Understanding Fluid Flow takes a fresh approach to introducing fluid dynamics, with physical reasoning and mathematical developments inextricably intertwined. The 'dry' fluid dynamics described by potential theory is set within the context of real viscous flows to give fundamental insight into how fluids behave. The book gives a flavor of theoretical, experimental and numerical approaches to analyzing fluid flow, and implicitly develops skills in applied mathematical modeling of physical systems. It is supplemented by movies that are freely downloadable.