TY - JOUR A2 - Inc, Mustafa AU - Tarzia, Domingo A. PY - 2015 DA - 2015/11/23 TI - Explicit Solutions for the Solomon-Wilson-Alexiades’s Mushy Zone Model with Convective or Heat Flux Boundary Conditions SP - 375930 VL - 2015 AB - We complete the Solomon-Wilson-Alexiades’s mushy zone model (Solomon, 1982) for the one-phase Lamé-Clapeyron-Stefan problem by obtaining explicit solutions when a convective or heat flux boundary condition is imposed on the fixed face for a semi-infinite material. We also obtain the necessary and sufficient condition on data in order to get the explicit solutions for both cases which is new with respect to the original model. Moreover, when these conditions are satisfied, the two phase-change problems are equivalent to the same problem with a temperature boundary condition on the fixed face and therefore an inequality for the coefficient which characterized one of the two free interfaces of the model is also obtained. SN - 1110-757X UR - https://doi.org/10.1155/2015/375930 DO - 10.1155/2015/375930 JF - Journal of Applied Mathematics PB - Hindawi Publishing Corporation KW - ER -