MTH737U Fluid Dynamics (Winter 2011)
Announcements, Notices, Etc.
- ** REVISION LECTURE, 3pm, Tuesday, 26 Apr 2011, in Maths 203/103 **.
- ** MAKE-UP LECTURE, 11am, Tuesday, 22 Feb 2011, in Maths 203 **.
- in-course MIDTERM, 10am, Tuesday, 1 March 2011 [see below for a
sample exam].
- Module Timetable
TU -- [1] 10:00 in Maths 203 (Lec); [2] 11:00 in Maths 203 (Tut);
[3] 12:00 in Maths 513 (Lec)
TH -- [4] 11:00 in Maths 203 (Lec); [5] 12:00 in Laws G5 (Tut)
Description, Syllabus, Notes, Etc.
- Download the course description/syllabus
in pdf format.
- Download the "math cheat sheet"
in pdf format.
- Download chapter 1
in pdf format.
- Download Prof Su's course notes, helpful for MTH737U, in pdf format.
(** DO NOT
DISTRIBUTE and CAVEAT EMPTOR **)
- Download sample MIDTERM in pdf
format.
- Download recent 'feedback' test in pdf
format.
Exercises [may hand in starred problems for feedback.]
Set 1: Verify vector identities and
gradient/integral theorems, A.1--A.4: A.5* and A.6* in Section A.1
Set 2: 1.1, 1.2, 1.4*, 1.5
Set 3: 2.1, 2.6, 2.7*, 2.8, (2.14 optional)
Set 4: 2.5, 2.6*, (2.12 optional), 2.14
Set 5: 3.1, 3.2, 3.5*, (3.4, 3.6 optional)
Solutions, Hints and Comments for Exercises
Download recent 'feedback' test solution in pdf
format.
Download the solutions to Prob 3.1 in pdf format.
Download the solutions to Probs 3.2, 3.4, 3.5 in pdf format.
General Topics to Understand and Some Thinking Points
Vector and gradient operations, Cartesian tensors and
index notation and material derivative.
Streamline, vorticity and circulation, Bernoulli streamfunction
and point and Rankine vortices.
Derive Eqs. (1.25), (1.27) and (1.29).
Viscosity, Newtonian fluid and characteristic scales and Reynolds
number.
Boundary layer and diffusion of vorticity.
Flow due to impulsively moved boundary and similarity
solution.
Diffusion of vorticity for flow bounded at the top and
separation of variable (p.41).
Simple model of a boundary layer and asymptotic
matching (p.269).
Read and understand section 3.1--3.3, 3.5--3.7, 3.9, 3.10 in the
text.
What is a wave? Frequency and wavelength, spectrum and
superposition.
Dispersion relation and phase and group velocities.
More suggestions/pointers may appear -- check this page
periodically.
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Astronomy Unit
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(Last updated 26 May 2011)