2.20 ~M a r i n e
H y d r o d y n a m i c s

 

Syllabus Fall 2017


This is a general outline and is subject to change.

Recommended Readings

0. Introduction

1. Basic Equations

  • 1.1 Description of Flow
  • 1.2 Mass & Momentum Conservation
  • 1.3 Transport Theorem
  • 1.4 Continuity Equation
  • 1.5 Euler's Equation
  • 1.6 Newtonian Fluids
  • 1.7 Navier-Stokes Equation
  • 1.8 Boundary Conditions
  • 1.9 Body Forces, Gravity
2. Similitude
  • 2.1 Dimensional Analysis
  • 2.2 Similarity Parameters
3. Ideal (Inviscid) Fluid Flow
  • 3.1 Introduction
  • 3.2 Vorticity, Kelvin's Th.
  • 3.3 Potential Flow
  • 3.4 Bernoulli's Equation
  • 3.5 Boundary Conditions
  • 3.6 Stream Function
  • 3.7 Simple Potential Flows
  • 3.8 Method of Images
  • 3.9 D'Alembert's Paradox
  • 3.10 Lift Due to Circulation
  • 3.11 Unsteady Motion, Added Mass
  • 3.12 Slender-Body Approx.*
4. Surface Waves
  • 4.1 Introduction
  • 4.2 Small Amplitude Waves
  • 4.3 Plane Progressive Waves
  • 4.4 Wave Dispersion
  • 4.5 Mass Transport
  • 4.6 Superposition
  • 4.7 Group Velocity, Wave Energy
  • 4.8 2D Ship Waves, Wave Resistance
  • 4.9 3D Ship Wave Pattern*
  • 4.10 Wave Forces on a Body
4. Real (Viscous) Fluid Flow
  • 5.1 Flow Past a Sphere
  • 5.2 Drag on a Flat Plate
  • 5.3 Plane Couette Flow
  • 5.4 Poiseuille Flow
  • 5.5 Unsteady Flow over a Flat Plate
  • 5.6 Laminar Boundary Layer
  • 5.7 Turbulent Flow, Reynolds' Stress
  • 5.8 Turbulent Boundary Layer
5. Model Tests
  • 6.1 Steady Flow
  • 6.2 Unsteady Forces
  • 6.3 Drag on a Ship Hull
7. Lifting Surfaces
  • 7.1 Lift and Drag of a Foil*
  • 7.2 2D Lifting Surfaces, Linearized theory, Analysis & Design Probs.*
  • 7.3 3D Lifting Surfaces*
  • 7.4 Propellers*

                   * Advanced Topics ( if time permits )