David Tong Lectures Volume 4: Fluid Mechanics

A Rayleigh-Taylor instability by Megan Davies Wykes

Volume 4: Fluid Mechanics

Take anything in the universe, put it in a box, and heat it up. Regardless of what you start with, the motion of the substance will be described by the equations of fluid mechanics.

You can download the book from your favourite (or least favourite) online retailer:


        Amazon

        C.U.P

        Waterstones (UK)


The table of contents can be downloaded here.



Exercises

The exercises below have been created and curated over many decades by members of the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. The faculty have long had a generous policy of making these examples (and indeed exam questions) publicly available.

The examples sheets come from three fluids courses that we teach in the maths degree which (very) roughly correspond to the first three chapters of the book. In addition, some of the questions come from a course on Mathematical Biology.

  • Chapter 1:   PDF    Inviscid flows.

  • Chapter 2:   PDF    Viscous flows.

  • Chapter 3:   PDF    Waves.

  • Chapter 4:   PDF    Instabilities.


Errata

Nothing yet. But it's just a matter of time.