We look at dynamics of capillary-bridge-bound solid particles under external flow. The aim is to investigate kinetic states of these particles as bridges break and reform and their effect on rheological properties. The project involves the development of robust and accurate numerical models based on the lattice Boltzmann method, together with their implementation through scientific computing.

The vast majority of flows in our daily experience are turbulent and yet we see patterns all around us. Ordered arrays of cloud streets, (turbulent) wind-driven waves with distinct wavelengths, and---for a more exotic example---Jupiter's red spot all testify to the ability of ordered patterns to arise and persist amidst turbulent fluctuations. How such large scale patterns emerge and persist is a fundamental open question; from a practical perspective, one would like to know how turbulent fluctuations affect the large-scale patterns.

This project will address problems involving fluid flow and mass transfer in the human body, specifically in the lungs and gut. We are interested in using mathematical models to understand how inhaled particles (allergens, pathogens, drugs) mix and spread through the lung airways, how nutrients are taken up by the intestines, and other similar biomedical problems. These questions require a multi scale modelling approach to deal with the wide range of spatial and temporal scales across which flows occur in the human body.

Drying of drops is also a multi-step process, involving surface evaporation and transfer of moisture from the bulk to the surface, and the transfer of heat from the ambient to the drop. The drop size and morphology depend on the bulk transport and surface drying, and the enhancement of convective transport processes due to turbulent fluctuations.