| Description |
1 online resource (xxix, 1243 pages) : illustrations |
| Contents |
Cover; Contents; Preface; Preface to the Second Edition; Note to the Instructor; Note to the Reader; 1 Kinematic structure of a flow; 1.1 Fluid velocity and motion of fluid parcels; 1.1.1 Subparcels and point particles; 1.1.2 Velocity gradient; 1.1.3 Dyadic base; 1.1.4 Fundamental decomposition of the velocity gradient; 1.1.5 Vorticity; 1.1.6 Fluid parcel motion; 1.1.7 Irrotational and rotational flows; 1.1.8 Cartesian tensors; 1.2 Curvilinear coordinates; 1.2.1 Orthogonal curvilinear coordinates; 1.2.2 Cylindrical polar coordinates; 1.2.3 Spherical polar coordinates |
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1.2.4 Plane polar coordinates1.2.5 Axisymmetric flow; 1.2.6 Swirling flow; 1.2.7 Nonorthogonal curvilinear coordinates; 1.3 Lagrangian labels of point particles; 1.3.1 The material derivative; 1.3.2 Point-particle acceleration; 1.3.3 Lagrangian mapping; 1.3.4 Deformation gradient; 1.4 Properties of fluid parcels and mass conservation; 1.4.1 Rate of change of parcel volume and Euler's theorem in kinematics; 1.4.2 Reynolds transport theorem; 1.4.3 Mass conservation and the continuity equation; 1.4.4 Incompressible fluids and solenoidal velocity fields; 1.4.5 Rate of change of parcel properties |
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1.5 Point-particle motion1.5.1 Cylindrical polar coordinates; 1.5.2 Spherical polar coordinates; 1.5.3 Plane polar coordinates; 1.5.4 Particle rotation around an axis; 1.6 Material vectors and material lines; 1.6.1 Material vectors; 1.6.2 Material lines; 1.6.3 Frenet-Serret relations; 1.6.4 Evolution equations for a material line; 1.7 Material surfaces; 1.7.1 Tangential vectors and metric coefficients; 1.7.2 Normal vector and surface metric; 1.7.3 Evolution equations; 1.7.4 Flow rate of a vector field through a material surface; 1.8 Diffierential geometry of surfaces |
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1.8.1 Metric tensor and the first fundamental form of a surface1.8.2 Second fundamental form of a surface; 1.8.3 Curvatures; 1.8.4 Curvature of a line in a plane; 1.8.5 Mean curvature of a surface as the divergence of the normal vector; 1.8.6 Mean curvature as a contour integral; 1.8.7 Curvature of an axisymmetric surface; 1.9 Interfacial surfactant transport; 1.9.1 Two-dimensional interfaces; 1.9.2 Axisymmetric interfaces; 1.9.3 Three-dimensional interfaces; 1.10 Eulerian description of material lines and surfaces; 1.10.1 Kinematic compatibility; 1.10.2 Generalized compatibility condition |
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1.10.3 Line curvilinear coordinates1.10.4 Surface curvilinear coordinates; 1.11 Streamlines, streamtubes, path lines, and streak lines; 1.11.1 Computation of streamlines; 1.11.2 Stream surfaces and streamtubes; 1.11.3 Streamline coordinates; 1.11.4 Path lines and streaklines; 1.12 Vortex lines, vortex tubes, and circulation around loops; 1.12.1 Vortex lines and tubes; 1.12.2 Circulation; 1.12.3 Rate of change of circulation around a material loop; 1.13 Line vortices and vortex sheets; 1.13.1 Line vortex; 1.13.2 Vortex sheet; 1.13.3 Two-dimensional flow; 1.13.4 Axisymmetric flow |
| Summary |
This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces analytical and numerical methods for solving a broad range of pertinent problems. Topics include an in-depth discussion of kinematics, elements of differential geometry of lines and surfaces, vortex dynamics, properties and computation of interfacial shapes in hydrostatics, exact solutions, flow at low Reynolds numbers, interfacial flows, hydrodynamic stability, boundary-layer analysis, vortex motion, boundary-integral methods for potential and Sto |
| Bibliography |
Includes bibliographical references (pages 1200-1224) and index |
| Notes |
Print version record |
| Subject |
Fluid dynamics.
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SCIENCE -- Mechanics -- Fluids.
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Fluid dynamics
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| Form |
Electronic book
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| LC no. |
2011002954 |
| ISBN |
9780199909124 |
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0199909121 |
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9781283656795 |
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1283656795 |
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