Synopsis

Derivation of Navier Stokes equations for an incompressible Newtonian fluid.

Vorticity. Energy equation and dissipation. Exact solutions for unidirectional flows. Jeffery-Hamel flow. Dimensional analysis, Reynolds number. Derivation of equations for high and low Reynolds number flows.

Derivation of Prandtl s boundary layer equations. Similarity solutions. Discussion of separation and application to the theory of flight.

Slow streaming flow. Nonuniformity of the Stokes approximation. Lubrication theory including flow in thin films and Hele-Shaw cells. Flow in porous media. Introduction to flow stability.