“…However, this model does not take into account the phase change process. On the other hand, three-equation models have been proposed heuristically, for example, in Amarasooriya and Theofanous (1991), Berthoud and Valette (1994), Likhanskii et al (1997), Park et al (2000). As was emphasized by Quintard et al (1997), heuristic approaches lead to intuitive macroscopic models and this may lead to erroneous interpretations since these models are not derived from pore-scale transport equations through some scaling-up theory.…”