Undergraduate Course: Fluid Mechanics (Chemical) 4 (CHEE10004)
Course Outline
School  School of Engineering 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 10 (Year 4 Undergraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  This course builds on previous treatment of fluid mechanics in SCEE08003 Fluid Mechanics 2 and CHEE09013 Heat, Mass and Momentum Transfer 3. It presents fundamental concepts in fluid mechanics as a basis for chemical engineering design. Simplifications which allow analytical solutions to the 3D Navier Stokes and continuity equations are explored, including low Reynolds number flows and inviscid, irrotational flow. The use of inviscid flow coupled with boundary layer theory to model high Re flows is presented, together with current ideas on the nature of turbulence, including turbulence spectra and decay of turbulence. Turbulence models are used to predict dispersion in mixed flows and free jets. Models for predicting pressure drops in twophase, liquidgas flows are discussed. 
Course description 
Lectures
Lect 1: Basics of fluid mechanics, continuum mechanics, reference frames, coordinate systems
Lect 2 & 3: Governing equations of flow: Continuity and NavierStokes equation
Lect 4: Analytical solutions of simple flow problems
Lect 5: Similarity, scaling and dynamic similarity in flows
Lect 6: Fundamental properties of flows: Vorticity and circulation
Lect 7: Fundamental properties of flows: Streamfunctions
Lect 8: Fundamental properties of flows: Potential flow (CauchyRiemann analysis)
Lect 9: Fundamental properties of flows: Drag and lift
Lect 10: Boundary layer theory: Prandtl's boundary layer equations
Lect 11: Boundary layer theory: von Kármán momentum integral momentum balance
Lect 12: Turbulent flows: Basics, boundary layer transition and Reynold's averaged NavierStokes equations (RANS)
Lect 13: Turbulent flows: Turbulent channel flow example, closure laws, regions of boundary layer and laws of the wall
Lect 14: Turbulent flows: Energy of turbulence and its decay
Lect 15: Turbulent flows: The energy cascade, Kolmogorov's hypotheses and the lengthscale and energy spectra
Lect 16: Turbulent flows applications: Free turbulent jets  selfstudy
Lect 17: Turbulent flows applications: Mixing in stirred tanks  selfstudy
Lect 18: Twophase flows: Gasliquid flow regimes in horizontal and vertical pipes
Lect 19: Twophase flows: Homogeneous and Separated flow models for twophase flows
Lect 20: Twophase flows: LockhartMartinelli method for determining twophase pressure drop
Tutorials
Tutorial 1: Introduction and crucial basics (based on Fluids 2 and HMMT 3)
Tutorial 2a: Governing equations of flow: Analytical solutions
Tutorial 2b: Governing equations of flow: Dynamic similitude, strain rate tensor and vorticity
Tutorial 2c: Governing equations of flow: Streamfunctions, velocity potentials, drag and lift
Tutorial 3: Boundary layer theory
Tutorial 4a: Turbulent flows: Reynolds averaging, closure relations and laws of the wall
Tutorial 4b: Turbulent flows: Grid turbulence and decay to Kolmogorov length scales
Tutorial 4c: Turbulent flows: Laws of the wall and free turbulent jets
Tutorial 5: Mixing in stirred tanks and twophase flows

Information for Visiting Students
Prerequisites  None 
High Demand Course? 
Yes 
Course Delivery Information

Academic year 2015/16, Available to all students (SV1)

Quota: None 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 33,
Formative Assessment Hours 1,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
40 )

Assessment (Further Info) 
Written Exam
100 %,
Coursework
0 %,
Practical Exam
0 %

Additional Information (Assessment) 
Two hour written examination at the end of the academic year (100%).
For Semester 1 Visiting Students only, 100% coursework.

