This paper outlines how the virtual adjunct method (VAM) of Garcia, Clyne and Prates, describing heat flow in unidirectional solidification, may be applied to splat cooling processes. The model allows finite thermal resistance across the mould-metal interface and leads to explicit solutions which are mathematically exact. Examples are presented showing how the equations may be used to investigate the relationships between melt-substrate properties, operating parameters and local cooling conditions, with particular reference to the treatment of vitrification. A brief outline is given of how closely real systems are likely to conform to the boundary conditions under which the model must be applied. It is concluded that, while numerical treatments may be required if a given system is to be accurately modelled, the VAM equations should prove useful for general examinations of splat cooling characteristics and in assessing the expected effects of changes in design and operational features.