Whole-field density measurements by `synthetic schlieren'

This paper outlines novel techniques for producing qualitative visualisations of density ̄uctuations and for obtaining quantitative whole-®eld density measurements in two-dimensional density-strati®ed ̄ows. These techniques, which utilise image processing technology, are much simpler to set up than the classical schlieren and interferometry methods, and provide useful information in situations where shadowgraph is of little or no value. Moreover, they may be set-up to analyse much larger domains than is feasible with the classical approaches, and do not require high quality optical windows in the experimental apparatus. Ultimately the greatest strength of these techniques is the ability to extract accurate, quantitative measurements of the density ®eld. Application of these techniques is illustrated by an internal wave ®eld produced by an oscillating cylinder. Recent theoretical advances for this classical problem make it the ideal test bed. Results are presented for both a circular and a square cylinder oscillating vertically in a linear strati®cation. Further aspects of the techniques are illustrated by considering thermal convection from a hand and ̄ow over an obstacle towed through a density strati®ed ̄uid.