“…Theories developed for multiphase flows have been applied to study a variety of problems of interest in fluvial hydraulics (Drew, 1975;McTigue, 1981;Cao et al, 1995;Greimann et al, 1999;Wu and Wang, 2000;Greimann and Holly, 2001;Hsu et al, 2003;Hsu et al, 2004;Liu and Singh, 2004;Fu et al, 2005;Jha and Bombardelli, 2008;Toorman, 2008;Jha and Bombardelli, 2010;Chen et al, 2011;Jha and Bombardelli, 2011;Zhong et al, 2011) and these theories show exciting potential in considering the complicated interphase interactions and their impacts on erosion, transport, and sedimentation of sediment grains. Two-fluid models for two-phase flows have attracted considerable interest from researchers of fluvial hydraulics because of the models' rigorous theoretical formulation.…”