In this paper we present a representation scheme for chemical unit pro
cesses. The representation is based on a topological and a phenomenolo
gical abstraction of the process. The topological abstraction decompos
es the process into control volumes and boundaries. The phenomenologic
al abstraction represents the phenomena in the process using three gen
eral process characteristics, i.e. transport, reaction/generation and
accumulation of mass and energy. For these entities we define a consis
tent set of graphical symbols that will be connected together in a net
work according to the modelers understanding of the process, giving a
representation of the process. We further suggest to employ this repre
sentation in the development of a modeling methodology, where the symb
ols are related to differential and algebraic equations in order to re
present a complete and consistent mathematical model. The methodology
is successfully applied to two industrial processes, a ferromanganese
furnace and an aluminum electrolysis cell. The latter will be used as
an example. Simulations of the aluminum cell focusing on AlF3 dynamics
are included.