Fluids and Solids (MTH-2C2Y-A-YEAR)
- Unit Code MTH-2C2Y
- School School of Mathematics
- Credit Value 20
- Tutor(s) Dr Mark Cooker
- Overview
- Teaching
Overview
BEFORE TAKING THIS MODULE YOU MUST TAKE MTH-1C24
IN TAKING THIS MODULE YOU CANNOT TAKE ENV-2A21
(a) Hydrostatics, compressibility. Kinematics: velocity, particle path, streamlines. Continuity, incompressibility, streamtubes. Dynamics: Material derivative, Euler's equations, vorticity and irrotational flows. Velocity potential and streamfunction. Bernoulli's equation for unsteady flow. Circulation: Kelvin's Theorem, Helmholtz's theorems. Basic water waves.
(b) An introduction to continuum physics, linear elasticity as an example. The strain and stress tensors. Conservation of mass, linear momentum, angular momentum. Equilibrium equations, symmetry of stress tensor. Generalised Hooke's law. Bulk, shear and Young's moduli, Poisson's ratio. Strain energy. Boundary-value problems, Bending and torsion of a rod. Plane P and S waves.