Feedback 
Not entered 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S2 (April/May)   2:00   Resit Exam Diet (August)   2:00  

Academic year 2015/16, Partyear visiting students only (VV1)

Quota: None 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 20,
Seminar/Tutorial Hours 20,
Formative Assessment Hours 1,
Summative Assessment Hours 10,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
47 )

Assessment (Further Info) 
Written Exam
0 %,
Coursework
100 %,
Practical Exam
0 %

Additional Information (Assessment) 
Two hour written examination at the end of the academic year (100%).
For Semester 1 Visiting Students only, 100% coursework.

Feedback 
Not entered 
No Exam Information 
Learning Outcomes
On successful completion of the course, students should be able:
a) to demonstrate an understanding of the relevance of each of the terms in the Navier Stokes Equations and to simplify the equations on the basis of a given flow geometry and Reynolds number. By choosing appropriate boundary conditions, they should be able to solve such simplified equations or set up the equations for solution.
b)to define and make use of the Velocity Potential (phi) and Stream Function (psi) for the solution of Euler's Equation of inviscid flow. They should be able to decide whether phi or psi will exist for a given flow.
c) to describe some of the effects of turbulence, to discuss theories put forward to render turbulence amenable to analysis and to use dimensional analysis along with physical constraints to analyse and predict the decay of turbulence energy. They should appreciate that turbulent motion has associated with it a spectrum of energies and frequencies. They should be able to estimate Prandtl's mixing length, based on the mean velocity profile and measurements of turbulence intensity and to determine the Kolmogorrof length and velocity scales. They should be able to comment on the relevance of these scales of turbulence in relation to fluid mixing operations, such as that occurring in stirred tanks or free turbulent jets.
d) to describe the range of flow regimes encountered in gasliquid flows and should understand the basis of homogeneous and separated flow models for predicting pressure drops in gasliquid flows.

Reading List
1. Tritton D.J. Physical Fluid Dynamics Clarendon Press, Oxford. 2nd ed 1988.
2. Welty, Wicks & Wilson, Fundamentals of Momentum, Heat and Mass transfer, Wiley 1984.
3. Fox, McDonald & Pritchard, Introduction to Fluid Mechanics, Wiley 6th ed 2004.
4. Holland F.A. and Bragg R, Fluid Flow for Chemical Engineers, Edward Arnold 2nd ed. 1995.
5. Bird, Stewart and Lightfoot, Transport Phenomena, Wiley 1960.
6. Advanced Mechanics of Fluids, Rouse H (Wiley 1959).
7. Fluid Mechanics and Transfer Processes, Kay J.M. and Nedderman R.M, (C.U.P. 1985).
8. Essentials of Fluid Dynamics, Prandtl L. (Blackie & Son 1952).
9. Boundary Layer Theory, Schlichting H. (McGraw Hill 6th ed 1968).
10. Turbulence Phenomena, Davies J.T. (Acad. Press).
11. Turbulence, Hinze J.O. (McGraw Hill 2nd ed).
12. Turbulence (Classical Papers on Statistical Theory), Friedlander S.K (New York Interscience).
13. The Structure of Turbulent Shear Flow, Townsend A.A. (C.U.P.)
14. Mixing in the Process Industries, Harnby, Edwards and Nienow (Butterworths 1991).
15. Multimedia Fluid Mechanics DVDROM, 2nd Edition, Edited by G. M. Homsy, (C.U.P.)
16. Mass transfer operations, Treybal (McGraw Hill).
17. Understanding fluid flow, Gray Worster (CUP)
18. Flow regimes, Hewitt, Chapter 2 in Handbook of Multiphase Systems (Hemisphere  out of print)
19. Onedimensional twophase flow, Wallis (McGraw Hill)
20. Computational methods for fluid dynamics, JH Ferziger and M Peric (Springer)

Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  fluid mechanics,fluid dynamics,laminar flows,turbulence,multiphase flows,navierstokes equation 
Contacts
Course organiser  Dr Prashant Valluri
Tel: (0131 6)50 5691
Email: prashant.valluri@ed.ac.uk 
Course secretary  Miss Emily Rowan
Tel: (0131 6)51 7185
Email: Emily.Rowan@ed.ac.uk 

