...
Initially, the shape of the front resembles a Gaussian, with a wide sloping surface and flat top. As the experiment progresses, the front gradually becomes smaller in size and its sides flatten, leaving a sharp peak in the center. While the fluid is not in perfect hydrostatic balance, it is stable enough that we can assume it is, as we did in our theoretical calculations.
Using equation x, we calculate the radius of deformation to be around 20 centimeters, or half of the width of the tank. Given that the boundary of the front extends all the way to the outside of the tank the tank, close to, but not at, the bottom of the tank, we can assume that the actual radius of deformation for this front is slightly larger than this prediction.
5 Challenge: Inverting the Dome!
...