Module Code - Title:
MA4617
-
INTRODUCTION TO FLUID MECHANICS
Year Last Offered:
2025/6
Hours Per Week:
Grading Type:
N
Prerequisite Modules:
MS4404
Rationale and Purpose of the Module:
Change of title for existing module MA4607 INTRODUCTION TO APPLIED MATHEMATICAL MODELLING IN CONTINUUM MECHANICS. Content remains the same. Update of prerequisite module and lab hour added.
To provide an introduction to the basic concepts of the mathematical modelling of fluid mechanics.
Syllabus:
Continuum theory, balance of momenta, constitutive laws, elementary viscous flow, aerofoil theory, vortex motion, Navier-Stokes equations, very viscous flow, thin film flow, boundary layer theory.
Learning Outcomes:
Cognitive (Knowledge, Understanding, Application, Analysis, Evaluation, Synthesis)
1. Demonstrate an understanding of the fundamentals of fluid mechanics: time derivatives, vorticity, continuity equation, ideal fluids.
2. Solve simple problems in viscous flow using the Navier Stokes equations. Demonstrate an understanding of the Reynolds number.
3. Demonstrate an understanding of the stress tensor and be able to derive the Navier Stokes equations.
4. Demonstrate an understanding of the fundamentals of slow viscous flow, uniqueness and reversibility and be able to solve generic problems in thin film flow.
5. Demonstrate an understanding of the basic concepts of boundary layer theory.
6. Demonstrate an understanding of the basic concepts behind engineering aerofoil theory.
Affective (Attitudes and Values)
none
Psychomotor (Physical Skills)
none
How the Module will be Taught and what will be the Learning Experiences of the Students:
Normal lecture/tutorial mode with some homework assignments.
Research Findings Incorporated in to the Syllabus (If Relevant):
Prime Texts:
D.J. Acheson (1990)
Elementary Fluid Dynamics
, Oxford Applied Mathematics and Computing Science Series
Other Relevant Texts:
D.J. Tritton (1988)
Physical Fluid Dynamics
, Oxford Science Publications
A.R. Paterson (1983)
A First Course in Fluid Dynamics
, Cambridge University Press
G.K. Batchelor (2000)
An Introduction to Fluid Dynamics
, Cambridge Mathematical Library
M. van Dyke (1982)
Album of Fluid Motion
, Parabolic Press
R.I. Tanner (2000)
Engineering Rheology
, Oxford Engineering Science Series
L.A. Segel (2007)
Mathematics Applied to Continuum Mechanics
, Classics in Applied Mathematics
Programme(s) in which this Module is Offered:
BSFIMAUFA - FINANCIAL MATHEMATICS
BSMAPHUFA - MATHEMATICS AND PHYSICS
MSMAMOTFA - MATHEMATICAL MODELLING
BSMSCIUFA - MATHEMATICAL SCIENCES
BSECMSUFA - Economics and Mathematical Sciences
BSSCCHUFA - Science Choice
Semester(s) Module is Offered:
Autumn
Module Leader:
Michael.Vynnycky@ul.ie