Marine Hydrodynamics (13.021)

Lecture Notes

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)