Enterprise Asset Management (EAM) is a broad term for software that provides a way to view company-owned assets holistically, where the goal is to control and proactively optimize operations for quality and efficiency. According to some published literature, knowledge is currently lacking regarding how to model EAM processes so they can be made ready for computerized deployment. This paper applies a new modeling technique built on systems of things that flow, to model EAM processes systematically. This flow-based modeling method is applied to a case study in a real enterprise that uses IBM Maximo. The resulting model points in a promising direction for EAM.