### [yim256] Fluid Mechanics: An Introduction to the Theory of Fluid Flows

Fluid mechanics is a field that spreads widely and to all fields of engineering, science and medicine. The book takes this into account and provides a sound basis.

This is a modern book on fluid mechanics that is written in a way needed these days to teach the subject to students in engineering and science at higher educational institutes. The book is well structured for this purpose and is arranged in a logical teaching sequence of chapters.

The main benefit the reader will derive from the book is a sound introduction into fluid mechanics with introductions into subfields that are of interest to engineering and science.

Contents

Chapter 1 Introduction, Importance and Development of Fluid Mechanics

Fluid Flows and their Significance - Sub-Domains of Fluid Mechanics - Historical Developments

References

Chapter 2 Mathematical Basics

Introduction and Definitions - Tensors of Zero Order (Scalars) - Tensors of First Order (Vectors) - Tensors of Second Order - Field Variables and Mathematical Operations - Substantial Quantities and Substantial Derivative - Gradient, Divergence, Rotation and Laplace Operators - Line, Surface and Volume Integrals - Integral Laws of Stokes and Gauss - Differential Operators in Curvilinear Orthogonal Coordinates - Complex Numbers - Axiomatic Introduction to Complex Numbers - Graphical Representation of Complex Numbers - The Gauss Complex Number Plane - Trigonometric Representation - Stereographic Projection - Elementary Function

References

Chapter 3 Physical Basics

Solids and Fluids - Molecular Properties and Quantities of Continuum Mechanics - Transport Processes in Newtonian Fluids - General Considerations - Pressure in Gases - Molecular-Dependent Momentum Transport - Molecular Transport of Heat and Mass in Gases - Viscosity of Fluids - Balance Considerations and Conservation Laws - Thermodynamic Considerations

References

Chapter 4 Basics of Fluid Kinematics

General Considerations Substantial Derivatives - Motion of Fluid Elements - Path Lines of Fluid Elements - Streak Lines of Locally Injected Tracers - Kinematic Quantities of Flow Fields - Stream Lines of a Velocity Field - Stream Function and Stream Lines of Two-Dimensional Flow Fields - Divergence of a Flow Field - Translation, Deformation and Rotation of Fluid Elements - Relative Motions

References

Chapter 5 Basic Equations of Fluid Mechanics

General Considerations - Mass Conservation (Continuity Equation) - Newton’s Second Law (Momentum Equation) - The Navier–Stokes Equations - Mechanical Energy Equation - Thermal Energy Equation - Basic Equations in Different Coordinate Systems - Continuity Equation - Navier–Stokes Equations - Special Forms of the Basic Equations - Transport Equation for Vorticity - The Bernoulli Equation - Crocco Equation - Further Forms of the Energy Equation - Transport Equation for Chemical Species

References

Chapter 6 Hydrostatics and Aerostatics

Hydrostatics - Connected Containers and Pressure-Measuring Instruments - Communicating Containers - Pressure-Measuring Instruments - Pressure in the Atmosphere - Rotating Containers - Aerostatic Buoyancy - Conditions for Aerostatics: Stability of Layers

References

Chapter 7 Similarity Theory

Introduction - Dimensionless Form of the Differential Equations - General Remarks - Dimensionless Form of the Differential Equations - Considerations in the Presence of Geometric and Kinematic Similarities - Importance of Viscous Velocity, Time and Length Scales - Dimensional Analysis and π-Theorem

References

Chapter 8 Integral Forms of the Basic Equations

Integral Form of the Continuity Equation - Integral Form of the Momentum Equation - Integral Form of the Mechanical Energy Equation - Integral Form of the Thermal Energy Equation - Applications of the Integral Form of the Basic Equations - Outflow from Containers - Exit Velocity of a Nozzle - Momentum on a Plane Vertical Plate - Momentum on an Inclined Plane Plate - Jet Deflection by an Edge - Mixing Process in a Pipe of Constant Cross-Section - Force on a Turbine Blade in a Viscosity-Free Fluid - Force on a Periodical Blade Grid - Euler’s Turbine Equation - Power of Flow Machines

References

Chapter 9 Stream Tube Theory

General Considerations - Derivations of the Basic Equations - Continuity Equation - Momentum Equation - Bernoulli Equation - The Total Energy Equation - Incompressible Flows - Hydro-Mechanical Nozzle Flows - Sudden Cross-Sectional Area Extension - Compressible Flows - Influences of Area Changes on Flows - Pressure-Driven Flows Through Converging Nozzles

References

Chapter 10 Potential Flows

Potential and Stream Functions - Potential and Complex Functions - Uniform Flow - Corner and Sector Flows - Source or Sink Flows and Potential Vortex Flow - Dipole-Generated Flow - Potential Flow Around a Cylinder - Flow Around a Cylinder with Circulation - Summary of Important Potential Flows - Flow Forces on Bodies

References

Chapter 11 Wave Motions in Non-Viscous Fluids

General Considerations - Longitudinal Waves: Sound Waves in Gases - Transversal Waves: Surface Waves - General Solution Approach - Plane Standing Waves - Plane Progressing Waves - References to Further Wave Motions

References

Chapter 12 Introduction to Gas Dynamics

Introductory Considerations - Mach Lines and Mach Cone - Non-Linear Wave Propagation, Formation of Shock Waves - Alternative Forms of the Bernoulli Equation - Flow with Heat Transfer (Pipe Flow) - Subsonic Flow - Supersonic Flow - Rayleigh and Fanno Relations - Normal Compression Shock (Rankine–Hugoniot Equation)

