This research will study droplet transient heat conduction equation in the presence of evaporation (moving boundary effects) using analytical techniques.
This equation will be solved using two different methods. Firstly this solution will be presented in the integral form. This will eventually allow us to reduce the solution of the differential equation for droplets to the solution of the Volterra type integral equation. The second approach will be based on the presentation of the solution in the form of converging series.
These solutions will be applicable for arbitrary droplets, but the effects they describe will be particularly important for small droplets when the changes of their radii during the time step are comparable with the values of their radii. The project will investigate the applicability of both these solutions into the customised in-house version of the KIVA-2 CFD code. At least one of these solutions will be implemented into this code. The applicability of the previously obtained analytical solution for transient heating of a spherical body for implementation into the new version of the KIVA-2 code will be investigated. It is expected that this implementation will be possible at least in some limited cases (small droplets).
Professor Sergei Sazhin
Mr Ivan Gusev
Professor Morgan Heikal
Professor Fabrice Lemoine (France)
University of Nancy (France)