Ilegbusi, OJMat, MD2019-08-012019-08-0120001062-0656https://hdl.handle.net/11480/5782This paper reviews the modeling of multiphase flow phenomena in liquid-solid materials processes. Three mathematical models are discussed, namely, two-phase, continuum-mixture and multi-domain models. Scaling and analytical solutions of the governing equations are given for some simplified situations. A linear stability analysis is also presented on convection in the mushy region in alloy solidification.eninfo:eu-repo/semantics/closedAccessReview Article83188217WOS:000167625700001Q4