Module information on this degree can be found below, separated by year of study.

The module information below applies for the current academic year. The academic year runs from August to July; the 'current year' switches over at the end of July.

Students select optional courses subject to rules specified in the Mechanical Engineering Student Handbook,  for example at most three Design and Business courses. Please note that numbers are limited on some optional courses and selection criteria will apply.

Fluid Mechanics 3

Module aims

• To provide an understanding of Fluid Mechanics from a general and fundamental viewpoint
• To outline an approach for solving fluid mechanical problems
• To provide an understanding of the properties of turbulence
• To outline possible methods behind the modelling of turbulence
• To provide an introduction to energy and work in fluid dynamics for incompressible, sub-sonic and trans-sonic compressible flows
• To outline the nature and properties of normal and oblique shocks.

ECTS units:    5

Learning outcomes

On successfully completing this module, students will be able to:

• Describe the physical features of a flow in terms of the rate of strain, rotation and vorticity
• Describe the physical features of turbulence, and the basis for models of it
• Derive the fundamental differential conservation equation of mass
• Manipulate the tensor forms of the conservation equations of mass, momentum energy and energy
• Simplify the fundamental differential conservation equations with appropriate assumptions and find, where appropriate, an exact solution
• Identify the dimensionless groups that determine the behaviour of fluid flow from the fundamental differential conservation equations
• Describe the fundamental features of fluid flow from an analysis of numerial solutions

Module syllabus

• Review of elemental approach to incompressible flow: external flows, boundary layers
• Compressible form of the governing equations: continuity, Navier-Stokes, energy equations, simple analytic solutions (Couette, Poiseulle, Stokes, creeping flow), similarity solutions
• Order of magnitude analysis: scaling, dimensionless groups and their use in analysing and simplifying the equations of fluid motion
• Turbulence: length and time scales of turbulence; effects, properties and transport of turbulence in flows; modelling the effects of turbulence
• Compressible flow: Speed of sound; Mach number; Euler Equation; Normal and Obliques Shock waves; Flow in a duct of varying area; Convergent-Divergent nozzles.

Pre-requisites

ME1-hFMX, ME2-hFMX

Teaching methods

• Duration: 21 weeks (Autumn and Spring terms)
• Lectures: 1 x 1h per week
• Tutorials:  1 x 1h per week

 Summary of student timetabled hours Autumn Spring Summer Lectures 10 11 — Tutorials 10 11 — Total 44 Expected private study time 2-3hrs per week plus exam revision

Assessments

 Written examinations: Date (approx.) Max. mark Pass mark Fluid Mechanics (3hr) A handbook of Data and Formulae will be provided. This is a CLOSED BOOK Examination April/ May 200 n/a

• An introduction to fluid dynamics

Batchelor, G. K., (George Keith)

First Cambridge Mathematical Library ed., Cambridge : Cambridge University Press

• An Introduction to Fluid Dynamics / [electronic resource] G. K. Batchelor.

Batchelor, G. K.,

Cambridge University Press,

• Transport phenomena /

Bird, R. Byron

Revised second ed., John Wiley & Sons Inc

• Vectors, Tensors and the Basic Equations of Fluid Mechanics.

Aris, Rutherford.

Dover Publications

• Vectors, tensors, and the basic equations of fluid mechanics

Aris, Rutherford.

New York : Dover

• A first course in turbulence

Tennekes, H., (Hendrik) author.

Cambridge, Massachusetts : MIT Press; Piscataqay, New Jersey : IEEE Xplore

• A first course in turbulence

Tennekes, Hendrik.

Cambridge Mass. ; London : M.I.T. Press

• Fluid flow : a first course in fluid mechanics

4th ed., Upper Saddle River, N.J. : Prentice Hall ; London : Prentice Hall International

• Fluid mechanics

Richardson, S. M.

Hemisphere

Erwin Kreyszig author ; Erwin Kreyszig author

10th edition, international student version., Hoboken : John Wiley Inc

• Fundamentals of aerodynamics

Anderson, John D., Jr. (John David), 1937-, author.

Fifth edition in SI units., Singapore : McGraw-Hill

• Modern compressible flow : with historical perspective

Anderson, John David.

3rd ed., McGraw-Hill

• Fundamental mechanics of fluids

Currie, Iain G.

4th ed., Boca Raton, FL : Taylor & Francis

• Elementary fluid dynamics

Acheson, D. J., author.

Oxford : Clarendon Press

• Physical fluid dynamics

Tritton, D. J., author.

New York : Van Nostrand Reinhold Company

• Fundamental mechanics of fluids [electronic resource]

Currie, I. .G.

3rd ed., Marcel Deckker