Intermediate Fluid Mechanics.
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| Format: | eBook |
| Language: | English |
| Published: |
London :
Routledge,
2018.
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- 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.