduced. Full treatments of both incompressible and compressible flows are included. There is also a section of problems and worked solutions. The extensive material in this comprehensive text serves as a thorough background in fluid mechanics and the area of compressible flows.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eIntroductory Fluid Mechanics for Physicists and Mathematicians \u003c\/i\u003eis a valuable resource for physicists and mathematicians, and for undergraduate and postgraduate students in both disciplines. Readers will gain a strong working knowledge of fluid mechanics and a detailed understanding which will allow them to contribute to the new and evolving areas of study that are constantly emerging in this area.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989470134501,"sku":"NP9781119944850","price":51.5,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119944850.jpg?v=1761784229","url":"https:\/\/k12savings.com\/es\/products\/introductory-fluid-mechanics-for-physicists-and-mathematicians-isbn-9781119944850","provider":"K12savings","version":"1.0","type":"link"}