This article reviews the scientific & engineering principles & practices involved in the mathematical modelling of flow & heat transfer phenomena in industrial-scale glass melting, delivery, & forming processes. The approach taken is to highlight characteristic features of flow & heat transfer in each of the three processes, summarise relevant transport & constitutive equations & boundary conditions & illustrate practical applications of mathematical models. The article also describes modelling approaches used for auxiliary processes & phenomena associated with melting, delivery, & forming operations. Modelling of batch melting, electric heating of glass melt, convection due to bubbling, combustion, turbulence, & viscoelasticity are discussed. The paper focuses on one forming process in particular, container & emphasises key technical attributes of forming models. A selection of results is provided to bring out modelling capabilities and limitations. A historical perspective on the development of advanced mathematical models and their industrial applications is also given.
