The dimensional and dimensionless model formulating the melting and freezing processes in the melting and freezing rotating device (MFRD) are presented. The heat transfer process between the two concentric cylinders with D/ro >0.01 may be considered as that between two parallel plates with a distance of D between them. The theoretical analysis about solidification or melting of a slab at a constant boundary temperature, which is greater or lower than the melting point, is conducted. The theoretical and numerical analysis of the Quasi-Steady state with the moving phase boundaries of the melting and freezing processes in the dimensionless system are performed. Moreover, the properties in MFRD are analyzed. The use of MFRD in the aerospace is discussed.