MTH737U Fluid Dynamics (Winter 2011)


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Description, Syllabus, Notes, Etc.

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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    (Last updated 26 May 2011)