electiveHQ

The course aims to provide the student with the basic mathematical background and tools to model fluid motion. The course will develop a physical understanding of fluid flows that can be observed in a variety of situations in everyday life. Examples include: the lift on a aircraft wing, flow of water in a river, bubbles rising in a liquid, a jet engine exhaust.ContentThe idea of a continuum. Pathlines, streamlines and streaklines. Material derivative. Relative motion. Reynolds transport theorem, Continuity equation, Momentum equation, Stress tensor. Newtonian fluids: Navier Stokes equation, Energy equation, Exact solutions, Vorticity equation and Kelvin's theorem, Streamfunction, velocity potential and Bernoulli's equation. 2D inviscid flow and complex potential, Circular cylinder and drag and lift, Boundary layer equation and Blasius flow, Turbulent flow.