Dynamics of a droplet in an inclined constricted capillary channel (Analysis of snap-off of a droplet)

How easy will it be - to maintain a ‘constant flow rate’ – by having a control over the change of droplet location and shape – that subsequently leads to a variation of ‘pressure drop’?

In addition to the details on the ratio of Reynolds Number to the Capillary Number, how could we ensure that the ‘pressure drop’ applied remains sufficiently large enough – in order to deform the drop sufficiently – to squeeze through a (hydrophilic) constriction - so that the droplet will not get trapped in the pore space?

Feasible to couple the above snap-off mechanism (mobilization of a trapped discontinuous phase) with the ‘dynamics of emulsion drops’?

Also, with varying affinities in different regions, will it remain feasible to take into account by a relatively simplified two-dimensional model that can differentiate the mixed-wet (the surfaces that may contain both water-wet and oil-wet patches, which connect across the pore space) and fractional-wet conditions (the surfaces that may either be water-wet or oil-wet) - associated with a heterogeneous wettability?

In order to simulate the above dynamics – associated with irregular micro-channels, how precisely will be able to simulate the interface topography and the water/oil/gas flow behavior in a petroleum reservoir – with a simplified two-dimensional model; or, in the absence of using a detailed three-dimensional model (that can effectively characterize the droplet deformation) – so that the pressure field can be calculated precisely by analyzing the flow field?

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