Konvektif ortamlarda damlacik buharlaşmasinin analitik ve sayisal olarak incelenmesi

The significance of Stefan flow lies in its impact on the behaviour of evaporating droplets in convective environments, particularly in scenarios involving high-temperature evaporation of fuel droplets relevant to spray combustion. We examine this phenomenon from both numerical and analytical perspectives. An axisymmetric multiphase front-tracking method is utilized to simulate the evaporation of a deformable droplet in a convective environment, and the local Sherwood number is computed on the droplet for the Reynolds number up to 200. Simulations are also performed for a solid sphere using a sharp-interface immersed boundary method. A novel analytical model is derived based on the solution of the laminar boundary layer on a sphere subjected to local evaporation velocity. The results are compared with the existing evaporation models widely used in spray combustion simulations as well as the new model. We demonstrate that at high evaporation rates, the boundary layer-based models can accurately predict the local Sherwood number only until the separation point. However, the generalization of these models for the wake region result is a considerable error. It is argued that for this region a new correction factor should be derived.