Observation and modelling of barrel droplets on vertical fibres subjected to gravitational and drag forces

Extensive experimental investigation of the wetting processes of fibre/liquid systems during air filtration (when drag and gravitational forces are acting) has shown many important features, including droplet extension, oscillatory motion, and detachment or flow of drops from fibres as airflow velocity increases. A detailed experimental study of the aforementioned processes was conducted using glass filter fibres and H2O aerosol, which coalesce on the fibre to form barrel droplets with small contact angles. The droplets were predominantly observed in the Reynolds transition (or unsteady laminar) flow region. The droplet oscillation appears to be induced by the onset of vortexes in the flow field around the droplet as the increasing droplet size increases the Reynolds number. Flow in this region is usually modelled using the classical two-dimensional Karman vortex street, and there exist no 3D equivalents. Therefore to model such oscillation it was necessary to create a new conceptual model to account for the forces both inducing and inhibiting such oscillation. The agreement between the model and experimental results is acceptable for both the radial and transverse oscillations.

Graphical abstractReynolds numbers at which droplet activation (commencement of oscillation—OAOA) and deactivation (cease of oscillation—ODOD) occurs as a function of drop size (b  ). A straight line has been fitted to each data set using linear regression. R2(OA)=0.25R2(OA)=0.25, R2(OD)=0.27R2(OD)=0.27. The two datasets were shown to be significantly different (p=5.2×10−7p=5.2×10−7) using a t  -test (t=−7.28t=−7.28, df=20df=20).Figure optionsDownload full-size imageDownload as PowerPoint slide