A probabilistic method for field solutions in two-phase flows

Solid particle motion and related transport phenomena in two phase flow are random processes in space and time. A deterministic method can describe only partially these processes. In this paper, the random fluctuations of the flow parameters are modeled and a probabilistic computational method for two-phase flow is presented. The probabilistic governing equations have been discretized in space using a finite volume method, and then solved by applying the Neumann expansion method. This last method is time efficient and its convergence can be guaranteed even for large fluctuations. A liquid-solid particle mixture flow in a circular pipe is taken as an example. Computational results illustrate the merit of the probabilistic approach for the prediction of two phase flow phenomena