Diffusion-driven flow in three dimensions

Stratification of fluids can occur through either temperature or salinity variations. When temperature is varied, a stably stratified fluid is one in which cooler, denser fluid is lower than warmer fluid. If such a fluid is incident on an insulating, inclined surface, the cooler fluid will flow up that surface. This phenomenon is termed 'diffusion-driven flow'. This thesis extends the current understanding of diffusion-driven flow by considering a variety of problems that vary in three spatial dimensions. These problems are addressed with a combination of numerical solutions, and analytical solutions found using asymptotic techniques.