Intermediate Fluid Mechanics

Content: Cover
 Half Title
 Title Page
 Copyright Page
 Dedication
 Table of Contents
 Preface
 1: Background and Introductory Material
 1.1 Review of Some Important Mathematical Tools
 Derivatives of Vectors
 Vector Differential Operations
 Integration of Functions of More than One Variable
 1.2 The Notion of a Continuum
 1.3 Bibliography
 References
 Part 1: Ideal Fluid Flows
 2: Forces and Motions in Ideal Flows
 2.1 Derivative Moving with the Flow
 2.2 Vector Expressions for Forces on a Fluid Particle
 2.3 Euler Equation
 Description in Streamline Coordinates
 2.4 Bernoulli Equation
 Problems 3: Tools for Use in Ideal Fluid Flows3.1 Flows with and without Rotational Motion
 Vorticity
 Circulation
 Irrotational Motion and Velocity Potential
 3.2 Bernoulli Equation Revisited
 Special Cases
 3.3 Stream Function
 Physical Construction of Stream Function
 3.4 Irrotational Continuous Flows
 Stream Function in Irrotational Flows
 Velocity Potential in Continuous Flows
 Functions That Satisfy the Laplace Equation
 Orthogonality of Stream Function and Velocity Potential
 3.5 Summary
 References
 Problems
 4: Analysis of Ideal Fluid Flows
 4.1 Some Extremely Useful Flows
 Uniform Flow Source (or Sink) at the OriginVortex at the Origin
 Doublet at the Origin Facing in the + x Direction
 4.2 Circular Cylinder in Uniform Flow
 Velocities
 Pressures
 Forces
 Cylinder in Uniform Flow with Circulation
 Problems
 5: Some Extensions to the Methods of Analysis of Ideal Flows
 5.1 Applications of the Theory of Complex Variables
 Properties of the Complex Variable
 Two Important Theorems
 5.2 Back to Fluid Mechanics
 Complex Velocity Potential
 Some Basic Two-Dimensional Flows
 5.3 Distributed Singularities
 Indirect Method
 Direct Methods Using Distributed Singularities Some Results of Extended ApplicationsReferences
 Problems
 Part 2: One-Dimensional Compressible Flow
 6: Background
 6.1 Ground Rules
 6.2 Fundamentals and Governing Relationships
 Flow Energy Equation
 Mass Flow Effects with Variable Density
 6.3 Speed of Propagation of a Small Disturbance
 6.4 Stagnation State
 6.5 Further Implications of the Second Law
 Entropy Connection to Vorticity
 References
 Problems
 7: Isentropic One-Dimensional Flows
 7.1 Mach Number Relationships
 Relating Conditions at Two Points in Isentropic Flow
 7.2 Differential Expressions of Change Flow-Area Relationships in Isentropic Flows7.3 Nozzle Flow and Back-Pressure Effects
 Establishment of Supersonic Internal Flows
 Reference
 Problems
 8: Wave Processes in Supersonic Flows
 8.1 Changes across Normal Shocks
 C-D Nozzle with Normal Shocks
 8.2 Oblique Shock Waves
 8.3 Very Weak Waves (Mach Waves)
 Prandtl-Meyer Flow
 References
 Problems
 9: Continuous Flows with Entropy Changes
 9.1 Governing Differential Expressions
 Constant-Area Adiabatic Flow (Fanno Flow)
 Constant-Area Reversible Flow with Heat Transfer (Rayleigh Flow)
 9.2 Analysis of Fanno Flows
 Accounting for Friction