Analytical solution for inviscid flow inside an evaporating sessile drop

Details Analytical solution for inviscid flow inside an evaporating sessile drop Analytical solution for inviscid flow inside an evaporating sessile drop

2008-07-14

arxiv.org/abs/0807.2070v2

Physical Review E 79, 016301 (2009)

Physics

Fluid Dynamics

Revised version; accepted for publication in Physical Review E

Scientific paper

10.1103/PhysRevE.79.016301

Inviscid flow within an evaporating sessile drop is analyzed. The field equation, E^2(Psi)=0, is solved for the stream function. The exact analytical solution is obtained for arbitrary contact angle and distribution of evaporative flux along the free boundary. Specific results and computations are presented for evaporation corresponding to both uniform flux and purely diffusive gas phase transport into an infinite ambient. Wetting and non-wetting contact angles are considered with flow patterns in each case being illustrated. The limiting behaviors of small contact angle and droplets of hemispherical shape are treated. All of the above categories are considered for the cases of droplets whose contact lines are either pinned or free to move during evaporation.

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