A Wirtz Pump is a hollow spiral, mounted vertically. It is arranged such that one end dips below water once per revolution, while the other end (at the center of the spiral) is connected to a vertical tube. When rotated, it can be used to pump water to a great height. Explain this phenomenon and investigate how relevant parameters affect the pumping height.
Deane J H B, Bevan J J. A hydrostatic model of the Wirtz pump[J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2018, 474(2211): 20170533.