A Primer in Fluid MechanicsDynamics of Flows in One Space Dimension  book cover
1st Edition

A Primer in Fluid MechanicsDynamics of Flows in One Space Dimension

ISBN 9780849393686
Published October 22, 1998 by CRC Press
540 Pages

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Book Description

This distinctive text presents the basic principles of fluid mechanics by means of one-dimensional flow examples - differing significantly in style and content from other books.

A Primer in Fluid Mechanics contains:

  • an overview of fluid properties and the kinetic theory of gases
  • information on the fundamental equations of fluid mechanics, including historical references and background information
  • introductory discussions on fluid properties and fluid statics
  • a comprehensive chapter on compressible flow
  • a variety of applications on non-steady flow, including non-steady gas dynamics
  • a brief introduction to acoustics

    Novel provisos in the text include
  • an analysis of the static stability of a floating two-dimensional parabolic section
  • viscous flow through an elastic duct
  • several geometries in non-steady tank draining, including a singular perturbation problem

    Chapters also discuss physical properties, atmospheric stability, thermodynamics, energy and momentum equations, dimensional analysis, and historical perspectives of flows in pipes and conduits.

    A Primer in Fluid Mechanics offers a rigorous text for the curious student and for the research engineer seeking a readily available guide to the more refined treatments in the literature - supporting classical and current discussions as well as theoretical and practical concepts.
  • Table of Contents

    Fluid Properties - Kinetic Theory of Gases
    The Macroscopic View of Matter
    The Liquid State
    On the Kinetic Theory of Gases
    Mass Density
    Pressure in a Gas
    The Molecular Mean-Free-Path Length
    Relation between Viscosity and Mean-Free-Path Length
    On Heat Conduction
    On the Units of Viscosity
    On the Viscosity of Real Gases
    Heat Conduction Coefficient for Dilute Gases
    On the Viscosity of Liquids
    Availability and Future Sources of Fluid Property Data
    Fluid Statics
    Equilibrium and Pressure in a Fluid
    Classification of Forces
    The Fundamental Equation of Fluid Statics
    Equation of Fluid Statics for a Uniform Gravitational Field
    Pressure-Height Relation in a Liquid
    Elementary Pressure-Measuring Instruments
    An Application in Manometry
    Forces and Moments on Submerged Surfaces
    Applications Involving Forces and Moments on Curved Surfaces
    Forces on Submerged Bodies
    The Concept of Static Stability
    Application: Stability of a Buoy
    On the Stability of a Floating Parabolic Segment
    Fluid Statics of the Atmosphere
    US Standard Atmosphere
    Concept of Geopotential Height
    Stability of the Atmosphere
    Buoyancy in the Atmosphere
    Application of the Inverse Square Law of Gravitation: Pressure at the Center of the Earth
    Surface Tension
    The Equation of Fluid Mechanics
    Concepts from Kinematics
    Relating Observed Motion for Two Different Observers
    Kinematics in a Flow Field
    Time Derivatives and the Substantial Derivative
    Illustrative Examples
    Example Involving Other Time Derivatives
    Concept of a One-Dimensional Flow
    The Postulates of Fluid Dynamics
    The Continuity Equation
    Invariance of Continuity Equation under Change of Observer
    The Dynamical Equation of Motion
    On Newton's Second Law
    On Concepts from Thermodynamics
    The First Law of Thermodynamics
    The Second Law of Thermodynamics
    The Energy Equation
    Dissipation and the Role of Friction
    Wok and the Integrated Form of the Energy Equation
    The Linear Momentum Equation
    Applications in Constant-Density Flow
    A Catalogue of Restrictions
    The Equations of Incompressible (Constant-Density) Flow
    Bernoulli's Equation
    Total Pressure
    Frictionless Flow out of a Pressurized Reservoir
    On Quasi-Steady Flow
    Flow Losses in Internal Inlets
    Elementary Flow Metering Devices
    Two Flow-Rate Examples
    Pitot and Pitot-Static Tubes
    Elementary Applications of the Momentum Equation
    The Borda-Carnot Relation for a Sudden Enlargement
    The Borda Mouthpiece
    Forces on Vanes, Power Production
    The Rocket-Sled Water Brake
    The Water Sprinkler Problem
    Dimensional Analysis, Dynamical Similitude and Inspectional Analysis
    Dimensions versus Units
    Standards in Science and Technology
    Complete Physical Equations and Dimensional Homogeneity
    A Primitive Example of Dimensional Homogeneity
    The Role of Dimensionless Parameters
    The Buckingham Pi Theorem
    Application of the Pi Theorem
    Alternative Method for Determining the Pi-Ratios
    Example Where the Number of Pi-Ratios Is Greater than M-N
    Kinematical and Dynamical Similarity
    On the Physical Significance of the Reynolds Number
    Inspectional Analysis
    Dynamical Similarity and Modeling
    A Dimensional Analysis and an Inspectional Analysis Compared to the Complete Solution
    Effects of Viscosity in Pipes and Conduits
    A Historical Note
    The Experiments of Hagen and Poiseuille on Flow through Capillary Tubes
    Stokes' Solution for Hagen-Poiseuille Flow
    On the Correlation of Theory and Experiment
    The Darcy-Weisbach Equation for Head Loss in a Pipe
    Reynolds' Experiments on the Nature of Turbulence and the Discovery of a Criterion for the Transition from Laminar to Turbulent Flow
    The Application of Dimensional Analysis to Pipe Flow
    Zagarola and the Superpipe
    Flow in Artificially Roughened Pipes
    Flow Losses in Commercial Pipes
    Pumping Power to Maintain a Pipe Flow
    Computation of Power Required in a Non-Uniform Duct
    Hydraulic Calculations for Simple Conduits and Flow Loops
    Steady Flow through an Elastic Tube
    Steady Compressible Flow
    Introductory Remarks
    Thermodynamics of Fluids
    The Equations of Steady One-Dimensional Flow
    On the Propagation of Disturbances
    The Speed of Sound
    On the Maximum Speed of a Fluid Expanding into a Vacuum
    Discrepancies between Theory and Experiment
    Total Conditions in a Compressible Flow - Introduction to Mach Number
    Application - Temperature Rise at the Nose of a Re-Entry Vehicle
    Necessary Conditions for Accelerating a Flow in an Ideal Nozzle
    Isentropic Flow through a de Laval Nozzle
    The Appearance of Shock Waves in a Convergent-Divergent Nozzle
    Normal Shock Waves
    On the Structure of Shock Waves
    Analysis of Flow through a de Laval Nozzle with Shock Waves
    Fanno Processes
    Isothermal Flow
    The Inflow Problem
    Non-Steady Flow
    Analysis of Starting Flow in a Pipe Supplied by an Infinite Reservoir
    Non-Steady Liquid Flow through an Orifice in a Reservoir
    The Draining of a Conical Reservoir
    On the Notion of Characteristics
    Theory of Hyperbolic Equations for Functions of Two Independent Variables
    The General Equations for One-Dimensional Non-Steady Gas Flow in a Constant-Area Duct
    Impulsive Motion of a Piston in a Duct
    Propagation of an Isentropic Finite-Amplitude Compression Pulse
    An Approach to Acoustics

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    "Unique...Meticulously accurate...The author gives a refreshingly original discussion."
    - Ronald L. Panton, Mechanical Engineering Department, University of Texas at Austin