Department of Ocean Engineering

University of Rhode Island

Narragansett Bay Campus

Narragansett, RI 02882, USA

tel. : (401) 874-6636

fax. : (401) 874-6837

http ://www.oce.uri.edu/~grilli

email : grilli@oce.uri.edu

**Synopsis : **

This course deals with * Marine Hydrodynamics *, i.e., fluid
mechanics in the context of ocean sciences and engineering. Marine
Hydrodynamics studies the motion of water in a marine/ocean environment,
both in natural conditions (i.e., with free surface and bottom boundaries,
shore, waves,...), and possibly containing man-made underwater or floating
structures (i.e., ships, vessels, submarines, offshore structures,
pipelines,...).
The * emphasis * here, however, is on the fluid side.Natural
boundaries or structures are considered as obstacles to or generators of
fluid motion and hydrodynamic pressure is created and applied to the
structures as a reaction to this motion.

**Prerequisites :
**(i) undergraduate Fluid Dynamics course (MCE354 or equivalent)
or graduate fluid course (OCE510 or OCE514); and (ii) ocean wave course
(OCE307, OCE514 or equivalent) or permission of instructor.

**Required textbooks :**

Kundu, P.K. (1990) *Fluid Mechanics.* Academic Press, Inc.

Newman, J.N. (1989) *Marine Hydrodynamics.* The MIT Press, Cambridge,
MA.

**Content :**

The first part of the course deals with both the introduction
of fundamental hydrodynamics topics.
The second part then adresses specialized topics.
Adjustments to this list of content may be made depending on student's
backgrounds and interests.

- Introduction :

Definition of a fluid, tensor/indicial and vector notations. - Motion of a viscous fluid :

Fluid properties. Flow kinematics. Strain and rotation. Forces in a fluid and stress tensor. Equations of mass and momentum conservation. Constitutive equation. Navier-Stokes and Euler equations for Newtonian fluids. Body forces. Boundary conditions. Elementary exact solutions for simple steady and unsteady flows (Couette, Poiseuille,...). - Motion of an inviscid fluid :

Vorticity distribution. Vorticity dynamics. Bernoulli theorem. Kelvin's theorem. - Irrotational motion of an ideal fluid :

Governing equations and boundary conditions. Velocity potential. Stream function. Simple three-dimensional potential flows. Two-dimensional potential flows. Complex potential. Conformal Mapping. - Brief introduction to linear water waves :

Linearized free surface boundary conditions. Plane progressive wave. Finite depth effects. Superposition of waves.

- Moving body in an unbounded fluid :

Pressure force. Added mass. Body mass force. Non-uniform stream. - Floating body dynamics :

Linearized equations of motion. Harmonic body motion in regular waves (diffraction-radiation). Hydrostatics. Added mass and damping. Wave exciting force and moment. Representation of velocity potential (eigenfunctions). Scattering by a vertical cylinder. - Marine boundary layers :

Laminar Boundary Layers in relation to drag forces.

- Effects of earth's rotation on fluid motion
- Introduction to model testing :

Experimental and physical evidence for fluid and body motion. Model testing and dimensional analysis for : water waves, wave forces on stationary bodies and body motions in waves. Steady and unsteady drag forces on plates, spheres, slender and general bodies, ship hulls...

*Part I : introduction to fundamental
hydrodynamics topics *

*Part II : applications of fluid
mechanics in the marine hydroynamics context*

Adjustments to this list of content of Part II will be made depending on student's backgrounds and interests.