I want to make this problem more realistic by adding friction at the fluid exit plan and possibly swirl of the fluid (3D flow), and maybe even non-adiabatic conditions.
Please let me know if you could guide me on this. At least the solution for the simple form of this problem should be known...
A cylidrical tank (R= tank radius) filled with a liquid with an opening for the insertion of pressurized gas on top and an exit hole on bottom (r=exit hole radius).
Plot the Height of the liquid as a function of time and exit radius.
Gas pressure=const.
No swirl (1D analysis)
Any...