A.
Prosperetti K.
Ichiki Q.
Zhang ABSTRACT 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.
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