Shallow fluid flows

Information for 2009.

This is a postgraduate course given in the second term of the academic year and it is part of the Taught Course Centre in Pure and Applied Mathematics. Lectures are timetabled for 2pm on Mondays and 12pm on Fridays.

Handouts, Example sheets.

1. Handouts
   • Syllabus
   • Governing equations for fluid flow
   • Dimensional analysis for pipe flow
   • Dimensional analysis for atomic explosions
   • Dam-break solutions with a tailwater
   • Non-linear standing waves on a sloping beach
   • Gravity currents in porous media with retention
2. Example sheets and solutions
   • Sheet 1: Dimensional Analysis.
   • Sheet 2: The shallow water equations, shocks and dambreak flow.
   • Sheet 3: Inertial gravity currents.
   • Sheet 4: Viscous gravity currrents.
   • Assignments

Andrew Hogg School of Mathematics University of Bristol University Walk Bristol. BS8 1TW

Telephone: +44 (0)117 928 7987 Fax: +44 (0)117 928 7999 Email:a.j.hogg@bristol.ac.uk