Lecture Notes

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L1 Introduction

Fluids vs. Solids

Liquids vs. Gases
Basic Equations
L2 Description of a Flow

Flow Visualization - Flow Lines

Concept and Consequences of Continuous Flow

Material/Substantial/Total Time Derivative

Langrangian and Eulerian Time Derivative
L3 Stress Tensor

Mass and Momentum Conservation
L4 Newtonian Fluids

Navier-Stokes Equations

Boundary Conditions

Surface Tension

Body Forces - Gravity
L5 Dimensional Analysis (PDF)
L6 Similarity Parameters

Using Governing Equations and Boundary Conditions

Using Physical Arguments

Ideal Fluid Flow
L7 Governing Equations and Boundary Conditions

Circulation - Kelvin's Theorem

L8 Properties of Vortex Structures

Bernoulli Equation for Steady, Ideal, and Rotational Flow
L9 Vorticity Equation

Potential Flow
L10 Governing Equations and Boundary Conditions for P-Flow

Linear Superposition for P-Flow

Laplace Equation

Simple Potential Flows
L11 Method of Images

D'Alembert's Paradox

Lift Due to Circulation
L12 Lifting Surfaces

Potential Flow and Kutta Condition

Thin Wing, Small Angle of Attack
L13 Unsteady Motion - Added Mass

General 6 Degrees of Freedom Motions
L14 Properties of Added-Mass Coefficients

Slender Body Approximation

Buoyancy Effects Due to Accelerating Flow
Real Fluid Effects
L15 Form Drag (PDF)
L16 Drag on a Very Streamlined Body

Known Solutions of the Navier-Stokes Equations

Boundary Layer Growth Over an Infinite Flat Plate for Unsteady Flow
L17 Laminar Boundary Layers

Steady Flow over a Flat Plate

Flow Over a Body of General Geometry
L18 Turbulent Flow - Reynolds Stress

Turbulent Boundary Layer Over a Smooth Flat Plate
L19 Turbulent Boundary Layers: Roughness Effects

Model Testing
Water Waves
L20 Exact (Nonlinear) Governing Equations for Surface Gravity Waves

Linearized (Airy) Wave Theory

Characteristics of Linear Plane Progressive Waves

Particle Orbits (PDF)
L21 Superposition of Linear Plane Progressive Waves

Wave Energy

Energy Propagation - Group Velocity

Energy Conservation Equation

Steady Ship Waves, Wave Resistance
L22 Wave Forces on a Body (PDF)