Fluid Mechanics I

1. Introduction

Preliminary Remarks, The Concept of a Fluid, The Fluid as a Continuum, Dimensions and Units, Properties of the Velocity Field, Thermodynamic Properties of a Fluid, Viscosity and Other Secondary Properties, Basic Flow-Analysis Techniques, Flow Patterns: Streamlines, Streaklines, and Pathlines

2. Pressure Distribution in a Fluid

Pressure and Pressure Gradient, Equilibrium of a Fluid Element, Hydrostatic Pressure Distributions, Application to Manometer, Hydrostatic Forces on Plane Surfaces, Hydrostatic Forces on Curved Surfaces, Hydrostatic Forces in Layered Fluids, Buoyancy and Stability, Pressure Distribution in Rigid-Body Motion, Pressure Measurement

3. Integral Relations for a Control Volume

Basic Physical Laws of Fluid Mechanics, The Reynolds Transport Theorem, Conservation of Mass, The Linear Momentum Equation, The Angular-Momentum Theorem, The Energy Equation, Frictionless Flow: The Bernoulli Equation

4. Differential Relations for a Fluid Particle

The Acceleration Field of a Fluid, The Differential Equation of Mass Conservation, The Differential Equation of Linear Momentum, The Differential Equation of Angular Momentum, The Differential Equation of Energy, Boundary Conditions for the Basic Equations, The Stream Function, Vorticity and Irrotationality, Frictionless Irrotational Flows, Some Illustrative Plane Potential Flows, Some Illustrative Incompressible Viscous Flows

5. Dimensional Analysis and Similarity

The Principle of Dimensional Homogeneity, The Pi Theorem, Non-dimensionalization of the Basic Equations

6. Viscous Flow in Ducts

Reynolds-Number Regimes, Internal versus External Viscous Flows, Semi empirical Turbulent Shear, Correlations, Flow in a Circular Pipe, Three Types of Pipe-Flow Problems, Flow in Noncircular Ducts, Minor Losses in Pipe Systems, Multiple-Pipe Systems, Experimental Duct Flows: Diffuser Performance

Mohammad Kazem Moayyedi (PhD)

Department of Mechanical Engineering

University of Qom