%0 Journal Article %A Prosperetti, A. %A Ichiki, K. %A Zhang, Q. %D 2006 %I Begell House %N 2 %P 135-154 %R 10.1615/MultScienTechn.v18.i2.20 %T SYSTEMATIC APPROACH TO CLOSURE RELATIONS FOR DISPERSE PARTICLE FLOWS: INTER-PHASE FORCE %U https://www.dl.begellhouse.com/journals/5af8c23d50e0a883,46ff0fde314d72fe,1e7939d16119e1c3.html %V 18 %X The closure of the equations obtained by formal averaging of the microscopic laws of motion for particles in a fluid remains an important open problem in the theory of disperse flows. This paper gives a form for the particle and fluid momentum equations expressed in terms of computable quantities and derives a closure relation for the inter-phase force. It is shown that, in the derivation, it is essential to address the spatially non-uniform situation to find a valid relation and a method to carry out ensemble averaging for this situation is described. %8 2006-04-25