Approximate analytical solutions for the solidification of PCMs in fin geometries using effective thermophysical properties

Heat transfer enhancement of phase change materials (PCMs) is essential in order to achieve high charge and discharge powers of latent heat storage systems. The utilisation of highly conductive fins is an effective method to improve heat transfer. In the presented paper, solidification times of two fundamental geometries are examined by analytical modelling and numerical computation. These geometries are the finned plane wall and a single tube which is radial-finned on the outside. The paper describes approximate analytical solutions based on the effective medium approach which include the boundary conditions, as well as material and geometric parameters.