Department of Chemical
Engineering
Imperial College London
Third Year
Fluid Mechanics
Professor Omar K. Matar
Director of Undergraduate Studies
Room 210
Tel: 0207 594 9618
Email: o.matar@imperial.ac.uk
Lecture 0: Introduction
Objective
• To introduce the 3rd year course and look back at 2nd year
Fluid Mechanics course.
Contents
• Course objectives
• Course outline
• Course materials, teaching and learning methods
• Assessment methods
• Pre-requisites from the 2nd year course
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Course objectives
• To introduce the concept of streamfunction, vorticity, and
potential.
• To solve problems in Stokes (slow) and potential (fast) flows.
• To introduce concepts in two-phase flows.
• To solve problems in two-phase flows.
• To introduce rheological models for non-Newtonian fluids.
• To solve flow problems involving non-Newtonian fluids.
• To introduce the concepts of flow instability and models for
turbulence.
• To solve problems involving turbulent flows.
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Course outline
1.
Streamfunctions, vorticity, and potential
(1 lecture)
2.
Stokes and potential flow
(1 lecture)
3.
Two-phase flows
(3 lectures)
4.
Non-Newtonian fluids: Rheology
(1 lecture)
5.
Non-Newtonian flow: Example problems
(1 lectures)
6.
Turbulence: Reynolds-averaging and the ‘closure’ problem
(1 lecture)
7.
Turbulence: ‘Mixing length’ theory
(1 lectures)
8.
Turbulence: Example problems
(1 lecture)
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Course materials, Teaching
and Learning Methods
Course materials
• Problem sheets:
– available on Blackboard; problems discussed during lectures.
• Notes:
– can be downloaded from Blackboard.
Teaching and learning methods
• Lectures:
– 102-hour lectures, every Friday in the Spring Term.
• Private study:
– Working on problem sheets.
– Reading course notes and text books.
– Revising for test and exams.
• Tutorials:
– Discussion of lectures and problem sheets run by PGs.
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Assessment Methods
Problem sheets
• 7 sheets (3 of them are for a revision of FM2) with questions to
review your own progress.
Exam
• Transfer Processes III (3 hours) – shared with Particle Engineering
and Separation Processes II.
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Textbooks
No textbook is required for this course but one may be helpful.
Recommend list:
• Richardson (yes, that Richardson!), Fluid Mechanics, Hemisphere.
• Wilkes, Fluid Mechanics for Chemical Engineers, Prentice-Hall
• Denn, Process Fluid Mechanics, Prentice-Hall.
• Massey, Mechanics of Fluids, van Nostrand.
• Fox & McDonald, Introduction to Fluid Mechanics, Wiley.
• Streeter & Wylie, Fluid Mechanics, McGraw-Hill.
Available from the Library. Try to find one that helps you.
Consult me should you decide to buy one.
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Pre-requisites from the 2nd year course
• Derivation of Navier-Stokes (NS) equations using vector calculus
and the divergence theorem: see FM2 lecture notes.
• Solution of the NS equations for unidirectional flows: see problem
sheet 1.
• How to make the NS dimensionless, what is Re for some example
flows: see problem sheet 2.
• Self-similar solutions of the NS equations, using the product and
chain rule of differentiation, and separation of variables: see problem
sheet 3.
See ‘Revision of FM2’ notes on BB and basic FM equations
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