Dispersion of a Passive Scalar in Helical Pipe Flow

This thesis will investigate the advection and diffusion of a passive scalar in helical pipes. By assuming that the curvature and torsion are small (equivalent to small Dean number) and the Reynolds number is moderate, one can use a closed form approximation, due to Dean (1927) and Germano (1982), for the induced recirculation. Using a simulation developed this summer, the problem will be investigated numerically with a range of localized initial conditions.