References

Chapter 13 Stationary, One-Dimensional Fluid Flows of Incompressible, Viscous Fluids

General Considerations - Plane Fluid Flows - Cylindrical Fluid Flows - Derivations of the Basic Equations for Fully Developed Fluid Flows - Plane Fluid Flows - Cylindrical Fluid Flows - Plane Couette Flow - Plane Fluid Flow Between Plates Plane Film Flow on an Inclined Plate - Axi-Symmetric Film Flow - Pipe Flow (Hagen–Poiseuille Flow) - Axial Flow Between Two Cylinders - Film Flows with Two Layers - Two-Phase Plane Channel Flow

References

Chapter 14 Time-Dependent, One-Dimensional Flows of Viscous Fluids

General Considerations - Accelerated and Decelerated Fluid Flows - Stokes First Problem - Diffusion of a Vortex Layer - Channel Flow Induced by Movements of Plates - Pipe Flow Induced by the Pipe Wall Motion - Oscillating Fluid Flows - Stokes Second Problem - Pressure Gradient-Driven Fluid Flows - Starting Flow in a Channel - Starting Pipe Flow

References

Chapter 15 Fluid Flows of Small Reynolds Numbers

General Considerations - Creeping Fluid Flows Between Two Plates - Plane Lubrication Films - Theory of Lubrication in Roller Bearings - The Slow Rotation of a Sphere - The Slow Translatory Motion of a Sphere - The Slow Rotational Motion of a Cylinder - The Slow Translatory Motion of a Cylinder - Diﬀusion and Convection Influences on Flow Fields

References

Chapter 16 Flows of Large Reynolds Numbers Boundary-Layer Flows

General Considerations and Derivations- Solutions of the Boundary-Layer Equations - Flat Plate Boundary Layer (Blasius Solution) - Integral Properties of Wall Boundary Layers - The Laminar, Plane, Two-Dimensional Free Shear Layer - The Plane, Two-Dimensional, Laminar Free Jet - Plane, Two-Dimensional Wake Flow - Converging Channel Flow

References

Chapter 17 Unstable Flows and Laminar-Turbulent Transition

General Considerations - Causes of Flow Instabilities - Stability of Atmospheric Temperature Layers - Gravitationally Caused Instabilities - Instabilities in Annular Clearances Caused - Generalized Instability Considerations

(Orr–Sommerfeld Equation) - Classifications of Instabilities - Transitional Boundary-Layer Flows

References

Chapter 18 Turbulent Flows

General Considerations - Statistical Description of Turbulent Flows - Basics of Statistical Considerations of Turbulent Flows - Fundamental Rules of Time Averaging - Fundamental Rules for Probability Density - Characteristic Function - Correlations, Spectra and Time-Scales of Turbulence - Time-Averaged Basic Equations of Turbulent Flows - The Continuity Equation - The Reynolds Equation - Mechanical Energy Equation for the Mean Flow Field - Equation for the Kinetic Energy of Turbulence - Characteristic Scales of Length, Velocity and Time of Turbulent Flows - Turbulence Models - General Considerations - General Considerations Concerning Eddy Viscosity Models - Zero-Equation Eddy Viscosity Models - One-Equation Eddy Viscosity Models - Two-Equation Eddy Viscosity Models - Turbulent Wall Boundary Layers

References

Chapter 19 Numerical Solutions of the Basic Equations

General Considerations - General Transport Equation and Discretization of the Solution Region - Discretization by Finite Differences - Finite-Volume Discretization - General Considerations - Discretization in Space - Discretization with Respect to Time - Treatments of the Source Terms - Computation of Laminar Flows - Wall Boundary Conditions - Symmetry Planes - Inflow Planes - Outflow Planes - Computations of Turbulent Flows - Flow Equations to be Solved - Boundary Conditions for Turbulent Flows

References

Chapter 20 Fluid Flows with Heat Transfer

General Considerations - Stationary, Fully Developed Flow in Channels - Natural Convection Flow Between Vertical Plane Plates - Non-Stationary Free Convection Flow Near a Plane Vertical Plate - Plane-Plate Boundary Layer with Plate Heating at Small Prandtl Numbers - Similarity Solution for a Plate Boundary Layer with Wall Heating and Dissipative Warming - Vertical Plate Boundary-Layer Flows Caused by Natural Convection - Similarity Considerations for Flows with Heat Transfer

References

Chapter 21 Introduction to Fluid-Flow Measurement

Introductory Considerations - Measurements of Static Pressures - Measurements of Dynamic Pressures - Applications of Stagnation-Pressure Probes - Basics of Hot-Wire Anemometry - Measuring Principle and Physical Principles - Properties of Hot-Wires and Problems of Application - Hot-Wire Probes and Supports - Cooling Laws for Hot-Wire Probes - Static Calibration of Hot-Wire Probes - Turbulence Measurements with Hot-Wire Anemometers - Laser Doppler Anemometry - Theory of Laser Doppler Anemometry - Optical Systems for Laser Doppler Measurements - Electronic Systems for Laser Doppler Measurements - Execution of LDA-Measurements: One-Dimensional LDA Systems

References

Index

# Title : Fluid Mechanics: An Introduction to the Theory of Fluid Flows

# Author : Franz Durst

# Hardcover: 724 pages

# Publisher: Springer; 1 edition (October 7, 2008)

# Language: English

# ISBN-10: 3540713425

# ISBN-13: 978-3540713425

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