The usual two-fluid models for disperse two-phase flows feature an ave
rage disperse-phase stress in the disperse-phase momentum equation. It
is shown that it is possible to derive an expression for this quantit
y without considering the detailed nature of the constitutive relation
of the disperse phase. The result, which is more general than other r
elations of the same nature, is illustrated with a number of examples.
It is also shown that a new formulation of the averaged equations rec
ently proposed by the authors is equivalent to the more usual one.