Table of Contents

**Part I: Elements in Fluid Mechanics**

**Chapter 1: Local Equations of Fluid Mechanics**

1.1. Forces, stress tensor, and pressure

1.2. Navier–Stokes equations in Cartesian coordinates

1.3. The plane Poiseuille flow

1.6. The boundary layer concept

1.7. Solutions of Navier–Stokes equations where a gravity field is present, hydrostatic pressure

1.9. Some conclusions on the solutions of Navier–Stokes equations

**Chapter 2: Global Theorems of Fluid Mechanics**

2.1. Euler equations in an intrinsic coordinate system

2.3. Pressure variation in a direction normal to a streamline

2.5. Evaluating friction for a steady-state flow in a straight pipe

2.6. Pressure drop in a sudden expansion (Borda calculation)

2.7. Using the momentum theorem in the presence of gravity

2.8. Kinetic energy balance and dissipation

**Chapter 3: Dimensional Analysis**

3.1. Principle of dimensional analysis, Vaschy–Buckingham theorem

3.2. Dimensional study of Navier–Stokes equations

3.4. An application example: fall velocity of a spherical particle in a viscous fluid at rest

**Chapter 4: Steady–State Hydraulic Circuits**

4.1. Operating point of a hydraulic circuit

4.2. Steady-state flows in straight pipes: regular head loss

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