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Introduction and Basic Definitions | |

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Introduction | |

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Fluid Dynamics and Engineering Analysis and Design | |

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Solution Methods | |

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Control Volume Analysis: Open System vs. Closed System | |

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The Continuum Assumption, Differential Analysis | |

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Fluid Properties | |

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Dimensions and Systems of Units | |

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Conservation Laws for Closed Systems | |

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General Conservation Law for a Closed System | |

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Conservation of Mass | |

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Conservation of Linear Momentum | |

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Hydrostatics | |

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The Conservation of Momentum for a Non-Inertial Coordinate System | |

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Conservation of Energy | |

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Second Law of Thermodynamics | |

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Review of Basic Thermodynamic Principles | |

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Dynamics of Ideal Gases | |

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Hydrostatic Effects on Submerged Bodies | |

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Conservation Laws for Open Systems | |

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Reynolds Transport Theorem | |

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General Conservation Law for an Open System | |

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Conservation of Mass | |

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Conservation of Linear Momentum | |

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Conservation of Linear Momentum for a Non-Inertial Coordinate System | |

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Conservation of Energy | |

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Energy Equation Along a Streamline | |

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Second Law of Thermodynamics | |

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Differential View of Fluid Motion: Fluid Kinematics and Deformation | |

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Differential View | |

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Position Vector of Fluid Particles | |

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Velocity and Acceleration Fields | |

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Lagrangian and Eulerian Perspectives | |

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Visual Kinematic Concepts | |

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Streamlines, Streamfunction | |

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Velocity Potential | |

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Pathlines, Streaklines | |

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Deformation of Fluid Elements: Translation, Rotation, Strain | |

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Differential Form of the Conservation Laws | |

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Differential View of the Dynamics of Flow: Internal State of Stress | |

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Body Forces on a Differential Control Volume | |

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Force on an Arbitrary Fluid Surface | |

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Conservation Laws | |

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Conservation of Mass | |

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Conservation of Linear Momentum | |

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Differential View of Fluid Statics | |

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Conservation of Mechanical Energy | |

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Constitutive Relations | |

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Flow Boundary Conditions | |

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No-Slip Boundary Condition | |

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Applied Surface Forces | |

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Surface Tension Forces | |

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Free Surface Boundary Conditions | |

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Navier-Stokes Equations | |

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Non-Isothermal Flows | |

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Conservation of Total Energy | |

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Conservation of Thermal Energy | |

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Constitutive Description of Heat Transfer | |

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Thermal Boundary Conditions | |

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Dimensional Analysis of Fluid Systems | |

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Functional Relations using Dimensional Analysis | |

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Buckingham-[Pi] Theorem | |

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Scaling and Order-of-Magnitude Analysis | |

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Significance of Dimensionless Groups | |

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Similitude, Design of Experiments | |

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Incomplete Similarity | |

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Exact Analytic Solutions | |

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Mathematical Modeling | |

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Poiseuille Flow: Fully Developed Channel Flow | |

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Poiseuille Flow: Fully Developed Pipe Flow | |

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Gravity Flow: Flow Down an Inclined Plane | |

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Film Drawing | |

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Fully Developed Non-Newtonian Channel Flow | |

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Transient Flow: Impulsively Started Flow | |

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Non-Isothermal Poiseuille Flow | |

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Combined Analytic and Experimental Solutions | |

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Boundary Layer Concept | |

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Boundary Layer Theory | |

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Approximate Momentum Integral Theory | |

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Laminar Boundary Layer Flow | |

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"Exact" Laminar Similarity Solutions | |

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Approximate Laminar Boundary Layer Flow | |

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Turbulent Boundary Layer Flow | |

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Approximate Turbulent Boundary Layer Flow | |

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Dynamics of External Flows | |

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Flow Separation | |

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Wake Dynamics | |

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Drag and Lift Forces | |

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Flow Past a Circular Cylinder | |

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Flow Past Bodies with Arbitrary Shapes | |

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Fundamentals of Aerodynamic Applications | |

