Contents
xi
3.6 Unsteady Flow in a Pressure Pipeline
228
3.6.1 Overview
228
3.6.2 Basic Equation of One-Dimensional Unsteady
Flow
231
3.6.3 Water Hammer and Its Governing Equations
233
3.6.4 Water Oscillating Flow
236
3.7 Unsteady Gradually Varied Flow in Open Channel
238
3.7.1 Overview
238
3.7.2 Differential Equation of Unsteady Gradually
Varied Flow
239
3.8 Fundamentals of Water Wave Hydrodynamics
242
3.8.1 Overview
242
3.8.2 Basic Characteristics of Wave Motion
245
3.8.3 Types of Waves
248
3.8.4 Linear Wave Theory (Micro Amplitude Wave
Theory)
252
3.8.5 Wave with Finite Amplitude
264
3.8.6 Solitary Wave
275
3.9 Applications in Hydraulics
282
3.9.1 Water Resources and Hydropower Engineering
282
3.9.2 Ship Engineering
284
3.9.3 Lubrication and Hydraulic Transmission
286
3.9.4 Marine and Coastal Engineering
288
4 Computational Fluid Dynamics
297
4.1 Derivation of Computational Fluid Dynamics
297
4.2 Discrete Techniques and Iterative Methods
300
4.3 Application of Computational Fluid Dynamics
304
4.3.1 Numerical Solution of Low Velocity Flow
304
4.3.2 Numerical Solution of Transonic Flow
309
4.3.3 Numerical Solution of Supersonic Flow
310
4.4 Commercial Software for Computational Fluid
Dynamics
312
4.5 Numerical Simulation of Flow Field for a Large Axial
Flow Fan
316
4.5.1 Problem Description
316
4.5.2 The Physical Model
316
4.5.3 Mesh Generation and Boundary Conditions
317
4.5.4 Results
318