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Marine Hydrodynamics (13.021) >> Content Detail



Lecture Notes



Lecture Notes

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SES #TOPICSLECTURE NOTES
L1Introduction

Fluids vs. Solids

Liquids vs. Gases
(PDF)
Basic Equations
L2Description of a Flow

Flow Visualization - Flow Lines

Concept and Consequences of Continuous Flow

Material/Substantial/Total Time Derivative

Langrangian and Eulerian Time Derivative
(PDF)
L3Stress Tensor

Mass and Momentum Conservation
(PDF)
L4Newtonian Fluids

Navier-Stokes Equations

Boundary Conditions

Surface Tension

Body Forces - Gravity
(PDF)
Similitude
L5Dimensional Analysis(PDF)
L6Similarity Parameters

Using Governing Equations and Boundary Conditions

Using Physical Arguments

Importance
(PDF)
Ideal Fluid Flow
L7Governing Equations and Boundary Conditions

Circulation - Kelvin's Theorem

Vorticity
(PDF)
L8Properties of Vortex Structures

Bernoulli Equation for Steady, Ideal, and Rotational Flow
(PDF)
L9Vorticity Equation

Potential Flow
(PDF)
L10Governing Equations and Boundary Conditions for P-Flow

Linear Superposition for P-Flow

Laplace Equation

Simple Potential Flows
(PDF)
L11Method of Images

D'Alembert's Paradox

Lift Due to Circulation
(PDF)
L12Lifting Surfaces

Potential Flow and Kutta Condition

Thin Wing, Small Angle of Attack
(PDF)
L13Unsteady Motion - Added Mass

General 6 Degrees of Freedom Motions
(PDF)
L14Properties of Added-Mass Coefficients

Slender Body Approximation

Buoyancy Effects Due to Accelerating Flow
(PDF)
Real Fluid Effects
L15Form Drag(PDF)
L16Drag on a Very Streamlined Body

Known Solutions of the Navier-Stokes Equations

Boundary Layer Growth Over an Infinite Flat Plate for Unsteady Flow
(PDF)
L17Laminar Boundary Layers

Steady Flow over a Flat Plate

Flow Over a Body of General Geometry
(PDF)
L18Turbulent Flow - Reynolds Stress

Turbulent Boundary Layer Over a Smooth Flat Plate
(PDF)
L19Turbulent Boundary Layers: Roughness Effects

Model Testing
(PDF)
Water Waves
L20Exact (Nonlinear) Governing Equations for Surface Gravity Waves

Linearized (Airy) Wave Theory

Characteristics of Linear Plane Progressive Waves

Particle Orbits (PDF)
(PDF)
L21Superposition of Linear Plane Progressive Waves

Wave Energy

Energy Propagation - Group Velocity

Energy Conservation Equation

Steady Ship Waves, Wave Resistance
(PDF)
L22Wave Forces on a Body(PDF)

 








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