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Multiphase transport, flirting with the limits of continuum models

Presented by: 
Christian Huber Georgia Institute of Technology
Thursday 18th February 2016 - 14:30 to 15:30
INI Seminar Room 1
Co-authors: Salah Faroughi (Georgia Tech), Hamid Karani (Georgia Tech), Andrea Parmigiani (ETH)

Multiphase flows can be found in a wide variety of Earth and Planetary Systems. Solving for mass, momentum and energy conservation becomes difficult because they are regulated by dynamic interfaces between the different components. Here, we will discuss the merits of continuum (spatially averaged) and discrete scale (granular where interfaces are explicitly treated) approaches in the light of different applications ranging from Planetary Sciences (water on Mars), to volcanology (bubble dynamics and rheology) and finally hydrology (heat transfer in porous media). The goal of the presentation is to discuss the necessity to develop a framework consistent with the granular scale (downscaling) as well as different elements of approaches for upscaling (effective medium theory, fractional derivatives).
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons