{"product_id":"introductory-fluid-mechanics-for-physicists-and-mathematicians-paperback-softback-9781119944850","title":"Introductory Fluid Mechanics for Physicists and Mathematicians (Paperback \/ softback) 9781119944850","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eIntroductory Fluid Mechanics for Physicists and Mathematicians\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eGeoffrey J. Pert (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781119944850, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 26 April 2013\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e496 pages\u003cbr\u003e24.4 x 17 x 2.5 cm, 0.73 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\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\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\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\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\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\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52431014363416,"sku":"9781119944850","price":50.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781119944850.jpg?v=1784768577","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/introductory-fluid-mechanics-for-physicists-and-mathematicians-paperback-softback-9781119944850","provider":"Freshly Printed Books","version":"1.0","type":"link"}