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Previously [arXiv:2103.15582v3], an expression was proposed for theevaporation flux density of a small liquid droplet having the shape of anaxisymmetric spherical segment deposited on a horizontal substrate. Thedependence of the flux density on the polar angle was established for arbitrarycontact angles. This formula has the form of an integral and is rathercomplicated for use in modeling algorithms. An approximate expression wasobtained for the evaporation flux density at small contact angles. However, thequestion of which simplified formulas should be appropriate to apply in otherranges of contact angles, for example, in the case of obtuse angles remainsopen. In this paper, we propose new exact solutions for the set of discrete"hydrophobic" contact angles. As an example, very simple exact expressions areobtained explicitly for the evaporation flux density for droplets with contactangles 135 and 150 degrees that do not contain integral dependencies. They canalso be used as approximate solutions for a narrow range of contact anglesaround the specified values.

New exact solutions for the evaporation flux density of a small droplet  on a flat horizontal substrate with a contact angle in the range of 135-180  degrees