Intermediate Fluid Mechanics

Description

Nunn provides an overview of the topic of fluid mechanics, a subject often considered essential in college engineering programs. 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