Incompressible flow [electronic resource] Ronald L. Panton.
- Other records:
- 4th ed.
- Hoboken, N.J. : Wiley, c2013.
1 online resource (914 p.)
- Fluid dynamics.
- Electronic books.
- The most teachable book on incompressible flow- now fully revised, updated, and expanded Incompressible Flow, Fourth Edition is the updated and revised edition of Ronald Panton's classic text. It continues a respected tradition of providing the most comprehensive coverage of the subject in an exceptionally clear, unified, and carefully paced introduction to advanced concepts in fluid mechanics. Beginning with basic principles, this Fourth Edition patiently develops the math and physics leading to major theories. Throughout, the book provides a unified presentation
- Cover; Title Page; Copyright; Contents; Preface; Preface to the Third Edition; Preface to the Second Edition; Preface to the First Edition; Chapter 1 Continuum Mechanics; 1.1 Continuum Assumption; 1.2 Fundamental Concepts, Definitions, and Laws; 1.3 Space and Time; 1.4 Density, Velocity, and Internal Energy; 1.5 Interface between Phases; 1.6 Conclusions; Problems; Chapter 2 Thermodynamics; 2.1 Systems, Properties, and Processes; 2.2 Independent Variables; 2.3 Temperature and Entropy; 2.4 Fundamental Equations of Thermodynamics; 2.5 Euler's Equation for Homogenous Functions
2.6 Gibbs-Duhem Equation2.7 Intensive Forms of Basic Equations; 2.8 Dimensions of Temperature and Entropy; 2.9 Working Equations; 2.10 Ideal Gas; 2.11 Incompressible Substance; 2.12 Compressible Liquids; 2.13 Conclusions; Problems; Chapter 3 Vector Calculus and Index Notation; 3.1 Index Notation Rules and Coordinate Rotation; 3.2 Definition of Vectors and Tensors; 3.3 Special Symbols and Isotropic Tensors; 3.4 Direction Cosines and the Laws of Cosines; 3.5 Algebra with Vectors; 3.6 Symmetric and Antisymmetric Tensors; 3.7 Algebra with Tensors; 3.8 Vector Cross-Product
*3.9 Alternative Definitions of Vectors*3.10 Principal Axes and Values; 3.11 Derivative Operations on Vector Fields; 3.12 Integral Formulas of Gauss and Stokes; 3.13 Leibnitz's Theorem; 3.14 Conclusions; Problems; Chapter 4 Kinematics of Local Fluid Motion; 4.1 Lagrangian Viewpoint; 4.2 Eulerian Viewpoint; 4.3 Substantial Derivative; 4.4 Decomposition of Motion; 4.5 Elementary Motions in a Linear Shear Flow; *4.6 Proof of Vorticity Characteristics; *4.7 Rate-of-Strain Characteristics; 4.8 Rate of Expansion; *4.9 Streamline Coordinates; 4.10 Conclusions; Problems; Chapter 5 Basic Laws
5.1 Continuity Equation5.2 Momentum Equation; 5.3 Surface Forces; *5.4 Stress Tensor Derivation; 5.5 Interpretation of the Stress Tensor Components; 5.6 Pressure and Viscous Stress Tensor; 5.7 Differential Momentum Equation; *5.8 Moment of Momentum, Angular Momentum, and Symmetry of Tij; 5.9 Energy Equation; 5.10 Mechanical and Thermal Energy Equations; 5.11 Energy Equation with Temperature as the Dependent Variable; *5.12 Second Law of Thermodynamics; 5.13 Integral Form of the Continuity Equation; 5.14 Integral Form of the Momentum Equation
*5.15 Momentum Equation for a Deformable Particle of Variable Mass*5.16 Integral Form of the Energy Equation; 5.17 Integral Mechanical Energy Equation; 5.18 Jump Equations at Interfaces; 5.19 Conclusions; Problems; Chapter 6 Newtonian Fluids and the Navier-Stokes Equations; 6.1 Newton's Viscosity Law; 6.2 Molecular Model of Viscous Effects; 6.3 Non-Newtonian Liquids; *6.4 Wall Boundary Conditions; The No-Slip Condition; 6.5 Fourier's Heat Conduction Law; 6.6 Navier-Stokes Equations; 6.7 Conclusions; Problems; Chapter 7 Some Incompressible Flow Patterns; 7.1 Pressure-Driven Flow in a Slot
7.2 Mechanical Energy, Head Loss, and Bernoulli Equation
- Includes index.
Includes bibliographical references and index.
Description based on online resource; title from title page (ebrary, viewed July 26, 2013).
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