 # Syllabus

## Introduction

The Concept of a Fluid

The Fluid as a Continuum

Dimensions and Units

Properties of the Velocity Field

Flow Patterns: Streamlines, Pathlines and Streaklines

Properties of a Fluid

Viscosity

Newtonian versus Non-Newtonian Fluids

Description and Classification of Fluid Motions

## Pressure Distribution in a Fluid

Basic Equations

Hydrostatic Force on a Plane Submerged Surface

Hydrostatic Force on Curved Submerged Surfaces

Hydrostatic Forces on a Submerged bodies (Buoyancy Force)

The Stability of Submerged and Floating Bodies

Fluids in a Rigid-body Motion

## Integral Relations for a Control Volume

Basic Physical Laws of Fluid Mechanics

The Reynolds Transport Theorem (RTT)

The Conservation of Mass

The Linear Momentum Equation

The Angular-Momentum Theorem

The Energy Equation

Frictionless Flow: The Bernoulli Equation

## Differential Relations for a Fluid Particle

The Differential Equation of Mass Conservation (Continuity)

The Acceleration Field of a Fluid (Material Derivative)

Motion of a Fluid (Kinematics)

Fluid Rotation/Vorticity/Circulation

Fluid Deformation

Momentum Equations (Navier-Stokes Equations)

Some Illustrative Incompressible Viscous Flows

Euler`s Equation

Euler`s Equation in Streamline Coordinates

Bernoulli Equation

Stream Function

Frictionless Irrotational Flows (Potential Flow)

Elementary Plane Flows: Uniform Flow, Source/Sink, Doublet, Vortex

Superposition of Elementary Plane Flows

Some Illustrative Plane Potential Flows

## Dimensional Analysis and Similarity

Introduction

The Principle of Dimensional Homogeneity

The Pi Theorem

Common Dimensionless Groups in Fluid Mechanics

Nondimensionalization of the Basic Equations

Flow Similarity and Model Studies

## Viscous Flow in Ducts

Reynolds-Number Regimes

Characteristics of Turbulent Flows

Reynolds` Time-Averaging Concept

The Logarithmic-Overlap Law

Flow in Circular Pipe

Laminar- and Turbulent-Flow Solution

The Moody Chart

Noncircular Ducts; The Hydraulic Diameter

Minor Losses in Pipe Systems

Multiple-Pipe Systems