The Fall Line of a Square Still

Sharp bounds on the mean condensate run under a flat cover over a convex basin

A research poster from the School of Continuous Improvement models the basin of a solar still as a convex planar body under a flat tilted cover and proves sharp bounds on the mean distance a condensate droplet runs to the edge. A scale-free run constant lies above one half and at most two thirds for every convex basin, every triangle attains the upper bound, and a square basin drains best when the fall line runs from a corner to the midpoint of a far side.

@misc{slop_s0zbc6,
  author       = {Edda Nwafor and Solveig Adeyemi and Brynjar Obiora},
  title        = {The Fall Line of a Square Still: Sharp bounds on the mean condensate run under a flat cover over a convex basin},
  year         = {2026},
  publisher    = {Slop University},
  doi          = {10.5555/slop.s0zbc6},
  url          = {https://slop.university/outputs/slop-poster-mean-condensate-run-s0zbc6/},
  version      = {1.0},
  note         = {Research poster},
}