C5.7 Topics in Fluid Mechanics - Material for the year 2019-2020

2019-2020
Lecturer(s): 
Prof. Andrew Fowler
General Prerequisites: 

B5.3 Viscous Flow and B5.4 Waves and Compressible Flow are both highly recommended, Viscous Flow being the more essential of the two. It will be necessary that you will have previously studied some Fluid Dynamics and have an understanding of the derivation of the Navier-Stokes equations and their associated boundary

Course Term: 
Michaelmas
Course Lecture Information: 

16 lectures

Course Weight: 
1.00 unit(s)
Course Level: 
M

Assessment type:

Course Overview: 

The course will expand and illuminate the `classical' fluid mechanics taught in the third year B5.3 and B5.4 courses, and illustrate its modern application in a number of different areas in industry and geoscience.

Course Synopsis: 

Thin film flows. Droplet dynamics. Foam drainage. Porous media.

Convection, boundary layer theory. Double-diffusive convection, plumes, turbidity currents.

Rotating flows, geostrophy and quasi-geostrophy, baroclinic instability.

Two-phase flows. Two-fluid models. Density wave oscillations.

Reading List: 
  1. L.G Leal, Advanced Transport Phenomena,(Cambridge University Press, Cambridge, 2007).
  2. J.S. Turner, Buoyancy Effects in Fluids, (Cambridge University Press, Cambridge, 1973).
  3. A.C. Fowler, Mathematical Models in the Applied Sciences, (Cambridge University Press, Cambridge, 1997).
  4. J. Pedlosky, Geophysical Fluid Dynamics, 2nd ed. (Springer-Verlag, New York, 1987).
Further Reading: 
  1. G.K. Batchelor, H.K. Moffatt and M.G. Worster (eds.), Perspectives in Fluid Dynamics (Cambridge University Press, Cambridge, 2000).