An imaging measurement for advection-diffusion velocity of heat and materials

Abstract

An imaging technique to measure advection-diffusion velocity of heat and materials in arbitrary flows, which is based on calculus of variations for the advection-diffusion equation, is proposed in this paper. The estimated results are verified through a variety of numerical and physical tests: numerical advection and diffusion experiments for determining the expected errors, physical heat transfer measurements using Infrared images and water temperature data of ocean surfaces as well as comparisons with PIV measurements.