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)

R1

Basic Tools - Calculus Review (PDF)

R2

Control Volume (PDF)

R3

Dimensional Analysis and Similitude (PDF)

R4

Ideal Flow (PDF)

R5

Quiz 1 Review and P-Flow (PDF)

R6

P-Flow Summary and Added Mass (PDF)

R7

Added Mass Tensor (PDF)

R8

Quiz 2 Review and Boundary Layers (PDF)

R9

Laminar Boundary Layers and Model Testing (PDF)

R10

Forces on Cylinder, Labs, and Linear Water Waves (PDF)

R11

Dispersion Relation (PDF)

R12

Problem Solving for Lifting Surfaces (PDF)

A

High-Speed Free-Surface Impact Hydrodynamics (PDF)

B

Surface Wave Kinematics and Added Resistance of Ship in Waves (PDF)

Supplemental Problems (PDF)

Problem Set 1 (PDF)

Problem Set 2

(PDF)

(PDF)

Problem Set 3

(PDF)

(PDF)

Problem Set 4

(PDF)

(PDF)

Problem Set 5

(PDF)

(PDF)

Problem Set 6 (PDF)

Problem Set 7

(PDF)

(PDF)

Problem Set 8

(PDF)

(PDF)

Problem Set 9

(PDF)

(PDF)

Problem Set 10

(PDF)

(PDF)

Problem Set 11

(PDF)

(PDF)

Problem Set 12 (PDF)

Problem Set 13

(PDF)

(PDF)

Problem Set 14

(PDF)

Challenge 1 (PDF)

Challenge 2 (PDF)

Challenge 3 (PDF)