The Heat Balance Integral Technique is developed to solve for the surface melting and ablation rates when a material is subjected to a high heat flux. Ejection of melt layer material is included in the analysis since external forces (electric and magnetic) are prominent for applications such as fusion plasma disruptions. The Integral Technique has been found to be relatively fast and accurate as compared with finite difference formulations which makes it an ideal candidate for inclusion in larger plasma simulation codes. Molten material ejection was determined to dramatically increase surface erosion during a fusion disruption.