ES3D615 Fluid Mechanics for Mechanical Engineers
Introductory description
ES3D615 Fundamental Fluid Mechanics for Mechanical Engineers
Module aims
The module is part of the suite of core modules for Mechanical Engineering. It builds upon the Fluid Dynamics part of ES2C5 Mechanics and Thermofluids module in Year 2 and prepares students for specialist modules in fluid dynamics in Year 4: ES440 Computational Fluid Dynamics and ES441 Advanced Fluid Dynamics. All Mechanical Engineers require a sound understanding of fluid mechanics. Issues involving aspects of fluid mechanics are involved in the vast majority of engineering problems. This module introduces the elementary principles and concepts and the fundamental theoretical and applied tools required for solving typical problems in mechanical engineering. At the end of the course students should have an understanding of how broad physical principles (conservation of mass, momentum, energy) determine fluid behaviour and lead to mathematical descriptions of key features. Students should be able to utilise the results of such descriptions, together with appropriate modelling, to carry out calculations/estimations of such engineering quantities as pressure, forces (e.g. friction, drag, lift), power requirements, efficiency.
Outline syllabus
This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.
 Introduction (mostly brief revision from fluid dynamics part of ES2C5 module): Continuum
hypothesis, control surface, control volume, Streamlines, Newton's law of viscosity, Non
Newtonian fluids, Reynolds number, hydrostatic pressure.  Conservation principles (in integral and differential form): Mass conservation, momentum
equation, Reynolds transport theorem, 1D energy equation, Euler equation, NavierStokes
equation & its nondimensionalization.  Bernoulli equation: Derivation, limitations, physical interpretation, Flowmeasuring devices.
 Stream function: Continuity equation  existence of stream function to describe flow field;
relationship to streamlines.  Ideal flow: Assumptions, definition of vorticity, velocity potential. Rotational vs. Irrotational
flow, Potential flow theory: mathematical description of incompressible, inviscid, irrotational
flow  Laplace equation. Fundamental solution to Laplace equation, linear superposition,
modelling of bodies in ideal flow (Rankine bodies). Cylinder in uniform flow, cylinder with
circulation in uniform flow, Magnus effect: circulation and lift, Helmholtz vortex theorems,
Principle of lifting aerofoils, KuttaJoukowski theorem.  Internal viscous flows: Laminar and turbulent pipe flows. Application of laminar flow – Darcy’s
law, Velocity profiles, shear stress, wall friction, pressure gradient. Effect of wall roughness; Moody chart.  Boundarylayer flows: Limitations of ideal flow  concept of viscous boundary layer. Momentumintegral equation, displacement and momentum thickness. Laminar and turbulent boundary layers; velocity profiles, skinfriction drag. Modelling of slenderbody drag.
 Transition, Turbulence, Kolmogorov’s theory of turbulence and energy spectrum/energy cascade (very brief introduction only), separation and wakes: Mechanisms for boundarylayer transition. Separation and wake drag; aerofoil stall. Drag coefficients for bluff bodies; dynamic similarity. Strategies for drag reduction.
 Compressible flows: flow regimes (subsonic, transonic, supersonic, ultrasonic flows), Mach number, oblique shock waves and expansion fans, areavelocity relation, Laval nozzle.
 Rotating flows: Coriolis force, effects of Coriolis force (Taylorcurtains, TaylorProudman theorem).
 Computational methods: Partial differential equations (classification scheme: elliptic, parabolic, hyperpolic). Solution strategies (finite differences, finite volumes, finite elements, method of characteristics), illustrate basic principle of finitedifference method in an example.
Learning outcomes
By the end of the module, students should be able to:
 Critically evaluate the importance and role of fluid mechanics within the Mechanical Engineering profession, consolidate and advance existing knowledge of fluidic systems;
 Communicate how broad physical principles (consideration of mass, momentum, energy) are applied in the solution of complex fluidic problems;
 Determine fluid behaviour in complex situations, and devise mathematical descriptions to communicate key features;
 Distinguish between differing fluid based phenomena and demonstrate ability to abstract solutions;
 Devise appropriate modelling and carry out calculations/estimations of such engineering quantities as pressure, forces [e.g. friction, drag, lift, power requirements, efficiency.];
 Apply complex numerical skills to the solution of fluid mechanics problems.
Indicative reading list
The main recommended textbook option are:
(1) Potter, M.C., Wiggert, D.C., Ramadan, B.H., 2017, Mechanics of Fluids (5th Edition),
Cengage Learning, Stamford. ISBN 9781305637610.
(2) White, F.M., 2016, Fluid Mechanics (8th Edition), McGrawHill, New York. ISBN
9789814720175.
(3) Douglas, J.F., Gasiorek, J.M., Swaffield, J.A., Jack, L.B., 2011, Fluid Mechanics (6th Edition,
or latest edition whenever new editions become available), Prentice Hall, Pearson
Education Limited, Harlow, UK.
Subject specific skills
 Ability to conceive, make and realise a component, product, system or process
 Ability to develop economically viable and ethically sound sustainable solutions
 Ability to be pragmatic, taking a systematic approach and the logical and practical steps necessary for, often complex, concepts to become reality
 Ability to seek to achieve sustainable solutions to problems and have strategies for being creative and innovative
 Ability to be risk, cost and valueconscious, and aware of their ethical, social, cultural, environmental, health and safety, and wider professional engineering responsibilities
Transferable skills
 Numeracy: apply mathematical and computational methods to communicate parameters, model and optimize solutions
 Apply problem solving skills, information retrieval, and the effective use of general IT facilities
 Communicate (written and oral; to technical and nontechnical audiences) and work with others
 Plan selflearning and improve performance, as the foundation for lifelong learning/CPD
 Exercise initiative and personal responsibility, including time management, which may be as a team member or leader
 Awareness of the nature of business and enterprise in the creation of economic and social value
 Overcome difficulties by employing skills, knowledge and understanding in a flexible manner
 Ability to formulate and operate within appropriate codes of conduct, when faced with an ethical issue
 Appreciation of the global dimensions of engineering, commerce and communication
 Be professional in their outlook, be capable of team working, be effective communicators, and be able to exercise responsibility and sound management approaches.
Study time
Type  Required 

