From these general equations, some theorems are derived from specific circumstances such as incompressible fluids or inviscid fluids. Basic solutions to, and properties of, the governing equations are explored for the case of viscous, but incompressible, fluids. A continuation of Fluid Mechanics III in which basic solutions and properties of the governing equations are explored for ideal-fluid flow and for compressible fluid flow. This is a first level course in turbulent flows following an exposure to basic undergraduate fluid mechanics. It deals with the governing equations of motion, statistical representation of the turbulent field and describes fundamental shear flows such as jets, wakes and boundary layers.
Emphasis is placed on the physical aspects of the motion.
There will be discussion of experimental and computational techniques. Ethier Finite difference and finite element methods in fluid mechanics are presented, with particular emphasis on incompressible flows and flows involving heat transfer. A brief survey of numerical linear algebra is followed by a discussion of stability, accuracy and convergence criteria. Model elliptic, parabolic and hyperbolic problems are then considered. A working knowledge of a computer language is required.