Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2009-12-28
Physics
Condensed Matter
Soft Condensed Matter
20 pages, 4 figures. Submitted to Soft Matter
Scientific paper
A model has been developed to describe the collision and possible coalescence of two driven deformable drops in the Hele-Shaw cell. The interdependence between hydrodynamic effects and interfacial deformations is characterised by a film capillary number: Ca_f = (\mu v/\sigma)(R_o/h_o)^(3/2) as revealed by an analytic perturbation solution of the governing equations for a system with continuous phase viscosity \mu, interfacial tension \sigma, drop radius R_o, characteristic relative velocity v and separation h_o between the drops. Numerical solutions of the model demonstrate the importance of the full dynamic history of the interacting drops in determining stability or coalescence. The geometry of the Hele-Shaw cell allows for the possibility of using the model to infer the time dependent force between colliding drops by measuring their separation.
Chan Derek Y. C.
Klaseboer Evert
Manica Rogerio
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