Lectures  30 sessions of 1 hour (20%) 
Other activity  11 hours (7%) 
Private study  109 hours (73%) 
Total  150 hours 
Private study description
Guided Independent Learning 109 hours
Other activity description
10 hours example classes (5 x 2 hour sessions)
1 hour example class (Revision) just prior to exam
Costs
No further costs have been identified for this module.
You must pass all assessment components to pass the module.
Students can register for this module without taking any assessment.
Assessment group B2
Weighting  Study time  

Online Examination  100%  
2 X 1 HR QMP ~Platforms  QMP

Feedback on assessment
Model solutions to past papers.
Support through advice and feedback hours.
Prerequisites
To take this module, you must have passed:
Postrequisite modules
If you pass this module, you can take:
 ES44015 Computational Fluid Dynamics
 ES4E415 Fuels and Combustion
Courses
This module is Core for:
 Year 3 of UESAH310 BEng Mechanical Engineering
 Year 3 of UESAH315 BEng Mechanical Engineering
 Year 4 of UESAH314 BEng Mechanical Engineering with Intercalated Year
 Year 3 of UESAH311 MEng Mechanical Engineering

UESAH316 MEng Mechanical Engineering
 Year 3 of H315 Mechanical Engineering BEng
 Year 3 of H316 Mechanical Engineering MEng
 Year 4 of UESAH317 MEng Mechanical Engineering with Intercalated Year
This module is Core optional for:
 Year 3 of UESAH115 MEng Engineering with Intercalated Year

UESAH317 MEng Mechanical Engineering with Intercalated Year
 Year 3 of H317 Mechanical Engineering with Intercalated Year
 Year 4 of H317 Mechanical Engineering with Intercalated Year
This module is Optional for:
 Year 3 of UESAH113 BEng Engineering
 Year 3 of UESAH114 MEng Engineering
 Year 4 of UESAH115 MEng Engineering with Intercalated Year
 Year 1 of TESAH341 Postgraduate Taught Advanced Mechanical Engineering

UESAH11L Undergradaute Engineering (with Intercalated Year)
 Year 3 of H11L Engineering (with Intercalated Year)
 Year 4 of H11L Engineering (with Intercalated Year)
This module is Option list A for:
 Year 4 of UESAH111 BEng Engineering with Intercalated Year

UESAH112 BSc Engineering
 Year 3 of H112 Engineering
 Year 3 of H112 Engineering