%0 Journal Article %A Buyevich, Yu. A. %D 1999 %I Begell House %N 1 %P 49-71 %R 10.1615/InterJFluidMechRes.v26.i1.40 %T Field Conservation Equations for Polydisperse Suspensions %U https://www.dl.begellhouse.com/journals/71cb29ca5b40f8f8,489131dd7a14510e,2d4d0ea73f07273e.html %V 26 %X A formulation of the field conservation equations for incompressible multiphase disperse systems is developed based on volume averaging. The results differ from generally used previous formulations in the representation of the stress fields. The mean stresses that affect mean flow of the dispersed phase components are shown to be completely independent of stresses that influence the continuous phase mean flow. However, the continuous phase stresses determine the interphase interaction forces that appear in all momentum conservation equations. A consistent account of polydispersivity and collisional effects is provided, thus opening the way for proper constitutive formulations, and extensions to more complex situations including compressibility. %8 1999-02-01