Advanced Fluid Mechanics

7 ¼ X 10 ¼ in Chapter 1 - Fundamentals 1.1 Introduction

1 .2 Velocity, acceleration and the material derivative

1.3 The local continuity equation

1.4 Path lines, str eam lines and the stream function

a. Lagrange s strea m function for two-dimensional flows

b. Stream function s for three-dimensional flows,including Stokes stream function
1.5 Newton s momentum equation

1.6 Stress

1.7 Rates of deformation

1.8 Constitutive re lations for Newtonian fluids
1.9 Equations for Newtonian f luids

1.10 Boundary conditions

1.11 Vortic ity and circulation

1.12 The vorticity equation

1.13 The work-energy equation

1.14 The first law of thermodynamics

1.15 Dimensionless parameters

1.16.Non-Newtonian fluids

1.17 Moving coordinate sy stems

Problems

Chapter 2 - Inviscid irro tational flows 2.1 Inviscid flows

2.2 Ir