Liquid drops

Liquid drops

youmagine

Drops of liquid are described by Laplace's equation. Only one non-dimensional parameter, beta, controls the shape of any drop, and it's defined as g rho b^2/T, where g is gravity acceleration, rho is density, b is curvature, and T is superficial tension. Numerical solutions to Laplace's differential equation were used to obtain the profile for each drop, with a simple GNU/Octave script generating the final STL file. For beta > 0, standing drops are formed; for beta < 0, hanging drops occur; and when beta = 0, a sphere is obtained. All drops have a volume of 33,510 mm^3, matching the typical ping-pong ball's volume. As a result, all drops weigh nearly the same with 100% infill. STL files are available for standing drops at beta values of 1, 10, and 100, as well as hanging drops at beta values of -1, -0.5, and -0.35. To see the drops in a clear view, check out the accompanying pictures. Enjoy your large drops!

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