MTH3362

Fluid dynamics

(SCI)

Dr Tom Hall

6 points + Three 1-hour lectures and an average of two 1-hour support classes per week + Clayton + Second Semester + Prerequisites: MTH2010 and MTH2032 or equivalent + Prohibitions: ASP3021, ATM3062, MAT3121, MAT2102, MAT3102, ATM3132, ATM3172

Synopsis: The basic equations of fluid dynamics; Cartesian tensors, the viscous stress tensor; equations of state; linearisation, sound and internal gravity waves; phase and group velocity; non-linear evolution; shocks; computational methods; Bernoulli's equation; vorticity and circulation; Kelvin's circulation theorem; rotational and irrotational flow; two dimensional homogenous incompressible flow; viscous effects and boundary layers; separation from a ball, with applications to cricket, golf and baseball; flow in a rotating reference frame, geostrophic flow.

Assessment: Examination (3 hours): 60% + Assignments: 20% + Tests: 20%