Approximate Calculation of Multidimensional Solidification by Using Conduction Shape Factors

When solidification occurs with conduction controlling and small temperature differences present, quasi-steady models become advantageous. In this paper, the use of conduction shape factors to predict freezing rate and heat transfer in various two-dimensional objects is investigated. Simple equations for calculating these quantities are obtained, and compared to existing results. The use of shape factors to model solidification with time-dependent boundary conditions is illustrated.