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The 9th International Conference on Computational and Experimental Methods in Multiphase and Complex Flow took place in Tallinn, Estonia, organised by the Wessex Institute and the University of New Mexico, represented respectively by Professors Carlos A Brebbia and Peter Vorobieff. The meeting, which was very successful, as all previous conferences in the series, attracted delegates from many different countries specialised in a wide range of scientific disciplines, which reflects the complexity and importance of the subject matter. The challenges of multiphase and complex flow problems naturally arise from their basic physics. When materials with different states or phases move together, the volume averaged bulk property of the mixtures is generally insufficient to describe its behaviour because phase interactions, phase change, chemical reactions and interfacial processes play an important role. The same applies to situations where the state or phase of materials in the flow is the same, but their physical and chemical properties differ. To provide a physically faithful description of a multiphase system, additional equations and boundary conditions must be provided to the classical Navier-Stokes equations, to account for phase interaction, moving boundaries, diffusion and other effects. It is also necessary to consider a wide range of spatial and temporal scales, from those characterising the complete system to those associated, for instance, with microscopic droplets or bubbles embedded in the fluid. The peer-reviewed papers presented at the conference cover a wide variety of topics. They are distributed throughout the world in digital as well as paper format, and an electronic version of the papers is archived in the eLibrary of the Wessex Institute (http://www.witpress.com/elibrary) where they are easily available to the international scientific community.