Inviscid flow within an evaporating sessile drop is analyzed. The fieldequation, E^2(Psi)=0, is solved for the stream function. The exact analyticalsolution is obtained for arbitrary contact angle and distribution ofevaporative flux along the free boundary. Specific results and computations arepresented for evaporation corresponding to both uniform flux and purelydiffusive gas phase transport into an infinite ambient. Wetting and non-wettingcontact angles are considered with flow patterns in each case beingillustrated. The limiting behaviors of small contact angle and droplets ofhemispherical shape are treated. All of the above categories are considered forthe cases of droplets whose contact lines are either pinned or free to moveduring evaporation.
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