Solving Laplace's equation in a tube: how hard can it be?
Fluids and Materials Seminar
4th May 2023, 2:00 pm – 3:00 pm
Fry Building, Fry 2.04
The title problem arises in classical fluid dynamics, in steady-state diffusion and in wave problems.
It is almost trivial when there is nothing in the tube apart from flowing fluid, but it becomes
much more interesting when the tube contains an obstacle.
A related problem is: if I send a wave down a tube, how much of it is reflected by the obstacle?
I shall discuss properties of the solution, and methods for approximating the solution.