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Internal Flows | |

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Energy Considerations in Pipe Flow | |

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Major Losses | |

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Minor Losses | |

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Solution Procedure for Single-Pipe Problems | |

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Flow in Piping Networks | |

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Ideal Inviscid Flow | |

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Inviscid Theory: Euler Equations | |

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Euler Equations in Streamline Coordinates | |

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The Bernoulli Equation | |

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Exact Solutions for Irrotational Inviscid Flows | |

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Elementary Flows | |

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Superposition of Elementary Flows | |

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Dynamics of Rotating Fluids: Turbomachinery | |

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Conservation of Angular Momentum Concept | |

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Conservation of Angular Momentum for a Closed System | |

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Conservation of Angular Momentum for an Open System | |

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Turbomachines | |

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Theoretical Framework | |

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Energy-Absorbing Turbomachines | |

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Dimensional Analysis | |

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Scaling Properties, Specific Speed | |

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Pump Selection and Performance Considerations | |

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Energy-Producing Turbomachines | |

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Impulse Turbines | |

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Reaction Turbines | |

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Simple Propeller and Windmill Theory | |

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Compressible Flow | |

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Sonic Speed | |

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Isentropic Flow | |

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Flow in a Channel with Variable Area | |

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Mass Flow Rate Through a Channel | |

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Supersonic Flow--Related Phenomena | |

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Normal Shocks | |

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Oblique Shocks | |

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Prandtl-Meyer Expansion | |

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Flow in a Converging-Diverging Nozzle | |

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Flow with Friction | |

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Effect of Friction on Flow Properties | |

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Fanno Flow Line | |

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Flow with Heat Transfer | |

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Effect of Heat Transfer on Flow Properties | |

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Rayleigh Flow Line | |

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Experimental Fluid Dynamics | |

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Basic Concepts | |

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Design of Experiments | |

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Data Acquisition | |

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Instrumentation Fundamentals | |

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Analysis of Experimental Data | |

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Measurement of Fluid Properties | |

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Volume, Mass, Density | |

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Viscosity | |

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Measurement of General Flow Characteristics | |

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Flow Visualization | |

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Velocity | |

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Pressure | |

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Standard Flow Rate Measuring Devices | |

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Pitot-Type Flow Meters | |

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Flow-Obstruction--Based Flow Meters | |

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Positive Displacement Flow Meters | |

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Other Flow Meters | |

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Fundamentals of Computational Fluid Dynamics | |

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Algebraic Equations | |

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Root of Equations | |

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Numerical Integration | |

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Ordinary Differential Equations | |

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Integration Schemes for ODEs | |

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Partial Differential Equations | |

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Discretization Methods | |

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Finite Difference Method | |

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Inviscid Flow | |

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Finite Difference Solution of [Delta superscript 2 psi] = 0 | |

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Viscous Flow | |

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Boundary layer | |

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Fluid Properties | |

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Compressible Flow Tables | |

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Differential Form of the Governing Equations | |

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Computer Programs | |

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Numerical Solution of Algebraic Equations | |

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Calculation of Friction Factor f: Bisection Method | |

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Calculation of Friction Factor f: Newton-Raphson Method | |

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Numerical Integration | |

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Trapezoidal Integration | |

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Simpson's Integration | |

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Numerical Integration of ODEs | |

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Euler's Methods | |

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Boundary-Layer Similarity Solution | |

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Numerical Integration of PDEs | |

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Inviscid Flow: Solution of [Delta superscript 2 psi] = 0 | |

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Boundary-Layer Flow | |

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Basic Mathematics of Fluid Dynamics | |

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Scalars | |

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Vectors and Vector Algebra | |

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Coordinate Systems | |

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Vector Multiplication by a Scalar | |

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Scalar, Vector-Vector Operations | |

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Vector, Vector-Vector Operations | |

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Elementary Calculus | |

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Vector Differential Calculus | |

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Lines, Surfaces, Volumes | |

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Gauss Divergence Theorem | |

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Stokes's Theorem | |

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Tensors and Tensor Algebra | |

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Index | |