Lecture Notes

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SES # TOPICS LECTURE NOTES
L1 Introduction

Fluids vs. Solids

Liquids vs. Gases
(PDF)
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
(PDF)
L3 Stress Tensor

Mass and Momentum Conservation
(PDF)
L4 Newtonian Fluids

Navier-Stokes Equations

Boundary Conditions

Surface Tension

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

Using Governing Equations and Boundary Conditions

Using Physical Arguments

Importance
(PDF)
Ideal Fluid Flow
L7 Governing Equations and Boundary Conditions

Circulation - Kelvin's Theorem

Vorticity
(PDF)
L8 Properties of Vortex Structures

Bernoulli Equation for Steady, Ideal, and Rotational Flow
(PDF)
L9 Vorticity Equation

Potential Flow
(PDF)
L10 Governing Equations and Boundary Conditions for P-Flow

Linear Superposition for P-Flow

Laplace Equation

Simple Potential Flows
(PDF)
L11 Method of Images

D'Alembert's Paradox

Lift Due to Circulation
(PDF)
L12 Lifting Surfaces

Potential Flow and Kutta Condition

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

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

Slender Body Approximation

Buoyancy Effects Due to Accelerating Flow
(PDF)
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
(PDF)
L17 Laminar Boundary Layers

Steady Flow over a Flat Plate

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

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

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

Linearized (Airy) Wave Theory

Characteristics of Linear Plane Progressive Waves

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

Wave Energy

Energy Propagation - Group Velocity

Energy Conservation Equation

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