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2010/1 Module Catalogue
 Module Code: ENG2071 Module Title: FLUID MECHANICS 2 (MMA)
Module Provider: Mechanical, Medical & Aero Engineering Short Name: ENG2071
Level: HE2 Module Co-ordinator: HAYDEN P Dr (M, M & A Eng)
Number of credits: 10 Number of ECTS credits: 5
Module Availability

Year long

Assessment Pattern

Unit(s) of Assessment



Weighting Towards Module Mark (%)



Unseen examination






Autumn Semester Coursework (2 x MCT + assignment)






Spring Semester Class Test






Qualifying Condition(s)



An overall mark of 40% is required to pass the module.



Module Overview

Material in fluid mechanics common to Civil, MMA and Chemical Engineering is delivered in the 1st Semester.



Internal flows in pipes and through pumps considering effects of fluid friction, momentum and energy losses in fittings. A range of pumps will be described and how they can be matched to system requirements. This will include non-dimensional analysis methods, laminar and turbulent flows and pipe system analysis.



Mechanical and Aero Engineering specific material in fluid mechanics is delivered in the 2nd semester. 





Knowledge of the external flow around immersed bodies, such as cars and aeroplanes, is important for surface drag and heat transfer calculations. Analysis will be carried out for the simplest external surface, that of a flat plat at zero incidence to the approach flow with zero pressure gradient. Students will also be introduced to compressible flows where fluid density changes become significant, due to the high flow velocities, associated with many aircraft.



Completion of the progress requirements of Level HE1.  Completion of ENG1006 or equivalent.

Module Aims

To provide students with:

  • a clear understanding of internal flow behaviour and the calculation of energy losses and forces


  • a knowledge of different types of fluid pump and the ability to match the pump to the pipe system


·         the ability to calculate the  drag and heat transfer for flow over a flat plate

·        a knowledge of compressible flow behaviour in converging and diverging nozzles.




Learning Outcomes

Upon successful completion of the module, you will  be able to:



  • explain the origin of momentum forces in flowing systems and be able to evaluate forces and energy losses


  • describe the parabolic velocity profile in a pipe in viscous flow and the shape of the velocity profile in turbulent flow


  • explain the technique of dimensional analysis and be able to apply Buckingham’s Pi Theorem to engineering situations


  • describe several kinds of pump and how they work


  • design, or evaluate the performance of, pump and pipework systems


  • compare the physics behind laminar and turbulent flow over a flat plate and how that affects the velocity profile shape and the shear stress at the plate surface.


  • explain concepts associated with the integral-type analysis for momentum and thermal boundary layers, and basic heat exchanger analysis for incompressible flow


  • Contrast the differences between compressible and incompressible fluid flows.
Module Content

Dr Alan Packwood (7 lectures)


Momentum equation


·         Impact of jets


·         Force on a pipe bend


·         Force on an orifice plate


·         Energy loss in a sudden expansion


Viscous (laminar flow)


  • Poiseuille flow in a pipe


Dimensional analysis


Buckingham’s P theorem


  • Poiseuille flow written in dimensionless form


Scale models (Re, Fr, Ma)


  • Examples of empirical use (e.g. Cf vs Re and CD vs Re)


Professor Rex Thorpe (7 lectures)


·         Turbulent flow


·         Film model and 1/7th power law for time averaged flow in pipes


·         Friction factors and pressure gradients in pipes (effect of roughness; Moody chart)


·         Hydrodynamic resistance of sudden expansions, valves, bends, tees etc.


·         Discussion of flat plates, including variation of shear stress with distance from leading edge. No discussion of integral-momentum equation


·         Pumps and turbines


·         Types of pump and turbine


·         Head/flow rate characteristics (esp. centrifugal pumps)


·         Pumps in series (includes mention of NPSH) and parallel


·         Dimensional analysis of pumps (but not vector analysis)


·         Pump and pipe-work calculations


·         Balancing pumps against hydrodynamic resistances (but not pipe networks or multi-reservoir problems).


·         Introduction to boundary layers on a flat plate




Dr Paul Hayden (20 lectures)


1   Boundary layer flow over a flat plate (incompressible)


·         Reference to continuity and Navier-Stokes equations as exact equations


·         Momentum integral equation for zero pressure gradient.


·         Polynomial forms for velocity distributions, boundary conditions


·         Approximate analyses for boundary layer development


2   Thermal energy integral equation (incompressible):


·         Polynomial forms for temperature distributions, boundary conditions


·         Approximate analyses for heat transfer.


·         Parallel and counter-flow heat exchangers, log mean temperature difference.


3   Compressible inviscid flow


·         General description of sub and supersonic flow


·         Bernoulli's momentum equation, stagnation pressure, energy and stagnation temperature.


·         Isentropic flow in convergent and divergent ducts, and choking.


·         Qualitative description of over and under-expansion, and shock waves


Methods of Teaching/Learning

1st. Semester:


14 hours of lectures,


5 hours of tutorial sessions


2 coursework multiple choice tests (1/2 hour each)


6 hours of work on marked exercise


21 hours of independent learning and examination preparation.



2nd. Semester: 


21 hours of lectures (including tutorial examples)


1 hour for a class test


27 hours of independent learning and examination preparation.



2 hour written exam




Total student learning time 100 hours.


Selected Texts/Journals

Selected Texts/Journals


Essential Reading



Required Reading



Recommended Reading


Douglas JF, Gasiorek JM and Swaffield JA, Fluid Mechanics, 4th ed, Prentice Hall, 2001. (ISBN 05824 14768)


Massey, B,  Mechanics of Fluids, 8th ed, Taylor & Francis, 2006. (ISBN 0-415-36206)


Monson, Young and Okiishi, Fundamentals of Fluid Mechanics, 5th ed, Wiley, 2006.

Cengel and Turner, Fundamentals of Thermal Fluid Sciences.  2nd ed McGraw Hill.



Last Updated
1 October 2010