| Kronig and Brink published a classic analysis of transport from translating droplets. Their analysis assumed that the bulk of the resistance to transfer was in the droplet phase. It considered the limiting solution as the Peclet number became very large. Their work has been cited in many subsequent studies of droplet transfer. Chapter Three section 3.1 revisits their solution using numerical techniques that were not then available. It was found that only the first mode of their solution is accurate; hence, their solution is accurate at only at large times. In Chapter Three Section 3.2, the transient heat transfer from a droplet with heat generation is investigated. It is assumed that the bulk of the thermal resistance resides in the droplet. Two cases were discussed: low Peclet flows and very high Peclet flows.; As expected, it was found that the temperature rise due to the heat generation was less for high Peclet flows. In addition, the temperature profile responds more quickly for high Peclet flows. This analysis is also applicable to mass transfer with a zero-order reaction.; The system of differential equations that describes this behavior was solved using a semi-analytical method and a Matlab software computer program.; Key words. Spherical Droplet, Interior Problem, High Peclet Number, Creeping Flow. |
