Module Overview

Fluid Mechanics

This module presents the basic and more advanced principles of fluid mechanics and illustrates them by application to a variety of problems of scientific interest. The aim of this module is to introduce the fundamental aspects of both classic and modern fluid mechanics and to provide techniques for solving specific classes of fluid flow problems. The module is suitable for stage 4 learners of the DT205/DT220 course or equivalent.

Module Code

MATH 4803

ECTS Credits


*Curricular information is subject to change


Properties of fluids, dimensional reasoning, the continuum model, Newtonian fluids.


Fundamental Equations:

Conservation laws, the rate of strain matrix. Mathematical methods – vector differential calculus.


Flow Kinematics:

Acceleration of a fluid particle, flow lines, vorticity.


Solutions of the Navier Stokes Equations:

Couette flow, flow in a pipe, flow down an inclined plane.


Slow Viscous Flows:

The bi-harmonic equation and some solutions of it.


Water Waves:

Surface gravity waves, sinusoidal waves on deep water, particle paths for travelling waves.

Lectures are primarily used to impart module content to the learner, Problem solving sessions are designed to encourage learners to work both individually and in groups.

Module Content & Assessment
Assessment Breakdown %
Formal Examination100