2.20 | Spring 2005 | Graduate

Marine Hydrodynamics (13.021)

Calendar

The calendar below provides information on the course’s lecture (L) and recitation (R) sessions.

SES # TOPICS KEY DATES

L1

Introduction

Fluids vs. Solids

Liquids vs. Gases

Problem set 1 out

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

Problem set 1 due

Problem set 2A out

R1

Basic Tools - Calculus Review

L3

Stress Tensor

Mass and Momentum Conservation

Problem set 2B out

L4

Newtonian Fluids

Navier-Stokes Equations

Boundary Conditions

Surface Tension

Body Forces - Gravity

Problem sets 2A and 2B due

Problem set 3A out

R2

Control Volume

Similitude

L5

Dimensional Analysis

Problem set 3B out

L6

Similarity Parameters

Using Governing Equations and Boundary Conditions

Using Physical Arguments

Importance

Problem sets 3A and 3B due

Problem set 4A out

R3

Dimensional Analysis and Similitude

Ideal Fluid Flow

L7

Governing Equations and Boundary Conditions

Circulation - Kelvin’s Theorem

Vorticity

Problem set 4B out

L8

Properties of Vortex Structures

Bernoulli Equation for Steady, Ideal, and Rotational Flow

Problem sets 4A and 4B due

Problem set 5A out

R4

Ideal Flow

Challenge problem 1 out

L9

Vorticity Equation

Potential Flow

Problem set 5B out

R5

Quiz 1 Review and P-Flow

Problem sets 5A and 5B due

Quiz 1

Challenge problem 1 due

Problem set 6 out

L10

Governing Equations and Boundary Conditions for P-Flow

Linear Superposition for P-Flow

Laplace Equation

Simple Potential Flows

Problem set 6 due

Problem set 7A out

P-Flow tutorial out

L11

Method of Images

D’Alembert’s Paradox

Lift Due to Circulation

Problem set 7B out

P-Flow homework 1 out

L12

Lifting Surfaces

Potential Flow and Kutta Condition

Thin Wing, Small Angle of Attack

Problem sets 7A and 7B due

P-Flow homework 1 due

Problem set 8A out

R6

P-Flow Summary and Added Mass

L13

Unsteady Motion - Added Mass

General 6 Degrees of Freedom Motions

Problem set 8B out

L14

Properties of Added-Mass Coefficients

Slender Body Approximation

Buoyancy Effects Due to Accelerating Flow

Problem sets 8A and 8B due

Problem set 9A out

R7

Added Mass Tensor

Real Fluid Effects

L15

Form Drag

Problem set 9B out

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

Problem sets 9A and 9B due

Problem set 10A out

R8

Quiz 2 Review and Boundary Layers

Quiz 2

Problem set 10B out

L17

Laminar Boundary Layers

Steady Flow over a Flat Plate

Flow Over a Body of General Geometry

Problem set 10A due

Problem set 11A out

R9

Laminar Boundary Layers and Model Testing

Problem set 10B due

L18

Turbulent Flow - Reynolds Stress

Turbulent Boundary Layer Over a Smooth Flat Plate

Problem set 11B out

L19

Turbulent Boundary Layers: Roughness Effects

Model Testing

Problem set 11A due

Problem set 12 out

Water Waves

R10

Forces on Cylinder, Labs, and Linear Water Waves

Problem set 11B due

L20

Exact (Nonlinear) Governing Equations for Surface Gravity Waves

Linearized (Airy) Wave Theory

Characteristics of Linear Plane Progressive Waves

Problem set 12 due

Problem set 13A out

R11

Dispersion Relation

L21

Superposition of Linear Plane Progressive Waves

Wave Energy

Energy Propagation - Group Velocity

Energy Conservation Equation

Steady Ship Waves, Wave Resistance

Problem set 13B out

L22

Wave Forces on a Body

Problem sets 13A and 13B due

Challenge problems 2 and 3 out

R12

Problem Solving for Lifting Surfaces

Challenge problems 2 and 3 due

Problem set 14A (optional)

Final Exam

Course Info

As Taught In
Spring 2005
Level
Learning Resource Types
Simulations
Exams
Lecture Notes